34380957327388672

Names of 34380957327388672

• Cardinal: 34380957327388672 can be written as Thirty-four quadrillion, three hundred eighty trillion, nine hundred fifty-seven billion, three hundred twenty-seven million, three hundred eighty-eight thousand, six hundred seventy-two.

Scientific notation

• Scientific notation: 3.4380957327388672 × 10¹⁶

Factors of 34380957327388672

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 454521

Divisors of 34380957327388672

• Number of divisors d(n): 416
• Complete list of divisors:
  1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 64 77 88 91 104 112 128 143 154 176 182 208 224 256 286 308 352 364 416 448 512 572 616 704 728 832 896 1001 1024 1144 1232 1408 1456 1664 1792 2002 2048 2288 2464 2816 2912 3328 3584 4004 4096 4576 4928 5632 5824 6656 7168 8008 9152 9856 11264 11648 13312 14336 16016 18304 19267 19712 22528 23296 26624 28672 32032 36608 38534 39424 45056 46592 53248 64064 73216 77068 78848 93184 128128 134869 146432 154136 157696 186368 211937 250471 256256 269738 292864 308272 315392 372736 423874 435221 500942 512512 539476 585728 616544 847748 870442 1001884 1025024 1078952 1233088 1483559 1695496 1740884 1753297 2003768 2050048 2157904 2466176 2755181 2967118 3046547 3390992 3481768 3506594 4007536 4100096 4315808 4787431 4932352 5510362 5657873 5934236 6093094 6781984 6963536 7013188 8015072 8631616 9574862 9864704 11020724 11315746 11868472 12186188 13563968 13927072 14026376 16030144 17263232 19149724 19286267 19729408 22041448 22631492 23736944 24372376 27127936 27854144 28052752 32060288 33512017 34526464 38299448 38572534 39458816 39605111 44082896 45262984 47473888 48744752 54255872 55708288 56105504 62236603 64120576 67024034 69052928 76598896 77145068 78917632 79210222 88165792 90525968 94947776 97489504 108511744 111416576 112211008 124473206 128241152 134048068 138105856 153197792 154290136 158420444 176331584 181051936 189895552 194979008 217023488 222833152 224422016 248946412 256482304 268096136 276211712 306395584 308580272 316840888 352663168 362103872 379791104 389958016 434046976 435656221 445666304 448844032 497892824 512964608 536192272 552423424 612791168 617160544 633681776 705326336 724207744 759582208 779916032 868093952 871312442 891332608 897688064 995785648 1025929216 1072384544 1225582336 1234321088 1267363552 1410652672 1448415488 1519164416 1559832064 1742624884 1782665216 1795376128 1991571296 2144769088 2451164672 2468642176 2534727104 2821305344 2896830976 3038328832 3119664128 3485249768 3590752256 3983142592 4289538176 4902329344 4937284352 5069454208 5642610688 5793661952 6076657664 6239328256 6970499536 7181504512 7966285184 8385403007 8579076352 9804658688 9874568704 10138908416 11285221376 11587323904 12478656512 13940999072 15932570368 16770806014 17158152704 19609317376 19749137408 20277816832 23174647808 27881998144 31865140736 33541612028 34316305408 39498274816 40555633664 55763996288 58697821049 63730281472 67083224056 68632610816 78996549632 81111267328 92239433077 109010239091 111527992576 117395642098 127460562944 134166448112 137265221632 162222534656 184478866154 218020478182 223055985152 234791284196 254921125888 268332896224 368957732308 436040956364 446111970304 469582568392 536665792448 645676031539 737915464616 763071673637 872081912728 892223940608 939165136784 1073331584896 1199112630001 1291352063078 1475830929232 1526143347274 1744163825456 1784447881216 1878330273568 2146663169792 2398225260002 2582704126156 2951661858464 3052286694548 3488327650912 3756660547136 4293326339584 4796450520004 5165408252312 5903323716928 6104573389096 6976655301824 7513321094272 8393788410007 8586652679168 9592901040008 10330816504624 11806647433856 12209146778192 13953310603648 15026642188544 16787576820014 17173305358336 19185802080016 20661633009248 23613294867712 24418293556384 27906621207296 30053284377088 33575153640028 34346610716672 38371604160032 41323266018496 47226589735424 48836587112768 55813242414592 60106568754176 67150307280056 76743208320064 82646532036992 94453179470848 97673174225536 111626484829184 120213137508352 134300614560112 153486416640128 165293064073984 188906358941696 195346348451072 223252969658368 240426275016704 268601229120224 306972833280256 330586128147968 377812717883392 390692696902144 446505939316736 537202458240448 613945666560512 661172256295936 781385393804288 1074404916480896 1227891333121024 1322344512591872 1562770787608576 2148809832961792 2455782666242048 2644689025183744 3125541575217152 4297619665923584 4911565332484096 8595239331847168 17190478663694336 34380957327388672
• Sum of all divisors σ(n): 92317422959645184
• Sum of proper divisors (its aliquot sum) s(n): 57936465632256512
• 34380957327388672 is an abundant number, because the sum of its proper divisors (57936465632256512) is greater than itself. Its abundance is 23555508304867840

Bases of 34380957327388672

• Binary: 1111010001001010100110001101100100010010111000000000000₂
• Hexadecimal: 0x7A254C6C897000
• Base-36: 9EJ15R2PQF4

Squares and roots of 34380957327388672

• 34380957327388672 squared (34380957327388672²) is 1182050226747720815821550553923584
• 34380957327388672 cubed (34380957327388672³) is 40640018404643493189000846186346947619794555240448
• The square root of 34380957327388672 is 185421027.1986127037
• The cube root of 34380957327388672 is 325166.6437770925

Scales and comparisons

• 34,380,957,327,388,672 seconds is equal to 1,093,208,095 years, 37 weeks, 5 days, 18 hours, 37 minutes, 52 seconds.
• To count from 1 to 34,380,957,327,388,672 would take you about three billion, two hundred seventy-nine million, six hundred twenty-four thousand, two hundred eighty-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 34380957327388672 cubic inches would be around 27097.2 feet tall.

Recreational maths with 34380957327388672

• 34380957327388672 backwards is 27688372375908343
• The number of decimal digits it has is: 17
• The sum of 34380957327388672's digits is 85
• More coming soon!