137779864112448

Names of 137779864112448

• Cardinal: 137779864112448 can be written as One hundred thirty-seven trillion, seven hundred seventy-nine billion, eight hundred sixty-four million, one hundred twelve thousand, four hundred forty-eight.

Scientific notation

• Scientific notation: 1.37779864112448 × 10¹⁴

Factors of 137779864112448

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 11006

Divisors of 137779864112448

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 43 48 57 64 72 76 86 96 103 114 129 144 152 171 172 192 206 228 258 269 288 304 309 342 344 387 412 456 516 538 576 608 618 684 688 774 807 817 824 912 927 1032 1076 1216 1236 1368 1376 1548 1614 1634 1648 1824 1854 1957 2064 2152 2421 2451 2472 2736 2752 3096 3228 3268 3296 3648 3708 3914 4128 4304 4429 4842 4902 4944 5111 5472 5871 6192 6456 6536 6592 7353 7416 7828 8256 8608 8858 9684 9804 9888 10222 10567 10944 11567 11742 12384 12912 13072 13287 14706 14832 15333 15656 17216 17613 17716 19368 19608 19776 20444 21134 23134 23484 24768 25824 26144 26574 27707 29412 29664 30666 31312 31701 34701 35226 35432 38736 39216 39861 40888 42268 45999 46268 46968 51648 52288 53148 55414 58824 59328 61332 62624 63402 69402 70452 70864 77472 78432 79722 81776 83121 84151 84536 91998 92536 93936 95103 104103 106296 110828 117648 122664 125248 126804 138804 140904 141728 154944 156864 159444 163552 166242 168302 169072 183996 185072 187872 190206 200773 208206 212592 219773 221656 235296 245328 249363 252453 253608 277608 281808 283456 318888 327104 332484 336604 338144 367992 370144 375744 380412 401546 416412 425184 439546 443312 454381 470592 490656 498726 504906 507216 526433 555216 563616 602319 637776 659319 664968 673208 676288 735984 740288 757359 760824 803092 832824 850368 879092 886624 908762 981312 997452 1009812 1014432 1052866 1088401 1110432 1127232 1191401 1204638 1275552 1318638 1329936 1346416 1363143 1471968 1514718 1521648 1579299 1606184 1665648 1758184 1773248 1806957 1817524 1977957 1994904 2019624 2028864 2105732 2176802 2220864 2382802 2409276 2551104 2637276 2659872 2692832 2726286 2842523 2943936 3029436 3043296 3158598 3212368 3265203 3331296 3516368 3574203 3613914 3635048 3955914 3989808 4039248 4089429 4211464 4353604 4737897 4765604 4818552 5274552 5319744 5385664 5452572 5685046 6058872 6086592 6317196 6424736 6530406 6662592 7032736 7148406 7227828 7270096 7911828 7979616 8078496 8178858 8422928 8527569 8633239 8707208 9475794 9531208 9637104 9795609 10549104 10722609 10905144 11370092 12117744 12634392 12849472 13060812 14065472 14296812 14455656 14540192 15823656 15959232 16156992 16357716 16845856 17055138 17266478 17414416 18951588 19062416 19274208 19591218 20679619 21098208 21445218 21810288 22636619 22740184 24235488 25268784 25582707 25899717 26121624 28593624 28911312 29080384 31647312 32715432 33691712 34110276 34532956 34828832 37903176 38124832 38548416 39182436 41359238 42196416 42890436 43620576 45273238 45480368 46801243 48470976 50537568 51165414 51799434 52243248 54007937 57187248 57822624 62038857 63294624 65430864 67909857 68220552 69065912 69657664 75806352 76249664 77699151 78364872 82718476 85780872 87241152 90546476 90960736 93602486 101075136 102330828 103598868 104486496 108015874 114374496 115645248 122228489 124077714 126589248 130861728 135819714 136441104 138131824 140403729 151612704 155398302 156729744 162023811 165436952 171561744 181092952 181921472 186116571 187204972 203729571 204661656 207197736 208972992 216031748 228748992 244456978 248155428 261723456 271639428 272882208 276263648 280807458 292779869 303225408 310796604 313459488 324047622 330873904 343123488 362185904 366685467 372233142 374409944 407459142 409323312 414395472 421211187 432063496 486071433 