400829983131424

Names of 400829983131424

• Cardinal: 400829983131424 can be written as Four hundred trillion, eight hundred twenty-nine billion, nine hundred eighty-three million, one hundred thirty-one thousand, four hundred twenty-four.

Scientific notation

• Scientific notation: 4.00829983131424 × 10¹⁴

Factors of 400829983131424

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 5378401

Divisors of 400829983131424

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 4 7 8 11 14 16 22 28 29 32 44 49 56 58 77 88 98 112 116 149 154 176 196 203 224 232 298 308 319 352 392 406 464 539 596 616 638 784 812 928 1043 1078 1192 1232 1276 1421 1568 1624 1639 2086 2156 2233 2384 2464 2552 2842 3248 3278 4172 4312 4321 4466 4768 5104 5684 6496 6556 7301 8344 8624 8642 8932 10208 11368 11473 13112 14602 15631 16688 17248 17284 17864 22736 22946 26224 29204 30247 31262 33376 34568 35728 45472 45892 47531 52448 58408 60494 62524 69136 71456 80311 91784 95062 116816 120988 125048 138272 160622 183568 190124 211729 233632 241976 250096 321244 332717 367136 380248 423458 483952 500192 642488 665434 760496 846916 967904 1284976 1330868 1520992 1693832 2329019 2569952 2661736 3387664 4658038 5323472 5378203 6775328 9316076 10646944 10756406 18632152 21512812 37264304 37647421 43025624 59160233 74528608 75294842 86051248 118320466 150589684 155967887 172102496 236640932 263531947 301179368 311935774 414121631 473281864 527063894 602358736 623871548 801352247 828243262 946563728 1054127788 1091775209 1204717472 1247743096 1602704494 1656486524 1715646757 1893127456 2108255576 2183550418 2495486192 2898851417 3205408988 3312973048 3431293514 4216511152 4367100836 4990972384 5609465729 5797702834 6410817976 6625946096 6862587028 7642426463 8433022304 8734201672 8814874717 11218931458 11595405668 12009527299 12821635952 13251892192 13725174056 15284852926 17468403344 17629749434 22437862916 23190811336 23239215163 24019054598 25643271904 27450348112 30569705852 34936806688 35259498868 39266260103 44875725832 46381622672 46478430326 48038109196 54900696224 61139411704 61704123019 70518997736 78532520206 84066691093 89751451664 92763245344 92956860652 96076218392 122278823408 123408246038 141037995472 157065040412 162674506141 168133382186 179502903328 185913721304 192152436784 244557646816 246816492076 255631366793 282075990944 314130080824 325349012282 336266764372 371827442608 384304873568 431928861133 493632984152 511262733586 628260161648 650698024564 672533528744 743654885216 863857722266 987265968304 1022525467172 1138721542987 1256520323296 1301396049128 1345067057488 1727715444532 1789419567551 1974531936608 2045050934344 2277443085974 2602792098256 2690134114976 3455430889064 3578839135102 4090101868688 4554886171948 5205584196512 6910861778128 7157678270204 8180203737376 9109772343896 12525936972857 13821723556256 14315356540408 18219544687792 25051873945714 28630713080816 36439089375584 50103747891428 57261426161632 100207495782856 200414991565712 400829983131424
• Sum of all divisors σ(n): 1042909050456000
• Sum of proper divisors (its aliquot sum) s(n): 642079067324576
• 400829983131424 is an abundant number, because the sum of its proper divisors (642079067324576) is greater than itself. Its abundance is 241249084193152

Bases of 400829983131424

• Binary: 1011011001000110110000000110000101000011100100000₂
• Hexadecimal: 0x16C8D80C28720
• Base-36: 3Y2YR2TZJ4

Squares and roots of 400829983131424

• 400829983131424 squared (400829983131424²) is 160664675377137648388856267776
• 400829983131424 cubed (400829983131424³) is 64399219121233796489130173503954573944193024
• The square root of 400829983131424 is 20020738.8258131973
• The cube root of 400829983131424 is 73731.5561657899

Scales and comparisons

• 400,829,983,131,424 seconds is equal to 12,745,153 years, 31 weeks, 6 days, 20 hours, 57 minutes, 4 seconds.
• To count from 1 to 400,829,983,131,424 would take you about thirty-one million, eight hundred sixty-two thousand, eight hundred eighty-four 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 400829983131424 cubic inches would be around 6144.3 feet tall.

Recreational maths with 400829983131424

• 400829983131424 backwards is 424131389928004
• 400829983131424 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 400829983131424's digits is 58
• More coming soon!