137978653245440

Names of 137978653245440

• Cardinal: 137978653245440 can be written as One hundred thirty-seven trillion, nine hundred seventy-eight billion, six hundred fifty-three million, two hundred forty-five thousand, four hundred forty.

Scientific notation

• Scientific notation: 1.3797865324544 × 10¹⁴

Factors of 137978653245440

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 244

Divisors of 137978653245440

• Number of divisors d(n): 816
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 49 56 62 64 70 80 98 112 124 128 140 155 160 196 199 217 224 245 248 256 280 310 320 343 392 398 434 448 490 496 512 560 620 640 686 784 796 868 896 980 992 995 1024 1085 1120 1240 1280 1372 1393 1519 1568 1592 1715 1736 1792 1960 1984 1990 2048 2170 2240 2480 2560 2744 2786 3038 3136 3184 3430 3472 3584 3920 3968 3980 4096 4340 4480 4960 5120 5488 5572 6076 6169 6272 6368 6860 6944 6965 7168 7595 7840 7936 7960 8192 8680 8960 9751 9920 10240 10633 10976 11144 12152 12338 12544 12736 13720 13888 13930 14336 15190 15680 15872 15920 16384 17360 17920 19502 19840 20480 21266 21952 22288 24304 24676 25088 25472 27440 27776 27860 28672 30380 30845 31360 31744 31840 32768 34720 35840 39004 39601 39680 40960 42532 43183 43904 44576 48608 48755 49352 50176 50944 53165 54880 55552 55720 57344 60760 61690 62720 63488 63680 65536 68257 69440 71680 78008 79202 79360 81920 85064 86366 87808 89152 97216 97510 98704 100352 101888 106330 109760 111104 111440 114688 121520 123380 125440 126976 127360 136514 138880 143360 156016 158404 158720 163840 170128 172732 175616 178304 194432 195020 197408 198005 200704 203776 212660 215915 219520 222208 222880 229376 243040 246760 250880 253952 254720 273028 277207 277760 286720 302281 312032 316808 317440 327680 340256 341285 345464 351232 356608 388864 390040 394816 396010 401408 407552 425320 431830 439040 444416 445760 458752 486080 493520 501760 507904 509440 546056 554414 555520 573440 604562 624064 633616 634880 680512 682570 690928 702464 713216 777728 780080 789632 792020 802816 815104 850640 863660 878080 888832 891520 972160 987040 1003520 1015808 1018880 1092112 1108828 1111040 1146880 1209124 1227631 1248128 1267232 1269760 1361024 1365140 1381856 1386035 1404928 1426432 1511405 1555456 1560160 1579264 1584040 1605632 1630208 1701280 1727320 1756160 1777664 1783040 1940449 1944320 1974080 2007040 2031616 2037760 2115967 2184224 2217656 2222080 2293760 2418248 2455262 2496256 2534464 2539520 2722048 2730280 2763712 2772070 2809856 2852864 3022810 3110912 3120320 3158528 3168080 3211264 3260416 3402560 3454640 3512320 3555328 3566080 3880898 3888640 3948160 4014080 4075520 4231934 4368448 4435312 4444160 4836496 4910524 4992512 5068928 5079040 5444096 5460560 5527424 5544140 5619712 5705728 6045620 6138155 6221824 6240640 6317056 6336160 6520832 6805120 6909280 7024640 7110656 7132160 7761796 7777280 7896320 8028160 8151040 8463868 8593417 8736896 8870624 8888320 9672992 9702245 9821048 9985024 10137856 10158080 10579835 10888192 10921120 11054848 11088280 11239424 11411456 12091240 12276310 12443648 12481280 12634112 12672320 13041664 13583143 13610240 13818560 14049280 14221312 14264320 15523592 15554560 15792640 16056320 16302080 16927736 17186834 17473792 17741248 17776640 19345984 19404490 19642096 19970048 20275712 21159670 21776384 21842240 22109696 22176560 22478848 22822912 24182480 24552620 24887296 24962560 25268224 25344640 27166286 27220480 27637120 28098560 28528640 31047184 31109120 31585280 32604160 33855472 34373668 34947584 35482496 35553280 38691968 38808980 39284192 39940096 40551424 42319340 42967085 43552768 43684480 44219392 44353120 45645824 48364960 49105240 49774592 49925120 50536448 50689280 54332572 54440960 55274240 56197120 57057280 60153919 62094368 62218240 63170560 65208320 67710944 67915715 68747336 69895168 70964992 71106560 77383936 77617960 78568384 79880192 81102848 84638680 85934170 87105536 87368960 88438784 88706240 91291648 96729920 98210480 99549184 99850240 101072896 101378560 108665144 108881920 110548480 112394240 114114560 120307838 124188736 124436480 126341120 135421888 135831430 137494672 139790336 141929984 154767872 155235920 157136768 159760384 162205696 169277360 171868340 174211072 174737920 176877568 177412480 193459840 196420960 199700480 202145792 202757120 217330288 217763840 221096960 228229120 240615676 