106716289014400
106,716,289,014,400 is an even composite number composed of seven prime numbers multiplied together.
106716289014400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 106716289014400:
27 × 52 × 13 × 23 × 73 × 683 × 2237
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 23 × 73 × 683 × 2237)See below for interesting mathematical facts about the number 106716289014400 from the Numbermatics database.
Names of 106716289014400
- Cardinal: 106716289014400 can be written as One hundred six trillion, seven hundred sixteen billion, two hundred eighty-nine million, fourteen thousand, four hundred.
Scientific notation
- Scientific notation: 1.067162890144 × 1014
Factors of 106716289014400
Divisors of 106716289014400
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 23 25 26 32 40 46 50 52 64 65 73 80 92 100 104 115 128 130 146 160 184 200 208 230 260 292 299 320 325 365 368 400 416 460 520 575 584 598 640 650 683 730 736 800 832 920 949 1040 1150 1168 1196 1300 1366 1460 1472 1495 1600 1664 1679 1825 1840 1898 2080 2237 2300 2336 2392 2600 2732 2920 2944 2990 3200 3358 3415 3650 3680 3796 4160 4474 4600 4672 4745 4784 5200 5464 5840 5980 6716 6830 7300 7360 7475 7592 8320 8395 8879 8948 9200 9344 9490 9568 10400 10928 11185 11680 11960 13432 13660 14600 14720 14950 15184 15709 16790 17075 17758 17896 18400 18980 19136 20800 21827 21856 22370 23360 23725 23920 26864 27320 29081 29200 29900 30368 31418 33580 34150 35516 35792 36800 37960 38272 41600 41975 43654 43712 44395 44740 46720 47450 47840 49859 51451 53728 54640 55925 58162 58400 59800 60736 62836 67160 68300 71032 71584 73600 75920 78545 83950 87308 87424 88790 89480 94900 95680 99718 102902 107456 109135 109280 111850 116324 116800 119600 121472 125672 134320 136600 142064 143168 145405 151840 157090 163301 167900 174616 177580 178960 189800 191360 199436 204217 205804 214912 218270 218560 221975 223700 232648 233600 239200 249295 251344 257255 268640 273200 284128 286336 290810 303680 314180 326602 335800 349232 355160 357920 379600 392725 398872 408434 411608 436540 437120 443950 447400 465296 478400 498590 502688 514510 537280 545675 546400 568256 581620 607360 628360 648167 653204 668863 671600 698464 710320 715840 727025 759200 785450 797744 816505 816868 823216 873080 887900 894800 930592 956800 997180 1005376 1021085 1029020 1074560 1091350 1092800 1136512 1146757 1163240 1246475 1256720 1286275 1296334 1306408 1337726 1343200 1396928 1420640 1431680 1454050 1518400 1527871 1570900 1595488 1633010 1633736 1646432 1746160 1775800 1789600 1861184 1994360 2010752 2042170 2058040 2122913 2182700 2185600 2293514 2326480 2492950 2513440 2572550 2592668 2612816 2675452 2686400 2793856 2841280 2908100 3036800 3055742 3141800 3190976 3240835 3266020 3267472 3292864 3344315 3492320 3551600 3579200 3722368 3755923 3988720 4082525 4084340 4116080 4245826 4365400 4587028 4652960 4985900 5026880 5105425 5145100 5185336 5225632 5350904 5372800 5682560 5733785 5816200 6111484 6283600 6381952 6481670 6532040 6534944 6585728 6688630 6984640 7103200 7158400 7511846 7639355 7977440 8165050 8168680 8232160 8491652 8730800 9174056 9305920 9971800 10053760 10210850 10290200 10370672 10451264 10614565 10701808 11467570 11632400 12222968 12567200 12963340 13064080 13069888 13377260 13969280 14206400 14907841 15023692 15278710 15954880 16204175 16330100 16337360 16464320 16721575 16983304 17461600 18348112 18611840 18779615 19862323 19943600 20421700 20580400 20741344 20902528 21229130 21403616 22935140 23264800 24445936 25134400 25926680 26128160 26139776 26754520 28412800 28668925 29815682 30047384 30557420 31909760 32408350 32660200 32674720 32928640 33443150 33966608 34923200 35141033 36696224 37559230 38196775 39724646 39887200 40843400 41160800 41482688 42458260 42807232 45870280 46529600 48826999 48891872 50268800 51853360 52256320 53072825 53509040 57337850 59631364 60094768 61114840 64816700 65320400 65349440 66886300 67933216 69846400 70282066 73392448 74539205 75118460 76393550 79449292 79774400 81686800 82321600 82965376 84916520 85614464 91740560 93059200 93898075 97653998 97783744 99311615 103706720 104512640 106145650 107018080 111534583 114675700 119262728 120189536 122229680 129633400 130640800 130698880 133772600 135866432 140564132 146784896 149078410 150236920 152787100 158898584 159548800 163373600 164643200 169833040 175705165 183481120 187796150 195307996 195567488 