406401680412845056

Names of 406401680412845056

• Cardinal: 406401680412845056 can be written as Four hundred six quadrillion, four hundred one trillion, six hundred eighty billion, four hundred twelve million, eight hundred forty-five thousand and fifty-six.

Scientific notation

• Scientific notation: 4.06401680412845056 × 10¹⁷

Factors of 406401680412845056

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 158

Divisors of 406401680412845056

• Number of divisors d(n): 231
• Complete list of divisors:
  1 2 4 8 16 32 59 64 97 118 128 194 236 256 388 472 512 776 944 1024 1552 1888 3104 3481 3776 5723 6208 6962 7552 9409 11446 12416 13924 15104 18818 22892 24832 27848 30208 37636 45784 49664 55696 60416 75272 91568 99328 111392 150544 183136 205379 222784 301088 337657 366272 410758 445568 555131 602176 675314 732544 821516 891136 1110262 1204352 1350628 1465088 1643032 1782272 2220524 2408704 2701256 2930176 3286064 3564544 4441048 4817408 5402512 5860352 6572128 8882096 9634816 10805024 12117361 13144256 17764192 19921763 21610048 24234722 26288512 32752729 35528384 39843526 43220096 48469444 52577024 65505458 71056768 79687052 86440192 96938888 105154048 131010916 142113536 159374104 172880384 193877776 210308096 262021832 284227072 318748208 345760768 387755552 524043664 568454144 637496416 714924299 775511104 1048087328 1175384017 1274992832 1429848598 1551022208 1932411011 2096174656 2350768034 2549985664 2859697196 3102044416 3864822022 4192349312 4701536068 5099971328 5719394392 6204088832 7729644044 8384698624 9403072136 10199942656 11438788784 12408177664 15459288088 16769397248 18806144272 20399885312 22877577568 30918576176 33538794496 37612288544 42180533641 45755155136 61837152352 69347657003 75224577088 84361067282 91510310272 114012249649 123674304704 138695314006 150449154176 168722134564 183020620544 228024499298 247348609408 277390628012 300898308352 337444269128 366041241088 456048998596 494697218816 554781256024 601796616704 674888538256 732082482176 912097997192 989394437632 1109562512048 1203593233408 1349777076512 1824195994384 1978788875264 2219125024096 2699554153024 3648391988768 4091511763177 4438250048192 5399108306048 6726722729291 7296783977536 8183023526354 8876500096384 10798216612096 13453445458582 14593567955072 16366047052708 17753000192768 21596433224192 26906890917164 29187135910144 32732094105416 35506000385536 43192866448384 53813781834328 58374271820288 65464188210832 71012000771072 107627563668656 116748543640576 130928376421664 215255127337312 261856752843328 396876641028169 430510254674624 523713505686656 793753282056338 861020509349248 1047427011373312 1587506564112676 1722041018698496 2094854022746624 3175013128225352 3444082037396992 4189708045493248 6350026256450704 6888164074793984 12700052512901408 25400105025802816 50800210051605632 101600420103211264 203200840206422528 406401680412845056
• Sum of all divisors σ(n): 835021051493779209
• Sum of proper divisors (its aliquot sum) s(n): 428619371080934153
• 406401680412845056 is an abundant number, because the sum of its proper divisors (428619371080934153) is greater than itself. Its abundance is 22217690668089097

Bases of 406401680412845056

• Binary: 10110100011110101000010110011010101001000010010010000000000₂
• Hexadecimal: 0x5A3D42CD5212400
• Base-36: 335LDEKXD9TS

Squares and roots of 406401680412845056

• 406401680412845056 squared (406401680412845056²) is 165162325842384248846629200263643136
• 406401680412845056 cubed (406401680412845056³) is 67122246763238823598297541712805580984947445245935616
• 406401680412845056 is a perfect square number. Its square root is 637496416
• The cube root of 406401680412845056 is 740716.1805303143

Scales and comparisons

• 406,401,680,412,845,056 seconds is equal to 12,922,316,354 years, 10 weeks, 10 hours, 44 minutes, 16 seconds.
• To count from 1 to 406,401,680,412,845,056 would take you about thirty-eight billion, seven hundred sixty-six million, nine hundred forty-nine thousand and sixty-two 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 406401680412845056 cubic inches would be around 61726.3 feet tall.

Recreational maths with 406401680412845056

• 406401680412845056 backwards is 650548214086104604
• 406401680412845056 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 406401680412845056's digits is 64
• More coming soon!