40538240090505920

Names of 40538240090505920

• Cardinal: 40538240090505920 can be written as Forty quadrillion, five hundred thirty-eight trillion, two hundred forty billion, ninety million, five hundred five thousand, nine hundred twenty.

Scientific notation

• Scientific notation: 4.053824009050592 × 10¹⁶

Factors of 40538240090505920

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 4331110

Divisors of 40538240090505920

• Number of divisors d(n): 448
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 28 29 32 35 40 56 58 64 70 80 112 116 140 145 160 167 203 224 232 280 290 320 334 406 448 464 560 580 668 812 835 863 928 1015 1120 1160 1169 1336 1624 1670 1726 1856 2030 2240 2320 2338 2672 3248 3340 3452 4060 4315 4640 4676 4843 5344 5845 6041 6496 6680 6904 8120 8630 9280 9352 9686 10688 11690 12082 12992 13360 13808 16240 17260 18704 19372 23380 24164 24215 25027 26720 27616 30205 32480 33901 34520 37408 38744 46760 48328 48430 50054 53440 55232 60410 64960 67802 69040 74816 77488 93520 96656 96860 100108 120820 125135 135604 138080 144121 154976 169505 175189 187040 193312 193720 200216 241640 250270 271208 276160 288242 309952 339010 350378 374080 386624 387440 400432 483280 500540 542416 576484 678020 700756 720605 774880 800864 875945 966560 1001080 1008847 1084832 1152968 1356040 1401512 1441210 1549760 1601728 1751890 1933120 2002160 2017694 2169664 2305936 2712080 2803024 2882420 3503780 4004320 4035388 4179509 4330037 4611872 5044235 5424160 5606048 5764840 7007560 8008640 8070776 8359018 8660074 9223744 10088470 10848320 11212096 11529680 14015120 16141552 16718036 17320148 20176940 20897545 21650185 23059360 28030240 29256563 30310259 32283104 33436072 34640296 40353880 41795090 43300370 46118720 56060480 58513126 60620518 64566208 66872144 69280592 80707760 83590180 86600740 117026252 121241036 125571073 133744288 138561184 146282815 151551295 161415520 167180360 173201480 234052504 242482072 251142146 267488576 277122368 292565630 303102590 322831040 334360720 346402960 468105008 484964144 502284292 585131260 606205180 627855365 668721440 692805920 723116179 878997511 936210016 969928288 1004568584 1170262520 1212410360 1255710730 1337442880 1385611840 1446232358 1757995022 1872420032 1939856576 2009137168 2340525040 2424820720 2511421460 2892464716 3515990044 3615580895 3736821931 4018274336 4394987555 4681050080 4849641440 5022842920 5061813253 5784929432 7031980088 7231161790 7473643862 8036548672 8789975110 9362100160 9699282880 10045685840 10123626506 11569858864 14063960176 14462323580 14947287724 17579950220 18684109655 20091371680 20247253012 20970369191 23139717728 25309066265 26157753517 28127920352 28924647160 29894575448 35159900440 37368219310 40182743360 40494506024 41940738382 46279435456 50618132530 52315507034 56255840704 57849294320 59789150896 70319800880 74736438620 80989012048 83881476764 101236265060 104631014068 104851845955 108367835999 115698588640 119578301792 130788767585 140639601760 146792584337 149472877240 161978024096 167762953528 202472530120 209262028136 209703691910 216735671998 231397177280 239156603584 261577535170 281279203520 293585168674 298945754480 323956048192 335525907056 404945060240 418524056272 419407383820 433471343996 523155070340 541839179995 587170337348 597891508960 624049262477 671051814112 733962921685 758574851993 809890120480 837048112544 838814767640 866942687992 1046310140680 1083678359990 1174340674696 1195783017920 1248098524954 1342103628224 1467925843370 1517149703986 1619780240960 1674096225088 1677629535280 1733885375984 2092620281360 2167356719980 2348681349392 2496197049908 2935851686740 3034299407972 3120246312385 3355259070560 3467770751968 3792874259965 4185240562720 4334713439960 4368344837339 4697362698784 4992394099816 5871703373480 6068598815944 6240492624770 6710518141120 6935541503936 7585748519930 8370481125440 8669426879920 8736689674678 9394725397568 9984788199632 11743406746960 12137197631888 12480985249540 15171497039860 17338853759840 17473379349356 18097428611833 19969576399264 21841724186695 23486813493920 24274395263776 24961970499080 30342994079720 34677707519680 34946758698712 36194857223666 39939152798528 43683448373390 46973626987840 48548790527552 49923940998160 60685988159440 69893517397424 72389714447332 87366896746780 90487143059165 99847881996320 121371976318880 126682000282831 139787034794848 144779428894664 174733793493560 180974286118330 199695763992640 242743952637760 253364000565662 279574069589696 289558857789328 349467586987120 361948572236660 506728001131324 579117715578656 633410001414155 698935173974240 723897144473320 1013456002262648 1158235431157312 1266820002828310 1397870347948480 1447794288946640 2026912004525296 2533640005656620 2895588577893280 4053824009050592 5067280011313240 5791177155786560 8107648018101184 10134560022626480 20269120045252960 40538240090505920
• Sum of all divisors σ(n): 114942581025914880
• Sum of proper divisors (its aliquot sum) s(n): 74404340935408960
• 40538240090505920 is an abundant number, because the sum of its proper divisors (74404340935408960) is greater than itself. Its abundance is 33866100844903040

Bases of 40538240090505920

• Binary: 10010000000001010101000010001000011010100000001011000000₂
• Hexadecimal: 0x900550886A02C0
• Base-36: B35LUEJJMBK

Squares and roots of 40538240090505920

• 40538240090505920 squared (40538240090505920²) is 1643348909635501420952921555046400
• 40538240090505920 cubed (40538240090505920³) is 66618472651275074070488483464295616363305074688000
• The square root of 40538240090505920 is 201341103.8275739661
• The cube root of 40538240090505920 is 343522.3226581845

Scales and comparisons

• 40,538,240,090,505,920 seconds is equal to 1,288,990,641 years, 45 weeks, 1 day, 2 hours, 45 minutes, 20 seconds.
• To count from 1 to 40,538,240,090,505,920 would take you about three billion, eight hundred sixty-six million, nine hundred seventy-one thousand, nine hundred twenty-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 40538240090505920 cubic inches would be around 28626.9 feet tall.

Recreational maths with 40538240090505920

• 40538240090505920 backwards is 02950509004283504
• 40538240090505920 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 40538240090505920's digits is 56
• More coming soon!