401688940978790656

Names of 401688940978790656

• Cardinal: 401688940978790656 can be written as Four hundred one quadrillion, six hundred eighty-eight trillion, nine hundred forty billion, nine hundred seventy-eight million, seven hundred ninety thousand, six hundred fifty-six.

Scientific notation

• Scientific notation: 4.01688940978790656 × 10¹⁷

Factors of 401688940978790656

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 625

Divisors of 401688940978790656

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 4 8 16 31 32 62 64 71 124 128 142 248 256 284 496 521 568 992 1042 1136 1984 2084 2201 2272 3968 4168 4402 4544 5041 7936 8336 8804 9088 10082 16151 16672 17608 18176 20164 32302 33344 35216 36991 40328 64604 66688 70432 73982 80656 129208 133376 140864 147964 156271 161312 258416 271441 281728 295928 312542 322624 357911 516832 542882 563456 591856 625084 645248 715822 1033664 1085764 1146721 1183712 1250168 1290496 1431644 2067328 2171528 2293442 2367424 2500336 2626361 2863288 4134656 4343056 4586884 4734848 5000672 5252722 5726576 8414671 8686112 9173768 9469696 10001344 10505444 11095241 11453152 16829342 17372224 18347536 19272311 20002688 21010888 22190482 22906304 33658684 34744448 36695072 38544622 40005376 42021776 44380964 45812608 67317368 69488896 73390144 77089244 81417191 84043552 88761928 91625216 134634736 141420761 146780288 154178488 162834382 168087104 177523856 186471631 269269472 282841522 293560576 308356976 325668764 336174208 355047712 372943262 538538944 565683044 597441641 616713952 651337528 672348416 710095424 745886524 1077077888 1131366088 1194883282 1233427904 1302675056 1368334081 1420190848 1491773048 2154155776 2262732176 2389766564 2466855808 2605350112 2736668162 2840381696 2983546096 4384043591 4525464352 4779533128 4933711616 5210700224 5473336324 5780620561 5967092192 8768087182 9050928704 9559066256 10040874031 10421400448 10946672648 11561241122 11934184384 17536174364 18101857408 19118132512 20081748062 20842800896 21893345296 23122482244 23868368768 35072348728 36203714816 38236265024 40163496124 42418356511 43786690592 46244964488 47736737536 70144697456 76472530048 80326992248 84836713022 87573381184 92489928976 97151719751 140289394912 152945060096 160653984496 169673426044 175146762368 184979857952 194303439502 280578789824 311267094961 321307968992 339346852088 350293524736 369959715904 388606879004 561157579648 622534189922 642615937984 678693704176 712902056201 739919431808 777213758008 1122315159296 1245068379844 1285231875968 1357387408352 1425804112402 1479838863616 1554427516016 2490136759688 2570463751936 2714774816704 2851608224804 3011703312281 3108855032032 4980273519376 5429549633408 5703216449608 6023406624562 6217710064064 9960547038752 10859099266816 11406432899216 12046813249124 12435420128128 19921094077504 22099963742231 22812865798432 24093626498248 24870840256256 39842188155008 44199927484462 45625731596864 48187252996496 50616045990271 79684376310016 88399854968924 91251463193728 96374505992992 101232091980542 176799709937848 182502926387456 192749011985984 202464183961084 353599419875696 385498023971968 404928367922168 707198839751392 770996047943936 809856735844336 1414397679502784 1569097425698401 1619713471688672 2828795359005568 3138194851396802 3239426943377344 5657590718011136 6276389702793604 6478853886754688 12552779405587208 12957707773509376 25105558811174416 50211117622348832 100422235244697664 200844470489395328 401688940978790656
• Sum of all divisors σ(n): 841111877519972352
• Sum of proper divisors (its aliquot sum) s(n): 439422936541181696
• 401688940978790656 is an abundant number, because the sum of its proper divisors (439422936541181696) is greater than itself. Its abundance is 37733995562391040

Bases of 401688940978790656

• Binary: 10110010011000101011111011010101101001111100110000100000000₂
• Hexadecimal: 0x59315F6AD3E6100
• Base-36: 31V6UFZ1NQ4G

Squares and roots of 401688940978790656

• 401688940978790656 squared (401688940978790656²) is 161354005304662363139120428272910336
• 401688940978790656 cubed (401688940978790656³) is 64814119513515994407626311640741286835126694802620416
• The square root of 401688940978790656 is 633789350.6353594893
• The cube root of 401688940978790656 is 737841.8622170387

Scales and comparisons

• 401,688,940,978,790,656 seconds is equal to 12,772,465,817 years, 33 weeks, 5 days, 21 hours, 24 minutes, 16 seconds.
• To count from 1 to 401,688,940,978,790,656 would take you about thirty-eight billion, three hundred seventeen million, three hundred ninety-seven thousand, four hundred fifty-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 401688940978790656 cubic inches would be around 61486.8 feet tall.

Recreational maths with 401688940978790656

• 401688940978790656 backwards is 656097879049886104
• The number of decimal digits it has is: 18
• The sum of 401688940978790656's digits is 97
• More coming soon!