137899472422400
137,899,472,422,400 is an even composite number composed of seven prime numbers multiplied together.
137899472422400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 137899472422400:
29 × 52 × 132 × 192 × 41 × 59 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 13 × 19 × 19 × 41 × 59 × 73)See below for interesting mathematical facts about the number 137899472422400 from the Numbermatics database.
Names of 137899472422400
- Cardinal: 137899472422400 can be written as One hundred thirty-seven trillion, eight hundred ninety-nine billion, four hundred seventy-two million, four hundred twenty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.378994724224 × 1014
Factors of 137899472422400
Divisors of 137899472422400
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 4 5 8 10 13 16 19 20 25 26 32 38 40 41 50 52 59 64 65 73 76 80 82 95 100 104 118 128 130 146 152 160 164 169 190 200 205 208 236 247 256 260 292 295 304 320 325 328 338 361 365 380 400 410 416 472 475 494 512 520 533 584 590 608 640 650 656 676 722 730 760 767 779 800 820 832 845 944 949 950 988 1025 1040 1066 1121 1168 1180 1216 1235 1280 1300 1312 1352 1387 1444 1460 1475 1520 1534 1558 1600 1640 1664 1690 1805 1825 1888 1898 1900 1976 2050 2080 2132 2242 2336 2360 2419 2432 2470 2560 2600 2624 2665 2704 2774 2888 2920 2950 2993 3040 3068 3116 3200 3211 3280 3328 3380 3610 3650 3776 3796 3800 3835 3895 3952 4100 4160 4225 4264 4307 4484 4672 4693 4720 4745 4838 4864 4940 5200 5248 5330 5408 5548 5605 5776 5840 5900 5986 6080 6136 6175 6232 6400 6422 6560 6656 6760 6929 6935 7220 7300 7552 7592 7600 7670 7790 7904 8200 8320 8450 8528 8614 8968 9025 9344 9386 9440 9490 9676 9728 9880 9971 10127 10400 10496 10660 10816 11096 11210 11552 11680 11800 11972 12095 12160 12272 12337 12350 12464 12800 12844 13120 13325 13520 13858 13870 14440 14573 14600 14801 14965 15104 15184 15200 15340 15580 15808 16055 16400 16640 16900 17056 17228 17936 18031 18050 18688 18772 18880 18980 19175 19352 19475 19760 19942 20254 20800 20992 21299 21320 21535 21632 22192 22420 23104 23360 23465 23600 23725 23944 24190 24320 24544 24674 24700 24928 25688 26240 26353 26650 27040 27716 27740 28025 28880 29146 29200 29602 29930 30208 30368 30400 30680 31160 31447 31616 32110 32800 33280 33800 34112 34456 34645 34675 35872 36062 36100 37376 37544 37760 37960 38350 38704 38909 38950 39520 39884 40508 41600 42598 42640 43070 43264 44384 44840 45961 46208 46720 46930 47200 47450 47888 48380 48640 49088 49348 49400 49855 49856 50635 51376 52480 52706 53300 54080 55432 55480 55991 56050 56867 57760 58292 58400 59204 59860 60475 60736 60800 61009 61360 61685 62320 62894 63232 64220 65600 67600 68224 68912 69290 69350 71744 72124 72200 72865 74005 74825 75088 75520 75920 76700 77408 77818 77900 79040 79768 80275 81016 81833 83200 85196 85280 86140 86528 88768 89680 90155 91922 92416 93440 93860 94400 94900 95776 96760 98176 98696 98800 99710 99712 101270 102752 104960 105412 106495 106600 107675 108160 110864 110960 111982 112100 113734 115520 116584 116800 117325 118408 119720 120950 121472 121600 122018 122720 123370 124640 125788 126464 128440 131200 131651 131765 135200 136448 137824 138580 138700 143488 144248 144400 145730 148010 149650 150176 151040 151840 153400 154816 155636 155800 157235 158080 159536 160550 162032 163666 166400 170392 170560 172280 173225 176587 177536 179360 180310 183844 184832 186880 187720 188800 189449 189800 191552 192413 193520 194545 196352 197392 197600 199420 199424 202540 205504 210824 212990 213200 215350 216320 221728 221920 223964 224200 227468 229805 231040 233168 233600 234403 234650 236816 239440 241900 242944 243200 244036 245440 246740 249275 249280 251576 253175 256880 262400 263302 