34053988128768

Names of 34053988128768

• Cardinal: 34053988128768 can be written as Thirty-four trillion, fifty-three billion, nine hundred eighty-eight million, one hundred twenty-eight thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 3.4053988128768 × 10¹³

Factors of 34053988128768

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 197

Divisors of 34053988128768

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 81 96 108 114 128 144 152 162 171 173 192 216 228 256 288 304 324 342 346 361 384 432 456 512 513 519 576 608 648 684 692 722 768 864 912 1024 1026 1038 1083 1152 1216 1296 1368 1384 1444 1536 1539 1557 1728 1824 2048 2052 2076 2166 2304 2432 2592 2736 2768 2888 3072 3078 3114 3249 3287 3456 3648 4104 4152 4332 4608 4671 4864 5184 5472 5536 5776 6144 6156 6228 6498 6574 6859 6912 7296 8208 8304 8664 9216 9342 9728 9747 9861 10368 10944 11072 11552 12312 12456 12996 13148 13718 13824 14013 14592 16416 16608 17328 18432 18684 19456 19494 19722 20577 20736 21888 22144 23104 24624 24912 25992 26296 27436 27648 28026 29184 29241 29583 29929 32832 33216 34656 37368 38912 38988 39444 41154 41472 43776 44288 46208 49248 49824 51984 52592 54872 55296 56052 58368 58482 59166 59858 61731 62453 65664 66432 69312 74736 77976 78888 82308 82944 87552 88576 88749 89787 92416 98496 99648 103968 105184 109744 112104 116736 116964 118332 119716 123462 124906 131328 132864 138624 149472 155952 157776 164616 165888 175104 177152 177498 179574 184832 185193 187359 196992 199296 207936 210368 219488 224208 233928 236664 239432 246924 249812 262656 265728 266247 269361 277248 298944 311904 315552 329232 350208 354304 354996 359148 369664 370386 374718 393984 398592 415872 420736 438976 448416 467856 473328 478864 493848 499624 525312 531456 532494 538722 554496 555579 562077 568651 597888 623808 631104 658464 709992 718296 739328 740772 749436 787968 797184 808083 831744 841472 877952 896832 935712 946656 957728 987696 999248 1050624 1062912 1064988 1077444 1108992 1111158 1124154 1137302 1186607 1195776 1247616 1262208 1316928 1419984 1436592 1481544 1498872 1575936 1594368 1616166 1663488 1682944 1686231 1705953 1755904 1793664 1871424 1893312 1915456 1975392 1998496 2129976 2154888 2217984 2222316 2248308 2274604 2373214 2391552 2424249 2495232 2524416 2633856 2839968 2873184 2963088 2997744 3151872 3188736 3232332 3326976 3365888 3372462 3411906 3511808 3559821 3587328 3742848 3786624 3830912 3950784 3996992 4259952 4309776 4444632 4496616 4549208 4746428 4783104 4848498 4990464 5048832 5058693 5117859 5267712 5679936 5746368 5926176 5995488 6464664 6653952 6731776 6744924 6823812 7023616 7119642 7174656 7485696 7573248 7661824 7901568 7993984 8519904 8619552 8889264 8993232 9098416 9492856 9566208 9696996 9980928 10097664 10117386 10235718 10535424 10679463 10804369 11359872 11492736 11852352 11990976 12929328 13489848 13647624 14047232 14239284 14349312 14971392 15146496 15323648 15353577 15803136 15987968 17039808 17239104 17778528 17986464 18196832 18985712 19393992 19961856 20195328 20234772 20471436 21070848 21358926 21608738 22719744 22985472 23704704 23981952 25858656 26979696 27295248 28478568 28698624 29942784 30292992 30647296 30707154 31606272 31975936 32038389 32413107 34079616 34478208 35557056 35972928 36393664 37971424 38787984 40469544 40942872 42141696 42717852 43217476 45439488 45970944 46060731 47409408 47963904 51717312 53959392 54590496 56957136 59885568 60585984 61294592 61414308 63212544 63951872 64076778 64826214 68159232 68956416 71114112 71945856 72787328 75942848 77575968 80939088 81885744 85435704 86434952 90878976 91941888 92121462 94818816 95927808 96115167 97239321 103434624 107918784 109180992 113914272 122828616 126425088 127903744 128153556 129652428 136318464 137912832 142228224 143891712 