137139854342400
137,139,854,342,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 137139854342400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 972 divisors.
137139854342400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 137139854342400:
28 × 32 × 52 × 72 × 13 × 3737677
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 7 × 13 × 3737677)See below for interesting mathematical facts about the number 137139854342400 from the Numbermatics database.
Names of 137139854342400
- Cardinal: 137139854342400 can be written as One hundred thirty-seven trillion, one hundred thirty-nine billion, eight hundred fifty-four million, three hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.371398543424 × 1014
Factors of 137139854342400
Divisors of 137139854342400
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 28 30 32 35 36 39 40 42 45 48 49 50 52 56 60 63 64 65 70 72 75 78 80 84 90 91 96 98 100 104 105 112 117 120 126 128 130 140 144 147 150 156 160 168 175 180 182 192 195 196 200 208 210 224 225 234 240 245 252 256 260 273 280 288 294 300 312 315 320 325 336 350 360 364 384 390 392 400 416 420 441 448 450 455 468 480 490 504 520 525 546 560 576 585 588 600 624 630 637 640 650 672 700 720 728 735 768 780 784 800 819 832 840 882 896 900 910 936 960 975 980 1008 1040 1050 1092 1120 1152 1170 1176 1200 1225 1248 1260 1274 1280 1300 1344 1365 1400 1440 1456 1470 1560 1568 1575 1600 1638 1664 1680 1764 1792 1800 1820 1872 1911 1920 1950 1960 2016 2080 2100 2184 2205 2240 2275 2304 2340 2352 2400 2450 2496 2520 2548 2600 2688 2730 2800 2880 2912 2925 2940 3120 3136 3150 3185 3200 3276 3328 3360 3528 3600 3640 3675 3744 3822 3840 3900 3920 4032 4095 4160 4200 4368 4410 4480 4550 4680 4704 4800 4900 4992 5040 5096 5200 5376 5460 5600 5733 5760 5824 5850 5880 6240 6272 6300 6370 6400 6552 6720 6825 7056 7200 7280 7350 7488 7644 7800 7840 8064 8190 8320 8400 8736 8820 8960 9100 9360 9408 9555 9600 9800 9984 10080 10192 10400 10920 11025 11200 11466 11520 11648 11700 11760 12480 12544 12600 12740 13104 13440 13650 14112 14400 14560 14700 14976 15288 15600 15680 15925 16128 16380 16640 16800 17472 17640 18200 18720 18816 19110 19200 19600 20160 20384 20475 20800 21840 22050 22400 22932 23296 23400 23520 24960 25200 25480 26208 26880 27300 28224 28665 28800 29120 29400 29952 30576 31200 31360 31850 32760 33600 34944 35280 36400 37440 37632 38220 39200 40320 40768 40950 41600 43680 44100 44800 45864 46800 47040 47775 49920 50400 50960 52416 54600 56448 57330 57600 58240 58800 61152 62400 62720 63700 65520 67200 69888 70560 72800 74880 76440 78400 80640 81536 81900 83200 87360 88200 91728 93600 94080 95550 100800 101920 104832 109200 112896 114660 116480 117600 122304 124800 127400 131040 134400 141120 143325 145600 149760 152880 156800 163072 163800 174720 176400 183456 187200 188160 191100 201600 203840 209664 218400 229320 235200 244608 249600 254800 262080 282240 286650 291200 305760 313600 327600 349440 352800 366912 374400 382200 403200 407680 436800 458640 470400 489216 509600 524160 564480 573300 582400 611520 655200 705600 733824 748800 764400 815360 873600 917280 940800 1019200 1048320 1146600 1223040 1310400 1411200 1467648 1528800 1747200 1834560 2038400 2293200 2446080 2620800 2822400 3057600 3669120 3737677 4076800 4586400 5241600 6115200 7338240 7475354 9172800 11213031 12230400 14950708 18345600 18688385 22426062 26163739 29901416 33639093 36691200 37376770 44852124 48589801 52327478 56065155 59802832 67278186 74753540 78491217 89704248 93441925 97179602 104654956 112130310 119605664 130818695 134556372 145769403 149507080 156982434 168195465 179408496 183146173 186883850 194359204 209309912 224260620 235473651 239211328 242949005 261637390 269112744 280325775 291538806 299014160 313964868 336390930 340128607 358816992 366292346 373767700 388718408 392456085 418619824 437308209 448521240 470947302 478422656 485898010 523274780 538225488 549438519 560651550 583077612 598028320 627929736 654093475 672781860 680257214 717633984 728847015 732584692 747535400 777436816 784912170 837239648 840977325 874616418 897042480 915730865 941894604 956845312 971796020 1020385821 1046549560 1076450976 1098877038 1121303100 1166155224 1177368255 1196056640 1214745025 1255859472 1308186950 1345563720 1360514428 1435267968 1457694030 1465169384 1495070800 1554873632 1569824340 1648315557 1674479296 1681954650 1700643035 1749232836 1794084960 1831461730 1883789208 1943592040 1962280425 2040771642 2093099120 2152901952 2186541045 2197754076 2242606200 2332310448 2354736510 2380900249 2392113280 2429490050 2511718944 2616373900 2691127440 2721028856 2747192595 2870535936 2915388060 2930338768 2990141600 3061157463 3109747264 3139648680 3296631114 3348958592 3363909300 3401286070 3498465672 3588169920 3644235075 3662923460 3767578416 3887184080 3924560850 4081543284 4186198240 4305803904 4373082090 4395508152 4485212400 4578654325 4664620896 4709473020 4761800498 4784226560 4858980100 5023437888 5101929105 5232747800 5382254880 5442057712 5494385190 5830776120 5860677536 5886841275 5980283200 6122314926 6219494528 6279297360 6593262228 6697917184 6727818600 6802572140 6996931344 7142700747 7176339840 7288470150 7325846920 7535156832 7774368160 7849121700 8163086568 8241577785 8372396480 8503215175 8611607808 8746164180 