263530 270400 272896 275648 276887 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800438080 808510040 809307200 828722791 842566400 851063200 858919168 864378400 872339780 877027840 885105728 886038400 890731400 898953536 908189360 912999685 918252400 921479936 931690240 946266880 954982496 955988800 961052300 994228352 995089280 1000547600 1010637550 1019966512 1046556160 1047462400 1051063052 1073648960 1090424725 1096284800 1106382160 1117771520 1123691920 1130156800 1134041714 1135236700 1140136192 1151849920 1164612800 1175363072 1180646168 1182833600 1193728120 1212473600 1230146944 1231443200 1242785440 1243861600 1274958140 1280700928 1293616064 1294891520 1308195200 1313828815 1342061200 1361701120 1382977700 1383005440 1395743648 1397214400 1404614900 1425170240 1439812400 1453102976 1460799496 1469203840 1475807710 1492160150 1500179200 1529582080 1537683680 1553481800 1593697675 1600876160 1617020080 1618614400 1657445582 1685132800 1702126400 1717838336 1728756800 1744679560 1770211456 1772076800 1781462800 1797907072 1816378720 1825999370 1836504800 1842959872 1863380480 1892533760 1909964992 1911977600 1922104600 1988456704 1990178560 2001095200 2021275100 2039933024 2102126104 2147297920 2180849450 2192569600 2212764320 2235543040 2247383840 2260313600 2268083428 2270473400 2280272384 2303699840 2329225600 2361292336 2365667200 2387456240 2424947200 2460293888 2462886400 2485570880 2487723200 2549916280 2587232128 2616390400 2627657630 2684122400 2723402240 2765955400 2766010880 2791487296 2794428800 2809229800 2835104285 2850340480 2879624800 2906205952 2921598992 2938407680 2951615420 2984320300 3000358400 3075367360 3106963600 3187395350 3201752320 3234040160 3237228800 3314891164 3404252800 3457513600 3489359120 3540422912 3544153600 3562925600 3595814144 3632757440 3651998740 3673009600 3689519275 3819929984 3823955200 3844209200 3976913408 3980357120 4002190400 4042550200 4079866048 4143613955 4204252208 4294595840 4361698900 4385139200 4425528640 4494767680 4536166856 4540946800 4564998425 4607399680 4658451200 4722584672 4731334400 4774912480 4920587776 4971141760 4975446400 5099832560 5174464256 5232780800 5255315260 5368244800 5531910800 5582974592 5588857600 5618459600 5670208570 5700680960 5759249600 5812411904 5843197984 5876815360 5903230840 5968640600 6150734720 6213927200 6374790700 6403504640 6468080320 6474457600 6569144075 6629782328 6808505600 6915027200 6978718240 7080845824 7125851200 7191628288 7265514880 7303997480 7346019200 7379038550 7639859968 7647910400 7688418400 8004380800 8085100400 8159732096 8287227910 8408504416 8589191680 8723397800 8851057280 8989535360 9072333712 9081893600 9129996850 9214799360 9316902400 9445169344 9462668800 9549824960 9942283520 9950892800 10199665120 10348928512 10510630520 10736489600 10773396283 11063821600 11165949184 11177715200 11236919200 11340417140 11401361920 11518499200 11686395968 11806461680 11937281200 12301469440 12427854400 12749581400 12936160640 13138288150 13259564656 13617011200 13830054400 13957436480 14175521425 14251702400 14531029760 14607994960 14692038400 14758077100 15279719936 15376836800 16008761600 16170200800 16319464192 16574455820 16817008832 17446795600 17702114560 17979070720 18144667424 18163787200 18259993700 18890338688 19099649920 19884567040 19901785600 20399330240 20718069775 21021261040 21472979200 21546792566 22127643200 22331898368 22473838400 22680834280 23036998400 23372791936 23612923360 23874562400 24602938880 24855708800 25499162800 25872321280 26276576300 26519129312 27914872960 28351042850 28503404800 29062059520 29215989920 29384076800 29516154200 30753673600 32017523200 32340401600 32638928384 33148911640 33634017664 34893591200 35404229120 35958141440 