10457428688000
10,457,428,688,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 10457428688000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1536 divisors.
10457428688000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 10457428688000:
27 × 53 × 72 × 17 × 43 × 71 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 17 × 43 × 71 × 257)See below for interesting mathematical facts about the number 10457428688000 from the Numbermatics database.
Names of 10457428688000
- Cardinal: 10457428688000 can be written as Ten trillion, four hundred fifty-seven billion, four hundred twenty-eight million, six hundred eighty-eight thousand.
Scientific notation
- Scientific notation: 1.0457428688 × 1013
Factors of 10457428688000
Divisors of 10457428688000
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 25 28 32 34 35 40 43 49 50 56 64 68 70 71 80 85 86 98 100 112 119 125 128 136 140 142 160 170 172 175 196 200 215 224 238 245 250 257 272 280 284 301 320 340 344 350 355 392 400 425 430 448 476 490 497 500 514 544 560 568 595 602 640 680 688 700 710 731 784 800 833 850 860 875 896 952 980 994 1000 1028 1075 1088 1120 1136 1190 1204 1207 1225 1285 1360 1376 1400 1420 1462 1505 1568 1600 1666 1700 1720 1750 1775 1799 1904 1960 1988 2000 2056 2107 2125 2150 2176 2240 2272 2380 2408 2414 2450 2485 2570 2720 2752 2800 2840 2924 2975 3010 3053 3136 3200 3332 3400 3440 3479 3500 3550 3598 3655 3808 3920 3976 4000 4112 4165 4214 4250 4300 4369 4480 4544 4760 4816 4828 4900 4970 5117 5140 5375 5440 5504 5600 5680 5848 5950 6020 6035 6106 6125 6272 6425 6664 6800 6880 6958 7000 7100 7196 7310 7525 7616 7840 7952 8000 8224 8330 8428 8449 8500 8600 8738 8875 8995 9088 9520 9632 9656 9800 9940 10234 10280 10535 10750 10880 11051 11200 11360 11696 11900 12040 12070 12212 12250 12425 12593 12850 13328 13600 13760 13916 14000 14200 14392 14620 14875 15050 15232 15265 15680 15904 16000 16448 16660 16856 16898 17000 17200 17395 17476 17750 17990 18247 18275 19040 19264 19312 19600 19880 20468 20560 20825 21070 21371 21500 21845 22102 22400 22720 23392 23800 24080 24140 24424 24500 24850 25186 25585 25700 26656 27200 27520 27832 28000 28400 28784 29240 29750 30100 30175 30530 30583 31360 31808 32125 32896 33320 33712 33796 34000 34400 34790 34952 35500 35819 35980 36494 36550 37625 38080 38528 38624 39200 39760 40936 41120 41650 42140 42245 42742 43000 43690 44204 44975 45440 46784 47600 48160 48280 48848 49000 49700 50372 51170 51400 51901 52675 53312 54400 55255 55664 56000 56800 57568 58480 59143 59500 60200 60350 61060 61166 62125 62965 63616 64250 66640 67424 67592 68000 68800 69580 69904 71000 71638 71960 72988 73100 75250 76160 76325 77248 77357 78400 79520 81872 82240 83300 84280 84490 85484 86000 86975 87380 88408 89950 91235 91375 93568 95200 96320 96560 97696 98000 99400 100744 102340 102800 103802 104125 105350 106624 106855 109225 110510 111328 112000 113600 115136 116960 118286 119000 120400 120700 122120 122332 124250 125930 127729 127925 128500 133280 134848 135184 136000 137600 139160 139808 142000 143276 143920 145976 146200 149597 150500 150875 152650 152915 154496 154714 156800 159040 163744 164480 166600 168560 168980 170968 172000 173950 174760 176816 179095 179900 182470 182750 187867 190400 192640 193120 195392 196000 198800 201488 204680 205600 207604 208250 210700 211225 213710 214081 218450 221020 222656 224875 227200 230272 233920 236572 238000 240800 241400 244240 244664 248500 251860 255458 255850 257000 259505 263375 266560 269696 270368 272000 276275 278320 279616 284000 286552 287840 291952 292400 295715 299194 301000 301750 305300 305830 309428 310199 314825 318080 327488 333200 337120 337960 341936 344000 347900 349520 353632 358190 359800 363307 364940 365500 375734 380800 381625 386240 386785 390784 392000 397600 402976 409360 411200 415208 416500 421400 422450 427420 428162 434875 436900 442040 445312 449750 456175 467840 473144 476000 481600 482800 488480 489328 497000 503720 510916 511700 514000 519010 526750 533120 534275 540736 541499 546125 552550 556640 559232 568000 573104 575680 583904 584800 591430 598388 602000 603500 610600 611660 618856 620398 629650 638645 639625 654976 666400 674240 675920 683872 688000 695800 699040 707264 716380 719600 726614 729880 731000 747985 751468 763250 764575 772480 773570 784000 784621 795200 805952 818720 822400 830416 833000 842800 844900 854840 856324 869750 873800 884080 894103 895475 899500 912350 939335 946288 952000 963200 965600 976960 978656 994000 1007440 1021832 1023400 1028000 1038020 1053500 1056125 