134312006400
134,312,006,400 is an even composite number composed of seven prime numbers multiplied together.
134312006400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 134312006400:
28 × 3 × 52 × 11 × 132 × 53 × 71
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 13 × 13 × 53 × 71)See below for interesting mathematical facts about the number 134312006400 from the Numbermatics database.
Names of 134312006400
- Cardinal: 134312006400 can be written as One hundred thirty-four billion, three hundred twelve million, six thousand, four hundred.
Scientific notation
- Scientific notation: 1.343120064 × 1011
Factors of 134312006400
Divisors of 134312006400
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 25 26 30 32 33 39 40 44 48 50 52 53 55 60 64 65 66 71 75 78 80 88 96 100 104 106 110 120 128 130 132 142 143 150 156 159 160 165 169 176 192 195 200 208 212 213 220 240 256 260 264 265 275 284 286 300 312 318 320 325 330 338 352 355 384 390 400 416 424 426 429 440 480 507 520 528 530 550 568 572 583 600 624 636 640 650 660 676 689 704 710 715 768 780 781 795 800 825 832 845 848 852 858 880 923 960 975 1014 1040 1056 1060 1065 1100 1136 1144 1166 1200 1248 1272 1280 1300 1320 1325 1352 1378 1408 1420 1430 1560 1562 1590 1600 1650 1664 1690 1696 1704 1716 1749 1760 1775 1846 1859 1920 1950 2028 2067 2080 2112 2120 2130 2145 2200 2272 2288 2332 2343 2400 2496 2535 2544 2600 2640 2650 2704 2756 2769 2816 2840 2860 2915 3120 3124 3180 3200 3300 3328 3380 3392 3408 3432 3445 3498 3520 3550 3575 3692 3718 3763 3840 3900 3905 3975 4056 4134 4160 4224 4225 4240 4260 4290 4400 4544 4576 4615 4664 4686 4800 4992 5070 5088 5200 5280 5300 5325 5408 5512 5538 5577 5680 5720 5830 6240 6248 6360 6400 6600 6760 6784 6816 6864 6890 6996 7040 7100 7150 7384 7436 7526 7579 7800 7810 7950 8112 8268 8320 8448 8450 8480 8520 8580 8745 8800 8957 9088 9152 9230 9295 9328 9372 9600 9984 10140 10153 10176 10335 10400 10560 10600 10650 10725 10816 11024 11076 11154 11289 11360 11440 11660 11715 11999 12480 12496 12675 12720 13200 13520 13568 13632 13728 13780 13845 13992 14080 14200 14300 14575 14768 14872 15052 15158 15600 15620 15900 16224 16536 16640 16900 16960 17040 17160 17225 17490 17600 17914 18176 18304 18460 18590 18656 18744 18815 19200 19525 20280 20306 20352 20670 20800 21120 21200 21300 21450 21632 22048 22152 22308 22578 22720 22737 22880 23075 23320 23430 23998 24960 24992 25350 25440 26400 26871 27040 27264 27456 27560 27690 27885 27984 28400 28600 29150 29536 29744 30104 30316 30459 31200 31240 31800 32448 33072 33800 33920 34080 34320 34450 34980 35200 35828 35997 36608 36920 37180 37312 37488 37630 37895 39050 40560 40612 40704 41340 41393 41600 42240 42400 42600 42900 43264 43725 44096 44304 44616 44785 45156 45440 45474 45760 46150 46475 46640 46860 47996 48919 49920 49984 50700 50765 50880 51675 52800 53742 54080 54528 54912 55120 55380 55770 55968 56445 56800 57200 58300 58575 59072 59488 59995 60208 60632 60918 62400 62480 63600 64896 66144 67600 67840 68160 68640 68900 69225 69960 70400 71656 71994 73840 74360 74624 74976 75260 75790 78100 81120 81224 82680 82786 83200 84800 85200 85800 87450 88192 88608 89232 89570 90312 90880 90948 91520 92300 92950 93280 93720 94075 95992 97838 98527 99968 101400 101530 101760 103350 105600 107484 108160 109824 110240 110760 111540 111936 112890 113600 113685 114400 116600 117150 118144 118976 119990 120416 121264 121836 124179 124800 124960 127200 129792 131989 132288 134355 135200 136320 137280 137800 138450 139425 139920 143312 143988 146757 147680 148720 149248 149952 150520 151580 152295 156200 162240 162448 165360 165572 169600 170400 171600 174900 176384 177216 178464 179140 179985 180624 181896 183040 184600 185900 186560 187440 