488913956 496310856 543278856 545764416 552527296 561614916 585559738 621593208 626918976 648095244 661747808 686246976 724371808 733370934 744466284 748819888 814918284 818646624 828790944 842422374 864126992 878339607 889223617 972142866 977827912 992621712 1086557712 1100056401 1123229832 1171119476 1243186416 1296190488 1323495616 1448743616 1466741868 1488932568 1497639776 1629836568 1637293248 1657581888 1684844748 1728253984 1756679214 1778447234 1944285732 1955655824 1985243424 2173115424 2200112802 2246459664 2322341291 2342238952 2486372832 2592380976 2635018821 2667670851 2933483736 2977865136 2995279552 3259673136 3369689496 3456507968 3513358428 3556894468 3888571464 3911311648 3970486848 4346230848 4400225604 4492919328 4644682582 4684477904 4972745664 5184761952 5270037642 5335341702 5562817511 5866967472 5955730272 6519346272 6739378992 6967023873 7026716856 7113788936 7777142928 7822623296 8003012553 8800451208 8985838656 9289365164 9368955808 10369523904 10540075284 10670683404 11125635022 11733934944 11911460544 12589534367 13038692544 13478757984 13934047746 14053433712 14227577872 15554285856 16006025106 16688452533 17600902416 18578730328 18737911616 20901071619 21080150568 21341366808 22251270044 23467869888 25179068734 26957515968 27868095492 28106867424 28455155744 31108571712 32012050212 33376905066 35201804832 37157460656 37768603101 41802143238 42160301136 42682733616 44502540088 50065357599 50358137468 55736190984 56213734848 56910311488 64024100424 66753810132 70403609664 74314921312 75537206202 83604286476 84320602272 85365467232 89005080176 100130715198 100716274936 111472381968 113305809303 128048200848 133507620264 148629842624 151074412404 167208572952 168641204544 170730934464 178010160352 200261430396 201432549872 222944763936 226611618606 239201152973 256096401696 267015240528 302148824808 334417145904 356020320704 400522860792 402865099744 445889527872 453223237212 478402305946 512192803392 534030481056 604297649616 668834291808 717603458919 801045721584 805730199488 906446474424 956804611892 1068060962112 1208595299232 1337668583616 1435206917838 1602091443168 1812892948848 1913609223784 2152810376757 2417190598464 2870413835676 3204182886336 3625785897696 3827218447568 4305620753514 5740827671352 7251571795392 7654436895136 8611241507028 11481655342704 15308873790272 17222483014056 22963310685408 34444966028112 45926621370816 68889932056224 137779864112448
• Sum of all divisors σ(n): 431141326387200
• Sum of proper divisors (its aliquot sum) s(n): 293361462274752
• 137779864112448 is an abundant number, because the sum of its proper divisors (293361462274752) is greater than itself. Its abundance is 155581598162304

Bases of 137779864112448

• Binary: 11111010100111101011111110110111000110101000000₂
• Hexadecimal: 0x7D4F5FDB8D40
• Base-36: 1CU771PZK0

Squares and roots of 137779864112448

• 137779864112448 squared (137779864112448²) is 18983290954844636306788552704
• 137779864112448 cubed (137779864112448³) is 2615515248165557232769158731739711430459392
• The square root of 137779864112448 is 11737966.7793211955
• The cube root of 137779864112448 is 51648.9999999989

Scales and comparisons

• 137,779,864,112,448 seconds is equal to 4,380,973 years, 25 weeks, 6 days, 3 hours, 40 minutes, 48 seconds.
• To count from 1 to 137,779,864,112,448 would take you about ten million, nine hundred fifty-two thousand, four hundred thirty-three 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 137779864112448 cubic inches would be around 4304.1 feet tall.

Recreational maths with 137779864112448

• 137779864112448 backwards is 844211468977731
• 137779864112448 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 137779864112448's digits is 72
• More coming soon!