400984113152

Names of 400984113152

• Cardinal: 400984113152 can be written as Four hundred billion, nine hundred eighty-four million, one hundred thirteen thousand, one hundred fifty-two.

Scientific notation

• Scientific notation: 4.00984113152 × 10¹¹

Factors of 400984113152

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 112

Divisors of 400984113152

• Number of divisors d(n): 456
• Complete list of divisors:
  1 2 4 7 8 14 16 19 28 31 32 38 49 53 56 62 64 76 98 106 112 124 128 133 152 196 212 217 224 248 256 266 304 371 392 424 434 448 496 512 532 589 608 742 784 848 868 896 931 992 1007 1024 1064 1178 1216 1484 1519 1568 1643 1696 1736 1792 1862 1984 2014 2048 2128 2356 2432 2597 2968 3038 3136 3286 3392 3472 3584 3724 3968 4028 4096 4123 4256 4712 4864 5194 5936 6076 6272 6572 6784 6944 7049 7168 7448 7936 8056 8192 8246 8512 9424 9728 10388 11501 11872 12152 12544 13144 13568 13888 14098 14336 14896 15872 16112 16384 16492 17024 18848 19456 20776 23002 23744 24304 25088 26288 27136 27776 28196 28672 28861 29792 31217 31744 32224 32768 32984 34048 37696 38912 41552 46004 47488 48608 49343 50176 52576 54272 55552 56392 57344 57722 59584 62434 63488 64448 65536 65968 68096 75392 77824 80507 83104 92008 94976 97216 98686 100352 105152 108544 111104 112784 114688 115444 119168 124868 126976 128896 131072 131936 136192 150784 155648 161014 166208 184016 189952 194432 197372 200704 210304 217088 218519 222208 225568 229376 230888 238336 249736 253952 257792 262144 263872 272384 301568 311296 322028 332416 368032 379904 388864 394744 401408 420608 434176 437038 444416 451136 458752 461776 476672 499472 507904 515584 527744 544768 603136 622592 644056 664832 736064 759808 777728 789488 802816 841216 868352 874076 888832 902272 917504 923552 953344 998944 1015808 1031168 1055488 1089536 1206272 1245184 1288112 1329664 1472128 1519616 1529633 1555456 1578976 1605632 1682432 1736704 1748152 1777664 1804544 1835008 1847104 1906688 1997888 2031616 2062336 2110976 2179072 2412544 2490368 2576224 2659328 2944256 3039232 3059266 3110912 3157952 3211264 3364864 3473408 3496304 3555328 3609088 3694208 3813376 3995776 4063232 4124672 4221952 4358144 4825088 4980736 5152448 5318656 5888512 6078464 6118532 6221824 6315904 6422528 6729728 6946816 6992608 7110656 7218176 7388416 7626752 7991552 8126464 8249344 8443904 8716288 9650176 10304896 10637312 11777024 12156928 12237064 12443648 12631808 12845056 13459456 13893632 13985216 14221312 14436352 14776832 15253504 15983104 16498688 16887808 17432576 19300352 20609792 21274624 23554048 24313856 24474128 24887296 25263616 26918912 27970432 28442624 28872704 29553664 30507008 31966208 32997376 33775616 34865152 38600704 41219584 42549248 47108096 48627712 48948256 49774592 50527232 53837824 55940864 56885248 57745408 59107328 61014016 63932416 65994752 67551232 77201408 82439168 85098496 94216192 97255424 97896512 99549184 101054464 107675648 111881728 115490816 118214656 122028032 127864832 131989504 135102464 154402816 164878336 170196992 188432384 195793024 199098368 202108928 215351296 223763456 230981632 236429312 244056064 255729664 263979008 270204928 329756672 340393984 376864768 391586048 398196736 404217856 430702592 447526912 461963264 472858624 511459328 540409856 659513344 680787968 753729536 783172096 808435712 895053824 923926528 945717248 1022918656 1080819712 1319026688 1507459072 1566344192 1616871424 1790107648 1847853056 1891434496 2045837312 2638053376 3014918144 3132688384 3233742848 3580215296 3782868992 4091674624 5276106752 6265376768 6467485696 7160430592 7565737984 8183349248 10552213504 12530753536 12934971392 14320861184 21104427008 25061507072 28641722368 50123014144 57283444736 100246028288 200492056576 400984113152
• Sum of all divisors σ(n): 1032803447040
• Sum of proper divisors (its aliquot sum) s(n): 631819333888
• 400984113152 is an abundant number, because the sum of its proper divisors (631819333888) is greater than itself. Its abundance is 230835220736

Bases of 400984113152

• Binary: 101110101011100100001000000000000000000₂
• Hexadecimal: 0x5D5C840000
• Base-36: 547JL5VK

Squares and roots of 400984113152

• 400984113152 squared (400984113152²) is 160788259000295939375104
• 400984113152 cubed (400984113152³) is 64473537440487749355872834507767808
• The square root of 400984113152 is 633233.0638493223
• The cube root of 400984113152 is 7374.1005550349

Scales and comparisons

• 400,984,113,152 seconds is equal to 12,750 years, 2 weeks, 5 days, 19 hours, 52 minutes, 32 seconds.
• To count from 1 to 400,984,113,152 would take you about twenty-five thousand, five hundred 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 400984113152 cubic inches would be around 614.5 feet tall.

Recreational maths with 400984113152

• 400984113152 backwards is 251311489004
• 400984113152 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 400984113152's digits is 38
• More coming soon!