1328857142400
1,328,857,142,400 is an even composite number composed of six prime numbers multiplied together.
1328857142400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 1328857142400:
27 × 33 × 52 × 172 × 19 × 2801
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 17 × 17 × 19 × 2801)See below for interesting mathematical facts about the number 1328857142400 from the Numbermatics database.
Names of 1328857142400
- Cardinal: 1328857142400 can be written as One trillion, three hundred twenty-eight billion, eight hundred fifty-seven million, one hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.3288571424 × 1012
Factors of 1328857142400
Divisors of 1328857142400
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 19 20 24 25 27 30 32 34 36 38 40 45 48 50 51 54 57 60 64 68 72 75 76 80 85 90 95 96 100 102 108 114 120 128 135 136 144 150 152 153 160 170 171 180 190 192 200 204 216 225 228 240 255 270 272 285 288 289 300 304 306 320 323 340 342 360 380 384 400 408 425 432 450 456 459 475 480 510 513 540 544 570 576 578 600 608 612 640 646 675 680 684 720 760 765 800 816 850 855 864 867 900 912 918 950 960 969 1020 1026 1080 1088 1140 1152 1156 1200 1216 1224 1275 1292 1350 1360 1368 1425 1440 1445 1520 1530 1600 1615 1632 1700 1710 1728 1734 1800 1824 1836 1900 1920 1938 2040 2052 2160 2176 2280 2295 2312 2400 2432 2448 2550 2565 2584 2601 2700 2720 2736 2801 2850 2880 2890 2907 3040 3060 3200 3230 3264 3400 3420 3456 3468 3600 3648 3672 3800 3825 3876 4080 4104 4275 4320 4335 4560 4590 4624 4800 4845 4896 5100 5130 5168 5202 5400 5440 5472 5491 5602 5700 5760 5780 5814 6080 6120 6460 6528 6800 6840 6936 7200 7225 7296 7344 7600 7650 7752 7803 8075 8160 8208 8403 8550 8640 8670 8721 9120 9180 9248 9600 9690 9792 10200 10260 10336 10404 10800 10880 10944 10982 11204 11400 11475 11560 11628 12160 12240 12825 12920 13005 13600 13680 13872 14005 14400 14450 14535 14688 15200 15300 15504 15606 16150 16320 16416 16473 16806 17100 17280 17340 17442 18240 18360 18496 19380 19584 20400 20520 20672 20808 21600 21675 21888 21964 22408 22800 22950 23120 23256 24225 24480 25209 25650 25840 26010 27200 27360 27455 27744 28010 28800 28900 29070 29376 30400 30600 31008 31212 32300 32640 32832 32946 33612 34200 34680 34884 36480 36720 36992 38760 39015 40800 41040 41344 41616 42015 43200 43350 43605 43928 44816 45600 45900 46240 46512 47617 48450 48960 49419 50418 51300 51680 52020 53219 54400 54720 54910 55488 56020 57800 58140 58752 60800 61200 62016 62424 64600 65025 65664 65892 67224 68400 69360 69768 70025 72675 73440 75627 77520 78030 81600 82080 82365 83232 84030 86400 86700 87210 87856 89632 91200 91800 92480 93024 95234 96900 97920 98838 100836 102600 103360 104040 106438 109440 109820 110976 112040 115600 116280 122400 124032 124848 126045 129200 130050 131784 134448 136800 137275 138720 139536 140050 142851 145350 146880 148257 151254 155040 156060 159657 163200 164160 164730 166464 168060 173400 174420 175712 179264 182400 183600 184960 186048 190468 193800 195075 197676 201672 205200 206720 208080 210075 212876 218025 219640 224080 231200 232560 238085 244800 247095 249696 252090 258400 260100 263568 266095 268896 273600 274550 277440 279072 280100 285702 290700 293760 296514 302508 310080 312120 319314 328320 329460 332928 336120 346800 348840 351424 358528 367200 372096 378135 380936 387600 390150 395352 403344 410400 411825 416160 420150 425752 428553 436050 439280 448160 462400 465120 476170 478971 489600 494190 499392 504180 516800 520200 527136 532190 537792 547200 549100 554880 558144 560200 571404 581400 593028 605016 620160 624240 