248377472 248872960 252682240 270843776 271662860 274989344 279580672 283859968 300769595 309535744 310471840 314273536 319520768 324411392 338554720 343736680 348422144 349475840 353755136 354824960 386919680 392841920 399400960 404291584 405514240 421077433 434660576 435527680 442193920 456458240 481231352 496754944 497745920 505364480 541687552 543325720 549978688 559161344 567719936 601539190 619071488 620943680 628547072 639041536 648822784 677109440 687473360 696844288 698951680 707510272 709649920 773839360 785683840 798801920 811028480 842154866 869321152 871055360 884387840 962462704 993509888 1010728960 1083375104 1086651440 1099957376 1118322688 1135439872 1203078380 1238142976 1241887360 1257094144 1297645568 1354218880 1374946720 1397903360 1415020544 1419299840 1547678720 1571367680 1597603840 1622056960 1684309732 1738642304 1742110720 1768775680 1924925408 1987019776 2021457920 2105387165 2166750208 2173302880 2199914752 2236645376 2270879744 2406156760 2476285952 2483774720 2514188288 2595291136 2708437760 2749893440 2795806720 2830041088 2838599680 3095357440 3142735360 3195207680 3244113920 3368619464 3477284608 3484221440 3537551360 3849850816 3974039552 4210774330 4333500416 4346605760 4399829504 4473290752 4541759488 4812313520 4952571904 4967549440 5028376576 5416875520 5499786880 5591613440 5677199360 6190714880 6285470720 6488227840 6737238928 6954569216 7075102720 7699701632 7948079104 8421548660 8667000832 8693211520 8799659008 9083518976 9624627040 9905143808 9935098880 10056753152 10833751040 10999573760 11183226880 11354398720 12381429760 12570941440 12976455680 13474477856 13909138432 14150205440 15399403264 15896158208 16843097320 17334001664 17386423040 17599318016 18167037952 19249254080 19810287616 19870197760 20113506304 21667502080 21999147520 22366453760 22708797440 24762859520 25141882880 26948955712 27818276864 30798806528 31792316416 33686194640 34668003328 34772846080 35198636032 38498508160 39740395520 40227012608 43335004160 43998295040 45417594880 49525719040 50283765760 53897911424 55636553728 61597613056 63584632832 67372389280 69336006656 69545692160 70397272064 76997016320 79480791040 80454025216 86670008320 87996590080 90835189760 99051438080 100567531520 107795822848 111273107456 123195226112 127169265664 134744778560 138672013312 139091384320 140794544128 153994032640 158961582080 173340016640 175993180160 201135063040 215591645696 222546214912 246390452224 269489557120 278182768640 281589088256 307988065280 317923164160 346680033280 351986360320 402270126080 431183291392 445092429824 492780904448 538979114240 556365537280 563178176512 615976130560 635846328320 693360066560 703972720640 862366582784 890184859648 985561808896 1077958228480 1112731074560 1231952261120 1407945441280 1724733165568 1971123617792 2155916456960 2225462149120 2463904522240 2815890882560 3449466331136 3942247235584 4311832913920 4450924298240 4927809044480 6898932662272 8623665827840 9855618088960 13797865324544 17247331655680 19711236177920 27595730649088 34494663311360 68989326622720 137978653245440
• Sum of all divisors σ(n): 400646927692800
• Sum of proper divisors (its aliquot sum) s(n): 262668274447360
• 137978653245440 is an abundant number, because the sum of its proper divisors (262668274447360) is greater than itself. Its abundance is 124689621201920

Bases of 137978653245440

• Binary: 11111010111110110101000100111010000000000000000₂
• Hexadecimal: 0x7D7DA89D0000
• Base-36: 1CWQINN08W

Squares and roots of 137978653245440

• 137978653245440 squared (137978653245440²) is 19038108751425370244880793600
• 137978653245440 cubed (137978653245440³) is 2626852605861897828364774919402562781184000
• The square root of 137978653245440 is 11746431.5111203029
• The cube root of 137978653245440 is 51673.8278321219

Scales and comparisons

• 137,978,653,245,440 seconds is equal to 4,387,294 years, 19 weeks, 4 days, 7 hours, 17 minutes, 20 seconds.
• To count from 1 to 137,978,653,245,440 would take you about ten million, nine hundred sixty-eight thousand, two hundred thirty-five 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 137978653245440 cubic inches would be around 4306.2 feet tall.

Recreational maths with 137978653245440

• 137978653245440 backwards is 044542356879731
• The number of decimal digits it has is: 15
• The sum of 137978653245440's digits is 68
• More coming soon!