1068550 1070405 1081472 1082998 1092250 1105100 1113280 1136000 1146208 1151360 1167808 1169600 1182860 1196776 1204000 1207000 1221200 1223320 1237712 1240796 1259300 1277290 1279250 1297525 1315069 1332800 1348480 1351840 1367744 1381375 1391600 1398080 1414528 1432760 1439200 1453228 1459760 1462000 1478575 1495970 1502936 1526500 1529150 1547140 1550995 1569242 1574125 1590400 1611904 1637440 1660832 1666000 1685600 1689800 1709680 1712648 1739500 1747600 1768160 1788206 1790950 1799000 1816535 1824700 1878670 1892576 1904000 1931200 1933925 1953920 1957312 1988000 2014880 2043664 2046800 2056000 2076040 2107000 2112250 2137100 2140810 2165996 2171393 2184500 2210200 2226560 2280875 2292416 2335616 2339200 2365720 2393552 2408000 2414000 2442400 2446640 2475424 2481592 2518600 2543149 2554580 2558500 2595050 2630138 2665600 2671375 2703680 2707495 2735488 2762750 2783200 2796160 2865520 2878400 2906456 2919520 2924000 2957150 2991940 3005872 3053000 3058300 3094280 3101990 3138484 3148250 3193225 3274880 3321664 3332000 3371200 3379600 3419360 3425296 3479000 3495200 3536320 3576412 3581900 3598000 3633070 3649400 3739925 3757340 3785152 3822875 3862400 3867850 3914624 3923105 3976000 4029760 4087328 4093600 4112000 4152080 4214000 4224500 4274200 4281620 4331992 4342786 4369000 4420400 4470515 4477375 4561750 4584832 4696675 4731440 4787104 4816000 4828000 4884800 4893280 4950848 4963184 5037200 5086298 5109160 5117000 5190100 5260276 5342750 5352025 5407360 5414990 5492347 5525500 5566400 5731040 5756800 5812912 5839040 5848000 5914300 5983880 6011744 6106000 6116600 6188560 6203980 6276968 6296500 6386450 6487625 6575345 6643328 6664000 6742400 6759200 6838720 6850592 6958000 6990400 7072640 7152824 7163800 7196000 7266140 7298800 7392875 7479850 7514680 7570304 7645750 7735700 7754975 7846210 7952000 8059520 8174656 8187200 8304160 8428000 8449000 8548400 8563240 8663984 8685572 8738000 8840800 8941030 8954750 9082675 9123500 9205483 9393350 9462880 9574208 9656000 9669625 9769600 9786560 9901696 9926368 10074400 10172596 10218320 10234000 10380200 10520552 10685500 10704050 10829980 10856965 10984694 11051000 11132800 11462080 11625824 11678080 11696000 11828600 11967760 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33796000 34193600 34252960 34655936 34742288 34952000 35363200 35764120 35819000 36330700 36494000 36821932 37399250 37573400 37851520 38446429 38678500 38774875 39231050 39705472 40297600 40690384 40873280 40936000 41520800 42082208 42742000 42816200 43319920 43427860 43938776 44204000 44705150 45413375 46027415 46503296 46966750 47314400 47871040 48848000 48932800 49508480 49631840 50215744 50372000 50862980 51091600 51901000 52602760 53354228 53520250 54149900 54284825 54923470 55664000 57222592 57310400 58129120 58390400 59143000 59838800 60117440 60799004 61166000 61885600 62039800 62769680 63578725 63864500 65753450 66692785 67592000 67687375 68387200 68505920 69311872 69484576 69904000 71528240 71638000 72661400 72988000 73643864 74798500 75146800 75998755 76892858 77357000 77549750 78462100 81380768 81746560 81872000 83041600 84164416 85484000 85632400 86639840 86855720 87877552 88408000 89410300 90826750 92054830 93369899 93933500 94628800 95742080 97865600 98077625 99263680 100431488 100744000 101725960 102183200 103802000 105205520 106708456 107040500 108299800 108569650 109846940 111762875 114445184 114620800 116258240 118286000 119677600 120234880 121598008 122332000 123771200 124079600 125539360 127157450 127729000 131506900 133385570 135184000 135374750 137011840 137308675 138969152 143056480 143276000 145322800 145976000 147287728 149597000 150293600 151997510 153785716 154714000 155099500 156924200 162761536 164383625 166083200 168328832 170968000 171264800 173279680 173711440 175755104 176816000 178820600 181653500 184109660 186739798 187867000 189257600 192232145 196155250 198527360 201488000 203451920 204366400 207604000 210411040 213416912 214081000 216599600 217139300 219693880 223525750 230137075 232516480 236572000 239355200 243196016 244664000 247542400 248159200 251078720 254314900 255458000 263013800 266771140 270749500 271424125 274617350 277938304 286112960 286552000 290645600 291952000 294575456 299194000 300587200 303995020 307571432 309428000 310199000 313848400 317893625 325523072 328767250 333463925 341936000 342529600 346559360 347422880 351510208 357641200 363307000 368219320 373479596 375734000 379993775 384464290 392310500 406903840 408732800 415208000 420822080 426833824 428162000 433199200 434278600 439387760 