40409047433216

Names of 40409047433216

• Cardinal: 40409047433216 can be written as Forty trillion, four hundred nine billion, forty-seven million, four hundred thirty-three thousand, two hundred sixteen.

Scientific notation

• Scientific notation: 4.0409047433216 × 10¹³

Factors of 40409047433216

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 22
• Sum of prime factors: 1095

Divisors of 40409047433216

• Number of divisors d(n): 816
• Complete list of divisors:
  1 2 4 7 8 11 14 16 22 23 28 31 32 44 46 56 62 64 77 88 92 112 121 124 128 154 161 176 184 217 224 242 248 253 256 308 322 341 352 368 434 448 484 496 506 512 616 644 682 704 713 736 847 868 896 968 992 1012 1021 1024 1232 1288 1364 1408 1426 1472 1694 1736 1771 1792 1936 1984 2024 2042 2048 2387 2464 2576 2728 2783 2816 2852 2944 3388 3472 3542 3584 3751 3872 3968 4048 4084 4096 4774 4928 4991 5152 5456 5566 5632 5704 5888 6776 6944 7084 7147 7168 7502 7744 7843 7936 8096 8168 8192 9548 9856 9982 10304 10912 11132 11231 11264 11408 11776 13552 13888 14168 14294 14336 15004 15488 15686 15872 16192 16336 16384 19096 19481 19712 19964 20608 21824 22264 22462 22528 22816 23483 23552 26257 27104 27776 28336 28588 28672 30008 30976 31372 31651 31744 32384 32672 32768 38192 38962 39424 39928 41216 43648 44528 44924 45056 45632 46966 47104 52514 54208 54901 55552 56672 57176 57344 60016 61952 62744 63302 63488 64768 65344 65536 76384 77924 78617 78848 79856 82432 86273 87296 89056 89848 90112 91264 93932 94208 105028 108416 109802 111104 113344 114352 114688 120032 123541 123904 125488 126604 126976 129536 130688 152768 155848 157234 157696 159712 164381 164864 172546 174592 178112 179696 180224 182528 187864 188416 210056 216832 219604 221557 222208 226688 228704 229376 240064 247082 247808 250976 253208 253952 258313 259072 261376 305536 311696 314468 315392 319424 328762 329728 345092 348161 349184 356224 359392 360448 365056 375728 376832 420112 433664 439208 443114 444416 453376 457408 458752 480128 494164 495616 501952 506416 507904 516626 518144 522752 603911 611072 623392 628936 630784 638848 657524 659456 690184 696322 698368 712448 718784 720896 727973 730112 751456 753664 840224 864787 867328 878416 886228 888832 906752 914816 960256 988328 991232 1003904 1012832 1015808 1033252 1036288 1045504 1207822 1222144 1246784 1257872 1261568 1277696 1315048 1318912 1380368 1392644 1396736 1424896 1437568 1455946 1460224 1502912 1507328 1680448 1729574 1734656 1756832 1772456 1777664 1808191 1813504 1829632 1920512 1976656 1982464 2007808 2025664 2031616 2066504 2072576 2091008 2415644 2437127 2444288 2493568 2515744 2523136 2555392 2630096 2637824 2760736 2785288 2793472 2841443 2849792 2875136 2911892 2920448 3005824 3360896 3459148 3469312 3513664 3544912 3555328 3616382 3627008 3659264 3829771 3841024 3953312 3964928 4015616 4051328 4133008 4145152 4182016 4831288 4874254 4888576 4987136 5031488 5046272 5095811 5110784 5260192 5275648 5521472 5570576 5586944 5682886 5699584 5750272 5823784 5840896 6011648 6721792 6918296 6938624 7027328 7089824 7110656 7232764 7254016 7318528 7659542 7682048 7906624 7929856 8007703 8031232 8102656 8266016 8290304 8364032 9662576 9748508 9777152 9974272 10062976 10191622 10221568 10520384 10551296 11042944 11141152 11173888 11365772 11399168 11500544 11647568 11681792 12023296 13443584 13836592 13877248 14054656 14179648 14221312 14465528 14508032 14637056 15319084 15364096 15813248 16015406 16062464 16205312 16532032 16580608 16728064 19325152 19497016 19554304 19890101 19948544 20125952 20383244 20443136 21040768 22085888 22282304 22347776 22731544 22798336 23001088 23295136 23363584 24046592 26808397 26887168 27673184 27754496 28109312 28359296 28931056 29016064 29274112 30638168 30728192 31626496 32030812 32124928 32410624 33064064 33456128 38650304 38994032 39108608 39780202 39897088 40251904 40766488 40886272 42081536 44171776 44564608 45463088 45596672 46002176 46590272 46727168 48093184 53616794 53774336 55346368 55508992 56053921 56218624 56718592 57862112 58032128 58548224 61276336 61456384 63252992 64061624 64249856 64821248 66128128 66912256 77300608 77988064 78217216 79560404 79794176 80503808 81532976 81772544 84163072 88084733 88343552 89129216 90926176 91193344 92004352 