36289334848 36327574400 36519987400 37780677376 38199299840 40798660480 41436139550 42042522080 42945958400 43093585132 44255286400 44947676800 45361668560 46073996800 46745583872 47225846720 47749124800 49711417600 50998325600 51744642560 52553152600 53038258624 53866981415 55829745920 56702085700 57006809600 58431979840 59032308400 61507347200 64680803200 66297823280 67268035328 69787182400 72578669696 72655148800 73039974800 75561354752 76398599680 81597320960 82872279100 84085044160 86187170264 88510572800 89895353600 90723337120 93491167744 94451693440 95498249600 99422835200 101996651200 105106305200 106076517248 107733962830 111659491840 113404171400 116863959680 118064616800 123014694400 129361606400 132595646560 134536070656 139574364800 145157339392 145310297600 146079949600 163194641920 165744558200 168170088320 172374340528 177021145600 179790707200 181446674240 188903386880 190996499200 203993302400 210212610400 212153034496 215467925660 226808342800 233727919360 236129233600 258723212800 265191293120 269334907075 279148729600 290314678784 292159899200 331489116400 336340176640 344748681056 362893348480 377806773760 381992998400 407986604800 420425220800 424306068992 430935851320 453616685600 467455838720 472258467200 530382586240 538669814150 558297459200 584319798400 662978232800 672680353280 689497362112 725786696960 815973209600 840850441600 861871702640 907233371200 944516934400 1060765172480 1077339628300 1168639596800 1325956465600 1378994724224 1451573393920 1681700883200 1723743405280 1814466742400 1889033868800 2121530344960 2154679256600 2337279193600 2651912931200 2757989448448 3363401766400 3447486810560 3628933484800 4309358513200 5303825862400 5515978896896 6894973621120 7257866969600 8618717026400 10607651724800 13789947242240 17237434052800 27579894484480 34474868105600 68949736211200 137899472422400
- Sum of all divisors σ(n): 412330683053520
- Sum of proper divisors (its aliquot sum) s(n): 274431210631120
- 137899472422400 is an abundant number, because the sum of its proper divisors (274431210631120) is greater than itself. Its abundance is 136531738208720
Bases of 137899472422400
- Binary: 111110101101011001110010001000110000110000000002
- Hexadecimal: 0x7D6B39118600
- Base-36: 1CVQ55F668
Squares and roots of 137899472422400
- 137899472422400 squared (1378994724224002) is 19016264494376258124021760000
- 137899472422400 cubed (1378994724224003) is 2622332841219303087062842652097511424000000
-
The
square root of 137899472422400 is 11743060.6071160169 -
The
cube root of 137899472422400 is 51663.9413773731
Scales and comparisons
How big is 137899472422400?- 137,899,472,422,400 seconds is equal to 4,384,776 years, 34 weeks, 6 days, 14 hours, 13 minutes, 20 seconds.
-
To count from 1 to 137,899,472,422,400 would take you about ten million, nine hundred sixty-one thousand, nine 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 137899472422400 cubic inches would be around 4305.3 feet tall.
Recreational maths with 137899472422400
- 137899472422400 backwards is 004224274998731
- The number of decimal digits it has is: 15
- The sum of 137899472422400's digits is 62
- More coming soon!
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"Number 137899472422400 - Facts about the integer". Numbermatics.com. 2024. Web. 21 September 2024.
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Numbermatics. (2024). Number 137899472422400 - Facts about the integer. Retrieved 21 September 2024, from https://numbermatics.com/n/137899472422400/
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Numbermatics. 2024. "Number 137899472422400 - Facts about the integer". https://numbermatics.com/n/137899472422400/
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