198623230 207413440 212291300 214036160 223069166 229351400 238525456 240379072 244134995 244459360 259266800 261281600 267545200 271732864 281128264 298156820 300473840 305574200 317797168 326747200 339666080 351410330 366962240 372696025 375592300 390615992 397246460 414826880 424582600 428072320 446138332 456833429 458702800 477050912 480758144 488269990 488918720 496558075 518533600 522563200 535090400 557672915 562256528 596313640 600947680 611148400 635594336 653494400 679332160 702820660 733924480 745392050 751184600 781231984 794492920 849165200 878525825 892276664 913666858 917405600 954101824 976539980 977837440 993116150 1037067200 1070180800 1115345830 1124513056 1192627280 1201895360 1220674975 1222296800 1271188672 1358664320 1405641320 1449949579 1490784100 1502369200 1562463968 1588985840 1698330400 1757051650 1784553328 1827333716 1834811200 1908203648 1953079960 1986232300 2074134400 2140361600 2230691660 2249026112 2284167145 2385254560 2403790720 2441349950 2444593600 2542377344 2565295409 2788364575 2811282640 2899899158 2981568200 3004738400 3124927936 3177971680 3396660800 3514103300 3569106656 3654667432 3669622400 3906159920 3972464600 4461383320 4498052224 4568334290 4770509120 4882699900 4889187200 5130590818 5576729150 5622565280 5799798316 5963136400 6009476800 6249855872 6355943360 6793321600 7028206600 7138213312 7249747895 7309334864 7812319840 7944929200 8922766640 9136668580 9541018240 9765399800 10261181636 11153458300 11245130560 11420835725 11599596632 11926272800 12018953600 12711886720 12826477045 14056413200 14276426624 14499495790 14618669728 15624639680 15889858400 17845533280 18273337160 19530799600 20522363272 22306916600 22490261120 22841671450 23199193264 23852545600 25652954090 28112826400 28998991580 29237339456 31249279360 31779716800 33348840317 35691066560 36248739475 36546674320 39061599200 41044726544 44613833200 45683342900 46398386528 47705091200 51305908180 56225652800 57997983160 58474678912 63559433600 64132385225 66697680634 71382133120 72497478950 73093348640 78123198400 82089453088 89227666400 91366685800 92796773056 102611816360 112451305600 115995966320 128264770450 133395361268 144994957900 146186697280 156246396800 164178906176 166744201585 178455332800 182733371600 185593546112 205223632720 231991932640 256529540900 266790722536 289989915800 292373394560 328357812352 333488403170 356910665600 365466743200 410447265440 463983865280 513059081800 533581445072 579979831600 666976806340 730933486400 820894530880 833721007925 927967730560 1026118163600 1067162890144 1159959663200 1333953612680 1461866972800 1641789061760 1667442015850 2052236327200 2134325780288 2319919326400 2667907225360 3334884031700 4104472654400 4268651560576 4639838652800 5335814450720 6669768063400 8208945308800 10671628901440 13339536126800 21343257802880 26679072253600 53358144507200 106716289014400
- Sum of all divisors σ(n): 300877045136640
- Sum of proper divisors (its aliquot sum) s(n): 194160756122240
- 106716289014400 is an abundant number, because the sum of its proper divisors (194160756122240) is greater than itself. Its abundance is 87444467107840
Bases of 106716289014400
- Binary: 110000100001110110100100111111110011010100000002
- Hexadecimal: 0x610ED27F9A80
- Base-36: 11TSSB59J4
Squares and roots of 106716289014400
- 106716289014400 squared (1067162890144002) is 11388366341004950123407360000
- 106716289014400 cubed (1067162890144003) is 1215324193848549283110596776264105984000000
-
The
square root of 106716289014400 is 10330357.6421341773 -
The
cube root of 106716289014400 is 47432.5971445939
Scales and comparisons
How big is 106716289014400?- 106,716,289,014,400 seconds is equal to 3,393,247 years, 46 weeks, 3 days, 23 hours, 6 minutes, 40 seconds.
-
To count from 1 to 106,716,289,014,400 would take you about eight million, four hundred eighty-three thousand, one hundred nineteen 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 106716289014400 cubic inches would be around 3952.7 feet tall.
Recreational maths with 106716289014400
- 106716289014400 backwards is 004410982617601
- The number of decimal digits it has is: 15
- The sum of 106716289014400's digits is 49
- More coming soon!
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The information we have on file for 106716289014400 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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