93180544 96186368 107233588 107548672 110692736 112107842 112437248 113437184 115724224 116064256 117096448 122552672 122912768 126505984 128123248 128499712 129642496 132256256 154601216 155976128 156434432 159120808 159588352 161007616 163065952 163545088 168326144 176169466 176687104 178258432 181852352 182386688 184008704 186361088 192372736 214467176 215097344 221385472 224215684 224874496 226874368 231448448 234192896 245105344 245825536 253011968 256246496 256999424 259284992 264512512 309202432 311952256 318241616 319176704 322015232 326131904 327090176 336652288 352338932 353374208 356516864 363704704 368017408 372722176 384745472 428934352 430194688 442770944 448431368 449748992 453748736 462896896 468385792 490210688 506023936 512492992 513998848 518569984 529025024 616593131 618404864 623904512 636483232 638353408 644030464 652263808 673304576 704677864 706748416 713033728 727409408 736034816 745444352 769490944 857868704 860389376 885541888 896862736 899497984 907497472 925793792 980421376 1012047872 1024985984 1037139968 1058050048 1233186262 1236809728 1247809024 1272966464 1276706816 1288060928 1304527616 1346609152 1409355728 1413496832 1426067456 1454818816 1490888704 1538981888 1715737408 1720778752 1771083776 1793725472 1798995968 1814994944 1851587584 1960842752 2024095744 2049971968 2074279936 2116100096 2466372524 2473619456 2495618048 2545932928 2576121856 2609055232 2693218304 2818711456 2826993664 2852134912 2909637632 2981777408 3431474816 3542167552 3587450944 3597991936 3629989888 3703175168 3921685504 4048191488 4099943936 4232200192 4932745048 4947238912 4991236096 5091865856 5152243712 5218110464 5386436608 5637422912 5653987328 5704269824 5819275264 5963554816 6862949632 7084335104 7174901888 7259979776 7406350336 7843371008 8096382976 8199887872 8464400384 9865490096 9894477824 9982472192 10183731712 10436220928 10772873216 11274845824 11408539648 11638550528 11927109632 13725899264 14168670208 14349803776 14519959552 14812700672 15686742016 16399775744 16928800768 19730980192 19788955648 19964944384 20367463424 20872441856 22549691648 22817079296 23277101056 23854219264 27451798528 28337340416 28699607552 29625401344 31373484032 32799551488 39461960384 39577911296 39929888768 40734926848 41744883712 45099383296 46554202112 47708438528 54903597056 56674680832 57399215104 59250802688 62746968064 65599102976 78923920768 79859777536 81469853696 83489767424 90198766592 93108404224 109807194112 114798430208 118501605376 125493936128 131198205952 157847841536 159719555072 162939707392 166979534848 180397533184 186216808448 219614388224 229596860416 250987872256 262396411904 315695683072 325879414784 333959069696 360795066368 439228776448 459193720832 524792823808 631391366144 651758829568 721590132736 878457552896 918387441664 1262782732288 1303517659136 1443180265472 1756915105792 1836774883328 2525565464576 2886360530944 3673549766656 5051130929152 5772721061888 10102261858304 20204523716608 40409047433216
• Sum of all divisors σ(n): 109461238247424
• Sum of proper divisors (its aliquot sum) s(n): 69052190814208
• 40409047433216 is an abundant number, because the sum of its proper divisors (69052190814208) is greater than itself. Its abundance is 28643143380992

Bases of 40409047433216

• Binary: 1001001100000001110110111010110000000000000000₂
• Hexadecimal: 0x24C076EB0000
• Base-36: EBNNRIEBK

Squares and roots of 40409047433216

• 40409047433216 squared (40409047433216²) is 1632891114459900597980102656
• 40409047433216 cubed (40409047433216³) is 65983574497487059920966370745676984221696
• The square root of 40409047433216 is 6356811.1056736615
• The cube root of 40409047433216 is 34315.7006755525

Scales and comparisons

• 40,409,047,433,216 seconds is equal to 1,284,882 years, 37 weeks, 1 day, 6 hours, 6 minutes, 56 seconds.
• To count from 1 to 40,409,047,433,216 would take you about three million, two hundred twelve thousand, two hundred six 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 40409047433216 cubic inches would be around 2859.6 feet tall.

Recreational maths with 40409047433216

• 40409047433216 backwards is 61233474090404
• The number of decimal digits it has is: 14
• The sum of 40409047433216's digits is 47
• More coming soon!