145574656 151885696 155151936 161878176 163771488 170871408 172869904 181757952 183883776 184242924 189637632 191855616 192230334 194478642 205283011 206869248 215837568 218361984 227828544 245657232 256307112 259304856 272636928 275825664 284456448 287783424 291149312 291717963 303771392 310303872 323756352 327542976 341742816 345739808 368485848 379275264 383711232 384460668 388957284 410566022 413738496 431675136 436723968 455657088 491314464 512614224 518609712 545273856 551651328 568912896 575566848 582298624 583435926 607542784 615849033 620607744 647512704 655085952 683485632 691479616 736971696 768921336 777914568 821132044 827476992 863350272 873447936 875153889 911314176 982628928 1025228448 1037219424 1137825792 1151133696 1164597248 1166871852 1215085568 1231698066 1241215488 1295025408 1310171904 1366971264 1382959232 1473943392 1537842672 1555829136 1642264088 1654953984 1726700544 1746895872 1750307778 1822628352 1847547099 1965257856 2050456896 2074438848 2333743704 2430171136 2463396132 2482430976 2590050816 2620343808 2733942528 2765918464 2947886784 3075685344 3111658272 3284528176 3453401088 3493791744 3500615556 3645256704 3695094198 3930515712 4100913792 4148877696 4667487408 4926792264 4964861952 5180101632 5240687616 5467885056 5531836928 5542641297 5895773568 6151370688 6223316544 6569056352 7001231112 7290513408 7390188396 7861031424 8201827584 8297755392 9334974816 9853584528 10360203264 10481375232 10935770112 11063673856 11085282594 11791547136 12302741376 12446633088 13138112704 14002462224 14780376792 15722062848 16403655168 16595510784 16627923891 18669949632 19707169056 21871540224 22127347712 22170565188 23583094272 24605482752 24893266176 26276225408 28004924448 29560753584 31444125696 32807310336 33191021568 33255847782 37339899264 39414338112 44341130376 47166188544 49210965504 49786532352 52552450816 56009848896 59121507168 65614620672 66382043136 66511695564 74679798528 78828676224 88682260752 94332377088 98421931008 99573064704 105104901632 112019697792 118243014336 133023391128 149359597056 157657352448 177364521504 196843862016 199146129408 210209803264 224039395584 236486028672 266046782256 298719194112 315314704896 354729043008 420419606528 448078791168 472972057344 532093564512 597438388224 630629409792 709458086016 896157582336 945944114688 1064187129024 1261258819584 1418916172032 1792315164672 1891888229376 2128374258048 2837832344064 3783776458752 4256748516096 5675664688128 8513497032192 11351329376256 17026994064384 34053988128768
• Sum of all divisors σ(n): 107991014531400
• Sum of proper divisors (its aliquot sum) s(n): 73937026402632
• 34053988128768 is an abundant number, because the sum of its proper divisors (73937026402632) is greater than itself. Its abundance is 39883038273864

Bases of 34053988128768

• Binary: 111101111100011001111110111011001100000000000₂
• Hexadecimal: 0x1EF8CFDD9800
• Base-36: C2K6PA800

Squares and roots of 34053988128768

• 34053988128768 squared (34053988128768²) is 1159674107474271870149197824
• 34053988128768 cubed (34053988128768³) is 39491528289168480046045381083494017400832
• The square root of 34053988128768 is 5835579.5023945993
• The cube root of 34053988128768 is 32413.2560604803

Scales and comparisons

• 34,053,988,128,768 seconds is equal to 1,082,811 years, 25 weeks, 2 days, 2 hours, 52 minutes, 48 seconds.
• To count from 1 to 34,053,988,128,768 would take you about two million, seven hundred seven thousand and twenty-eight 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 34053988128768 cubic inches would be around 2701.1 feet tall.

Recreational maths with 34053988128768

• 34053988128768 backwards is 86782188935043
• 34053988128768 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 34053988128768's digits is 72
• More coming soon!