8791016304 8970424800 9157308650 9329241792 9418946040 9523600996 9717960200 10046875776 10203858210 10465495600 10764509760 10884115424 10932705225 10988770380 11661552240 11721355072 11773682550 11904501245 11960566400 12244629852 12438989056 12558594720 13186524456 13455637200 13605144280 13735962975 13993862688 14285401494 14352679680 14576940300 14651693840 15070313664 15305787315 15548736320 15698243400 16326173136 16483155570 16744792960 17006430350 17492328360 17582032608 17940849600 18314617300 18658483584 18837892080 19047201992 19435920400 20093751552 20407716420 20930991200 21428102241 21529019520 21768230848 21865410450 21977540760 23323104480 23442710144 23547365100 23809002490 23921132800 24489259704 25117189440 25509645525 26373048912 26911274400 27210288560 27471925950 27987725376 28570802988 29153880600 29303387680 30140627328 30611574630 31097472640 31396486800 32652346272 32966311140 33489585920 34012860700 34984656720 35164065216 35713503735 35881699200 36629234600 37316967168 37675784160 38094403984 38871840800 40815432840 41207888925 41861982400 42856204482 43058039040 43536461696 43730820900 43955081520 46646208960 46885420288 47094730200 47618004980 48978519408 50234378880 51019291050 52746097824 53822548800 54420577120 54943851900 55975450752 57141605976 58307761200 58606775360 59522506225 60281254656 61223149260 62194945280 62792973600 65304692544 65932622280 68025721400 69969313440 70328130432 71427007470 71763398400 73258469200 75351568320 76188807968 76528936575 77743681600 81630865680 82415777850 83723964800 85712408964 87072923392 87461641800 87910163040 93292417920 94189460400 95236009960 97957038816 100468757760 102038582100 105492195648 107140511205 107645097600 108841154240 109887703800 111950901504 114283211952 116615522400 117213550720 119045012450 122446298520 125585947200 130609385088 131865244560 136051442800 139938626880 140656260864 142854014940 146516938400 150703136640 152377615936 153057873150 155487363200 163261731360 164831555700 167447929600 171424817928 174923283600 175820326080 178567518675 186584835840 188378920800 190472019920 195914077632 204077164200 210984391296 214281022410 215290195200 217682308480 219775407600 228566423904 233231044800 234427101440 238090024900 244892597040 251171894400 261218770176 263730489120 272102885600 279877253760 285708029880 293033876800 301406273280 304755231872 306115746300 310974726400 326523462720 329663111400 342849635856 349846567200 351640652160 357135037350 376757841600 380944039840 391828155264 408154328400 421968782592 428562044820 435364616960 439550815200 457132847808 466462089600 476180049800 489785194080 502343788800 527460978240 535702556025 544205771200 559754507520 571416059760 586067753600 609510463744 612231492600 653046925440 659326222800 685699271712 699693134400 703281304320 714270074700 753515683200 761888079680 783656310528 816308656800 857124089640 879101630400 914265695616 932924179200 952360099600 979570388160 1054921956480 1071405112050 1088411542400 1142832119520 1172135507200 1224462985200 1306093850880 1318652445600 1371398543424 1399386268800 1428540149400 1507031366400 1523776159360 1632617313600 1714248179280 1758203260800 1828531391232 1904720199200 1959140776320 2109843912960 2142810224100 2176823084800 2285664239040 2448925970400 2637304891200 2742797086848 2798772537600 2857080298800 3047552318720 3265234627200 3428496358560 3516406521600 3809440398400 3918281552640 4285620448200 4571328478080 4897851940800 5274609782400 5485594173696 5714160597600 6530469254400 6856992717120 7618880796800 8571240896400 9142656956160 9795703881600 10549219564800 11428321195200 13713985434240 15237761593600 17142481792800 19591407763200 22856642390400 27427970868480 34284963585600 45713284780800 68569927171200 137139854342400
- Sum of all divisors σ(n): 614229572372052
- Sum of proper divisors (its aliquot sum) s(n): 477089718029652
- 137139854342400 is an abundant number, because the sum of its proper divisors (477089718029652) is greater than itself. Its abundance is 339949863687252
Bases of 137139854342400
- Binary: 111110010111010010111000100110101111001000000002
- Hexadecimal: 0x7CBA5C4D7900
- Base-36: 1CM16GFGG0
Squares and roots of 137139854342400
- 137139854342400 squared (1371398543424002) is 18807339649054688136437760000
- 137139854342400 cubed (1371398543424003) is 2579235820039404264882931704403329024000000
-
The
square root of 137139854342400 is 11710672.6682287555 -
The
cube root of 137139854342400 is 51568.9031958133
Scales and comparisons
How big is 137139854342400?- 137,139,854,342,400 seconds is equal to 4,360,623 years, 8 weeks, 4 days, 16 hours.
-
To count from 1 to 137,139,854,342,400 would take you about ten million, nine hundred one thousand, five hundred fifty-seven 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 137139854342400 cubic inches would be around 4297.4 feet tall.
Recreational maths with 137139854342400
- 137139854342400 backwards is 004243458931731
- The number of decimal digits it has is: 15
- The sum of 137139854342400's digits is 54
- More coming soon!
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The information we have on file for 137139854342400 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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