400133963120640

Names of 400133963120640

• Cardinal: 400133963120640 can be written as Four hundred trillion, one hundred thirty-three billion, nine hundred sixty-three million, one hundred twenty thousand, six hundred forty.

Scientific notation

• Scientific notation: 4.0013396312064 × 10¹⁴

Factors of 400133963120640

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 25
• Sum of prime factors: 2209

Divisors of 400133963120640

• Number of divisors d(n): 1368
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 31 32 35 40 42 48 49 56 60 62 64 70 80 84 93 96 98 105 112 120 124 128 140 147 155 160 168 186 192 196 210 217 224 240 245 248 256 280 294 310 320 336 372 384 392 420 434 448 465 480 490 496 512 560 588 620 640 651 672 735 744 768 784 840 868 896 930 960 961 980 992 1024 1085 1120 1176 1240 1280 1302 1344 1470 1488 1519 1536 1568 1680 1736 1792 1860 1920 1922 1960 1984 2048 2161 2170 2240 2352 2480 2560 2604 2688 2883 2940 2976 3038 3072 3136 3255 3360 3472 3584 3720 3840 3844 3920 3968 4096 4322 4340 4480 4557 4704 4805 4960 5120 5208 5376 5766 5880 5952 6076 6144 6272 6483 6510 6720 6727 6944 7168 7440 7595 7680 7688 7840 7936 8192 8644 8680 8960 9114 9408 9610 9920 10240 10416 10752 10805 11532 11760 11904 12152 12288 12544 12966 13020 13440 13454 13888 14336 14415 14880 15127 15190 15360 15376 15680 15872 16384 17288 17360 17920 18228 18816 19220 19840 20181 20480 20832 21504 21610 22785 23064 23520 23808 24304 24576 25088 25932 26040 26880 26908 27776 28672 28830 29760 30254 30380 30720 30752 31360 31744 32415 32768 33635 34576 34720 35840 36456 37632 38440 39680 40362 40960 41664 43008 43220 45381 45570 46128 47040 47089 47616 48608 49152 50176 51864 52080 53760 53816 55552 57344 57660 59520 60508 60760 61440 61504 62720 63488 64830 65536 66991 67270 69152 69440 71680 72912 75264 75635 76880 79360 80724 81920 83328 86016 86440 90762 91140 92256 94080 94178 95232 97216 98304 100352 100905 103728 104160 105889 107520 107632 111104 114688 115320 119040 121016 121520 122880 123008 125440 126976 129660 131072 133982 134540 138304 138880 141267 143360 145824 150528 151270 153760 158720 161448 163840 166656 172032 172880 181524 182280 184512 188160 188356 190464 194432 196608 200704 200973 201810 207456 208320 211778 215040 215264 222208 226905 229376 230640 235445 238080 242032 243040 245760 246016 250880 253952 259320 262144 267964 269080 276608 277760 282534 286720 291648 301056 302540 307520 317440 317667 322896 327680 333312 334955 344064 345760 363048 364560 369024 376320 376712 380928 388864 393216 401408 401946 403620 414912 416640 423556 430080 430528 444416 453810 458752 461280 468937 470890 476160 484064 486080 491520 492032 501760 507904 518640 529445 535928 538160 553216 555520 565068 573440 583296 602112 605080 615040 634880 635334 645792 655360 666624 669910 688128 691520 706335 726096 729120 738048 752640 753424 761856 777728 786432 802816 803892 807240 829824 833280 847112 860160 861056 888832 907620 917504 922560 937874 941780 952320 968128 972160 983040 984064 1003520 1004865 1015808 1037280 1058890 1071856 1076320 1106432 1111040 1130136 1146880 1166592 1204224 1210160 1230080 1269760 1270668 1291584 1310720 1333248 1339820 1376256 1383040 1406811 1412670 1452192 1458240 1476096 1505280 1506848 1523712 1555456 1588335 1605632 1607784 1614480 1659648 1666560 1694224 1720320 1722112 1777664 1815240 1835008 1845120 1875748 1883560 1904640 1936256 1944320 1966080 1968128 2007040 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61464510464 61720494080 63796869120 65125970560 65854832640 67226808320 68049993728 69395415040 74429680640 76830638080 78151164672 80672169984 83274498048 85062492160 87806443520 89315616768 92196765696 92580741120 97688955840 100840212480 102074990592 104093122560 104201552896 107562893312 111644520960 115245957120 119087489024 122929020928 127593738240 130251941120 131709665280 134453616640 136099987456 138790830080 148859361280 153661276160 156302329344 161344339968 170124984320 178631233536 184393531392 185161482240 195377911680 201680424960 204149981184 208186245120 208403105792 215125786624 223289041920 230491914240 238174978048 255187476480 260503882240 263419330560 268907233280 272199974912 297718722560 307322552320 312604658688 322688679936 340249968640 357262467072 368787062784 390755823360 403360849920 408299962368 416372490240 416806211584 430251573248 446578083840 460983828480 476349956096 510374952960 521007764480 537814466560 544399949824 595437445120 614645104640 625209317376 645377359872 680499937280 714524934144 781511646720 806721699840 816599924736 833612423168 860503146496 893156167680 921967656960 952699912192 1020749905920 1042015528960 1075628933120 1190874890240 1250418634752 1290754719744 1360999874560 1429049868288 1563023293440 1613443399680 1633199849472 1667224846336 1786312335360 1843935313920 1905399824384 2041499811840 2084031057920 2151257866240 2381749780480 2500837269504 2581509439488 2721999749120 2858099736576 3126046586880 3226886799360 3334449692672 3572624670720 3810799648768 4082999623680 4168062115840 4302515732480 4763499560960 5001674539008 5716199473152 6252093173760 6453773598720 6668899385344 7145249341440 8165999247360 8336124231680 9526999121920 10003349078016 11432398946304 12504186347520 12907547197440 13337798770688 14290498682880 16672248463360 19053998243840 20006698156032 25008372695040 26675597541376 28580997365760 33344496926720 40013396312064 50016745390080 57161994731520 66688993853440 80026792624128 100033490780160 133377987706880 200066981560320 400133963120640
• Sum of all divisors σ(n): 1539785142453456
• Sum of proper divisors (its aliquot sum) s(n): 1139651179332816
• 400133963120640 is an abundant number, because the sum of its proper divisors (1139651179332816) is greater than itself. Its abundance is 739517216212176

Bases of 400133963120640

• Binary: 1011010111110101101110010101111000000000000000000₂
• Hexadecimal: 0x16BEB72BC0000
• Base-36: 3XU306HM2O

Squares and roots of 400133963120640

• 400133963120640 squared (400133963120640²) is 160107188442629691607194009600
• 400133963120640 cubed (400133963120640³) is 64064323835652547857973224366599930118144000
• The square root of 400133963120640 is 20003348.7976548567
• The cube root of 400133963120640 is 73688.8544606625

Scales and comparisons

• 400,133,963,120,640 seconds is equal to 12,723,022 years, 17 weeks, 1 day, 17 hours, 4 minutes.
• To count from 1 to 400,133,963,120,640 would take you about thirty-one million, eight hundred seven thousand, five hundred fifty-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 400133963120640 cubic inches would be around 6140.7 feet tall.

Recreational maths with 400133963120640

• 400133963120640 backwards is 046021369331004
• 400133963120640 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 400133963120640's digits is 42
• More coming soon!