188150 189475 191984 195676 197054 199936 202800 203060 203520 206700 206965 211200 214968 216320 220480 221520 223080 223872 223925 225780 227200 227370 228800 233200 234300 236288 237952 239980 240832 242528 243672 244595 248358 249600 249920 253825 254400 263978 264576 268710 270400 272640 274560 275600 276900 278850 279840 282225 286624 287976 293514 295360 295581 297440 299904 299975 301040 303160 304590 312400 324480 324896 330720 331144 339200 340800 343200 349800 354432 356928 358280 359970 361248 363792 369200 371800 373120 374880 376300 378950 383968 391352 394108 395967 405600 406120 413400 413930 429936 440960 443040 446160 447744 447850 451560 454400 454740 457600 466400 468600 475904 479960 481664 485056 487344 489190 492635 496716 499840 507650 508800 527956 529152 537420 538109 540800 549120 551200 553800 557700 559680 564450 568425 573248 575952 587028 590720 591162 594880 599808 599950 602080 606320 609180 620895 624800 635947 648960 649792 659945 661440 662288 671775 681600 686400 699600 708864 713856 716560 719940 722496 727584 733785 738400 743600 746240 749760 752600 757900 761475 767936 782704 788216 791934 811200 812240 826800 827860 859872 881920 886080 892320 895700 899925 903120 909480 915200 932800 937200 959920 963328 970112 974688 978380 985270 993432 999680 1015300 1017600 1034825 1055912 1074840 1076218 1081600 1102400 1107600 1115400 1119360 1128900 1136850 1146496 1151904 1174056 1181440 1182324 1189760 1199900 1204160 1212640 1218360 1222975 1241790 1249600 1271894 1299584 1319890 1322880 1324576 1343550 1363200 1372800 1399200 1427712 1433120 1439880 1444992 1455168 1467570 1476800 1477905 1487200 1499520 1505200 1515800 1522950 1535872 1565408 1576432 1583868 1614327 1622400 1624480 1653600 1655720 1719744 1772160 1784640 1791400 1799850 1806240 1818960 1865600 1874400 1907841 1919840 1940224 1949376 1956760 1970540 1979835 1986864 2030600 2069650 2111824 2149680 2152436 2204800 2215200 2230800 2238720 2257800 2273700 2292992 2303808 2348112 2364648 2379520 2399800 2408320 2425280 2436720 2445950 2463175 2483580 2499200 2543788 2599168 2639780 2645760 2649152 2687100 2690545 2745600 2798400 2866240 2879760 2889984 2910336 2935140 2953600 2955810 2974400 2999040 3010400 3031600 3045900 3071744 3104475 3130816 3152864 3167736 3179735 3228654 3244800 3248960 3299725 3307200 3311440 3439488 3544320 3569280 3582800 3599700 3612480 3637920 3668925 3731200 3748800 3815682 3839680 3898752 3913520 3941080 3959670 3973728 4061200 4139300 4223648 4299360 4304872 4409600 4430400 4461600 4515600 4547400 4607616 4696224 4729296 4799600 4816640 4850560 4873440 4891900 4926350 4967160 4998400 5087576 5279560 5298304 5374200 5381090 5596800 5732480 5759520 5820672 5870280 5907200 5911620 5948800 6020800 6063200 6091800 6208950 6261632 6305728 6335472 6359470 6457308 6497920 6599450 6614400 6622880 6878976 6995417 7138560 7165600 7199400 7224960 7275840 7337850 7389525 7497600 7631364 7679360 7797504 7827040 7882160 7919340 7947456 8071635 8122400 8278600 8447296 8598720 8609744 8860800 8923200 9031200 9094800 9215232 9392448 9458592 9539205 9599200 9701120 9746880 9783800 9852700 9899175 9934320 10175152 10559120 10596608 10748400 10762180 11193600 11464960 11519040 11740560 11823240 11897600 12041600 12126400 12183600 12417900 12523264 12611456 12670944 12718940 12914616 12995840 13198900 13228800 13245760 13452725 13990834 14331200 14398800 14449920 14551680 14675700 14779050 14995200 15262728 15358720 15654080 15764320 15838680 15894912 15898675 16143270 16244800 16557200 16894592 17197440 17219488 17721600 17846400 18062400 18189600 18784896 18917184 19078410 19198400 19493760 19567600 19705400 19798350 19868640 20350304 20986251 21118240 21496800 