630225 638628 658920 672240 693600 697680 702848 714255 734400 741285 756270 761872 775200 780300 790704 798285 806688 809489 820800 823650 832320 840300 851504 857106 872100 878560 896320 904723 924800 930240 952340 957942 988380 998784 1008360 1033600 1040400 1054272 1064380 1075584 1098200 1116288 1120400 1142808 1162800 1186056 1190425 1210032 1235475 1248480 1260450 1277256 1285659 1317840 1330475 1344480 1387200 1395360 1428510 1436913 1468800 1482570 1512540 1523744 1550400 1560600 1581408 1596570 1613376 1618978 1641600 1647300 1664640 1680600 1703008 1714212 1744200 1757120 1792640 1809446 1860480 1890675 1904680 1915884 1976760 2016720 2080800 2108544 2128760 2142765 2196400 2240800 2285616 2325600 2372112 2380850 2394855 2420064 2428467 2470950 2496960 2520900 2554512 2571318 2635680 2660950 2688960 2714169 2774400 2790720 2857020 2873826 2965140 3025080 3047488 3100800 3121200 3162816 3193140 3226752 3237956 3294600 3361200 3406016 3428424 3488400 3514240 3571275 3618892 3706425 3781350 3809360 3831768 3953520 3991425 4033440 4047445 4161600 4257520 4285530 4392800 4481600 4523615 4571232 4651200 4744224 4761700 4789710 4840128 4856934 4941900 4993920 5041800 5109024 5142636 5271360 5321900 5377920 5428338 5581440 5714040 5747652 5930280 6050160 6094976 6242400 6325632 6386280 6428295 6475912 6589200 6722400 6812032 6856848 6976800 7142550 7184565 7237784 7285401 7412850 7562700 7618720 7663536 7907040 7982850 8066880 8094890 8142507 8323200 8515040 8571060 8785600 8963200 9047230 9142464 9302400 9488448 9523400 9579420 9680256 9713868 9883800 10083600 10218048 10285272 10542720 10643800 10713825 10856676 11428080 11495304 11860560 11974275 12100320 12142335 12484800 12772560 12856590 12951824 13178400 13444800 13570845 13713696 13953600 14285100 14369130 14475568 14570802 14825700 15125400 15237440 15327072 15380291 15814080 15965700 16133760 16189780 16285014 17030080 17142120 17571200 18094460 18284928 18976896 19046800 19158840 19427736 19767600 20167200 20237225 20436096 20570544 21287600 21427650 21713352 21856203 22618075 22856160 22990608 23721120 23948550 24200640 24284670 24427521 24969600 25545120 25713180 25903648 26356800 26889600 27141690 27427392 27907200 28570200 28738260 28951136 29141604 29651400 30250800 30474880 30654144 30760582 31628160 31931400 32141475 32379560 32570028 34060160 34284240 35922825 36188920 36427005 38093600 38317680 38855472 39535200 40334400 40474450 40712535 41141088 42575200 42855300 43426704 43712406 45236150 45712320 45981216 46140873 47442240 47897100 48401280 48569340 48855042 51090240 51426360 51807296 52713600 54283380 54854784 57140400 57476520 57902272 58283208 59302800 60501600 60711675 61308288 61521164 63862800 64282950 64759120 65140056 67854225 68568480 71845650 72377840 72854010 76187200 76635360 76901455 77710944 79070400 80668800 80948900 81425070 82282176 85150400 85710600 86853408 87424812 90472300 91424640 91962432 92281746 94884480 95794200 97138680 97710084 102180480 102852720 103614592 108566760 109281015 114280800 114953040 115804544 116566416 118605600 121003200 121423350 122137605 123042328 127725600 128565900 129518240 130280112 135708450 137136960 138422619 143691300 144755680 145708020 152374400 153270720 153802910 155421888 158140800 161897800 162850140 164564352 170300800 171421200 173706816 174849624 180944600 182135025 183924864 184563492 191588400 194277360 195420168 203562675 205705440 217133520 218562030 228561600 229906080 230704365 233132832 237211200 242006400 242846700 244275210 246084656 255451200 257131800 259036480 260560224 271416900 274273920 276845238 