447051500 460274150 466849495 473144000 478710400 486392032 489328000 496318400 502157440 508629800 510916000 526027600 533542280 541499000 542848250 549234700 572225920 573104000 581291200 589150912 598388000 601174400 607990040 615142864 618856000 620398000 627696800 635787250 653589293 657534500 666927850 685059200 686543375 694845760 703020416 715282400 726614000 736438640 746959192 751468000 759987550 768928580 784621000 813807680 830416000 841644160 853667648 856324000 866398400 868557200 878775520 894103000 920548300 933698990 946288000 961160725 972784064 992636800 1017259600 1021832000 1052055200 1067084560 1082998000 1085696500 1098469400 1150685375 1162582400 1178301824 1196776000 1215980080 1230285728 1237712000 1240796000 1255393600 1271574500 1307178586 1315069000 1333855700 1373086750 1389691520 1430564800 1453228000 1472877280 1493918384 1502936000 1519975100 1537857160 1569242000 1627615360 1667319625 1707335296 1712648000 1732796800 1737114400 1757551040 1788206000 1841096600 1867397980 1899968875 1922321450 1945568128 2034519200 2043664000 2104110400 2134169120 2165996000 2171393000 2196938800 2301370750 2334247475 2393552000 2431960160 2460571456 2481592000 2510787200 2543149000 2614357172 2630138000 2667711400 2746173500 2861129600 2906456000 2945754560 2987836768 3005872000 3039950200 3075714320 3138484000 3267946465 3334639250 3425296000 3474228800 3515102080 3576412000 3682193200 3734795960 3799937750 3844642900 4069038400 4208220800 4268338240 4331992000 4342786000 4393877600 4602741500 4668494950 4805803625 4863920320 4921142912 4963184000 5086298000 5228714344 5260276000 5335422800 5492347000 5812912000 5891509120 5975673536 6079900400 6151428640 6276968000 6535892930 6669278500 6948457600 7152824000 7364386400 7469591920 7599875500 7689285800 8138076800 8536676480 8663984000 8685572000 8787755200 9205483000 9336989900 9611607250 9727840640 10172596000 10457428688 10520552000 10670845600 10984694000 11671237375 11951347072 12159800800 12302857280 12553936000 13071785860 13338557000 14305648000 14728772800 14939183840 15199751000 15378571600 16339732325 17371144000 17575510400 18410966000 18673979800 19223214500 20345192000 20914857376 21041104000 21341691200 21969388000 23342474750 24319601600 24605714560 26143571720 26677114000 29457545600 29878367680 30399502000 30757143200 32679464650 34742288000 36821932000 37347959600 38446429000 40690384000 41829714752 42683382400 43938776000 46684949500 48639203200 52287143440 53354228000 59756735360 60799004000 61514286400 65358929300 73643864000 74695919200 76892858000 81698661625 83659429504 87877552000 93369899000 104574286880 106708456000 121598008000 123028572800 130717858600 147287728000 149391838400 153785716000 163397323250 186739798000 209148573760 213416912000 243196016000 261435717200 298783676800 307571432000 326794646500 373479596000 418297147520 522871434400 615142864000 653589293000 746959192000 1045742868800 1307178586000 1493918384000 2091485737600 2614357172000 5228714344000 10457428688000
- Sum of all divisors σ(n): 33359306872320
- Sum of proper divisors (its aliquot sum) s(n): 22901878184320
- 10457428688000 is an abundant number, because the sum of its proper divisors (22901878184320) is greater than itself. Its abundance is 12444449496320
Bases of 10457428688000
- Binary: 100110000010110011110101001001111100100000002
- Hexadecimal: 0x982CF527C80
- Base-36: 3PG2R1DA8
Squares and roots of 10457428688000
- 10457428688000 squared (104574286880002) is 109357814764605401344000000
- 10457428688000 cubed (104574286880003) is 1143601549376374491014499356672000000000
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The
square root of 10457428688000 is 3233794.7813675499 -
The
cube root of 10457428688000 is 21867.9616652415
Scales and comparisons
How big is 10457428688000?- 10,457,428,688,000 seconds is equal to 332,513 years, 46 weeks, 6 hours, 13 minutes, 20 seconds.
-
To count from 1 to 10,457,428,688,000 would take you about eight hundred thirty-one thousand, two hundred eighty-four years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 10457428688000 cubic inches would be around 1822.3 feet tall.
Recreational maths with 10457428688000
- 10457428688000 backwards is 00088682475401
- The number of decimal digits it has is: 14
- The sum of 10457428688000's digits is 53
- More coming soon!
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The information we have on file for 10457428688000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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