21524360 23038080 23481120 23646480 24083200 24252800 24367200 24835800 25222912 25341888 25437880 25829232 26397800 26491520 26905450 27981668 28662400 28797600 29103360 29351400 29558100 30525456 31308160 31528640 31677360 31789824 31797350 32286540 32489600 33114400 33789184 34394880 34438976 34977085 35692800 36124800 36379200 37569792 37834368 38156820 38396800 38987520 39135200 39410800 39596700 39737280 40358175 40700608 41972502 42236480 42993600 43048720 46076160 46962240 47292960 47696025 48505600 48734400 49671600 50683776 50875760 51658464 52795600 52983040 53810900 55963336 57324800 57595200 58702800 59116200 61050912 62616320 63057280 63354720 63594700 64573080 64979200 66228800 68877952 69954170 72249600 72758400 75668736 76313640 76793600 78270400 78821600 79193400 79474560 80716350 81401216 83945004 84472960 85987200 86097440 93924480 94585920 95392050 97468800 99343200 101367552 101751520 103316928 104931255 105591200 107621800 111926672 115190400 117405600 118232400 122101824 126114560 126709440 127189400 129146160 132457600 137755904 139908340 145516800 152627280 156540800 157643200 158386800 158949120 161432700 162802432 167890008 168945920 171974400 172194880 174885425 187848960 189171840 190784100 194937600 198686400 203503040 206633856 209862510 211182400 215243600 223853344 230380800 234811200 236464800 244203648 253418880 254378800 258292320 264915200 279816680 305254560 313081600 315286400 316773600 322865400 335780016 344389760 349770850 378343680 381568200 397372800 407006080 413267712 419725020 422364800 430487200 447706688 469622400 472929600 488407296 506837760 508757600 516584640 524656275 559633360 610509120 630572800 633547200 645730800 671560032 688779520 699541700 763136400 794745600 814012160 839450040 844729600 860974400 895413376 939244800 945859200 1017515200 1033169280 1049312550 1119266720 1221018240 1267094400 1291461600 1343120064 1399083400 1526272800 1678900080 1721948800 1790826752 1891718400 2035030400 2066338560 2098625100 2238533440 2442036480 2534188800 2582923200 2686240128 2798166800 3052545600 3357800160 3443897600 4070060800 4197250200 4477066880 5165846400 5372480256 5596333600 6105091200 6715600320 8394500400 8954133760 10331692800 11192667200 12210182400 13431200640 16789000800 22385334400 26862401280 33578001600 44770668800 67156003200 134312006400
- Sum of all divisors σ(n): 541004873472
- Sum of proper divisors (its aliquot sum) s(n): 406692867072
- 134312006400 is an abundant number, because the sum of its proper divisors (406692867072) is greater than itself. Its abundance is 272380860672
Bases of 134312006400
- Binary: 11111010001011001111010010011000000002
- Hexadecimal: 0x1F459E9300
- Base-36: 1PP9WFEO
Squares and roots of 134312006400
- 134312006400 squared (1343120064002) is 18039715063193640960000
- 134312006400 cubed (1343120064003) is 2422950325021840709058822144000000
-
The
square root of 134312006400 is 366486.0248358729 -
The
cube root of 134312006400 is 5121.1985312651
Scales and comparisons
How big is 134312006400?- 134,312,006,400 seconds is equal to 4,270 years, 36 weeks, 5 days, 2 hours, 40 minutes.
-
To count from 1 to 134,312,006,400 would take you about eight thousand, five hundred forty-one 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 134312006400 cubic inches would be around 426.8 feet tall.
Recreational maths with 134312006400
- 134312006400 backwards is 004600213431
- 134312006400 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 134312006400's digits is 24
- More coming soon!
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The information we have on file for 134312006400 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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