287382600 289511360 291416040 306541440 307605820 310843776 323795600 325700280 342842400 347413632 349699248 361889200 364270050 369126984 383176800 384507275 388554720 390840336 407125350 411410880 415267857 434267040 437124060 457123200 459812160 461408730 466265664 474422400 485693400 488550420 492169312 510902400 514263600 518072960 521120448 542833800 546405075 553690476 574765200 579022720 582832080 610688025 615211640 647591200 651400560 685684800 692113095 699398496 723778400 728540100 738253968 766353600 769014550 777109440 781680672 814250700 822821760 830535714 868534080 874248120 919624320 922817460 932531328 971386800 977100840 984338624 1028527200 1042240896 1085667600 1092810150 1107380952 1149530400 1153521825 1165664160 1221376050 1230423280 1295182400 1302801120 1371369600 1384226190 1398796992 1447556800 1457080200 1476507936 1532707200 1538029100 1554218880 1563361344 1628501400 1661071428 1737068160 1748496240 1845634920 1942773600 1954201680 1968677248 2057054400 2076339285 2171335200 2185620300 2214761904 2299060800 2307043650 2331328320 2442752100 2460846560 2590364800 2605602240 2768452380 2797593984 2895113600 2914160400 2953015872 3076058200 3126722688 3257002800 3322142856 3460565475 3496992480 3691269840 3885547200 3908403360 4114108800 4152678570 4342670400 4371240600 4429523808 4598121600 4614087300 4662656640 4885504200 4921693120 5211204480 5536904760 5828320800 5906031744 6152116400 6514005600 6644285712 6921130950 6993984960 7382539680 7771094400 7816806720 8305357140 8685340800 8742481200 8859047616 9228174600 9771008400 9843386240 10381696425 11073809520 11656641600 12304232800 13028011200 13288571424 13842261900 13987969920 14765079360 15633613440 16610714280 17484962400 17718095232 18456349200 19542016800 20763392850 22147619040 23313283200 24608465600 26056022400 26577142848 27684523800 29530158720 33221428560 34969924800 36912698400 39084033600 41526785700 44295238080 49216931200 53154285696 55369047600 66442857120 69939849600 73825396800 78168067200 83053571400 88590476160 110738095200 132885714240 147650793600 166107142800 221476190400 265771428480 332214285600 442952380800 664428571200 1328857142400
- Sum of all divisors σ(n): 5439993336000
- Sum of proper divisors (its aliquot sum) s(n): 4111136193600
- 1328857142400 is an abundant number, because the sum of its proper divisors (4111136193600) is greater than itself. Its abundance is 2782279051200
Bases of 1328857142400
- Binary: 100110101011001100000111011010100100000002
- Hexadecimal: 0x135660ED480
- Base-36: GYGV8DC0
Squares and roots of 1328857142400
- 1328857142400 squared (13288571424002) is 1765861304907493877760000
- 1328857142400 cubed (13288571424003) is 2346577407514107410745648513024000000
-
The
square root of 1328857142400 is 1152760.6613690459 -
The
cube root of 1328857142400 is 10994.0936402155
Scales and comparisons
How big is 1328857142400?- 1,328,857,142,400 seconds is equal to 42,253 years, 28 weeks, 3 days.
-
To count from 1 to 1,328,857,142,400 would take you about one hundred five thousand, six hundred thirty-three 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 1328857142400 cubic inches would be around 916.2 feet tall.
Recreational maths with 1328857142400
- 1328857142400 backwards is 0042417588231
- 1328857142400 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 1328857142400's digits is 45
- More coming soon!
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The information we have on file for 1328857142400 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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