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401315814108 = 2232114125499697
BaseRepresentation
bin1011101011100000100…
…10010101101011011100
31102100212101111122121200
411311300102111223130
523033343322022413
6504210102355500
740664660064516
oct5656022255334
91370771448550
10401315814108
11145219350a80
126593ba2bb90
132bac8122381
14155d0c3cbb6
15a68c1ae573
hex5d70495adc

401315814108 has 144 divisors (see below), whose sum is σ = 1134212133600. Its totient is φ = 118585958400.

The previous prime is 401315814103. The next prime is 401315814161. The reversal of 401315814108 is 801418513104.

401315814108 is a `hidden beast` number, since 4 + 0 + 1 + 31 + 581 + 41 + 0 + 8 = 666.

It is a super-2 number, since 2×4013158141082 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401315814103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41380716 + ... + 41390412.

It is an arithmetic number, because the mean of its divisors is an integer number (7876473150).

Almost surely, 2401315814108 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401315814108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567106066800).

401315814108 is an abundant number, since it is smaller than the sum of its proper divisors (732896319492).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

401315814108 is a wasteful number, since it uses less digits than its factorization.

401315814108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12308 (or 12303 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 401315814108 in words is "four hundred one billion, three hundred fifteen million, eight hundred fourteen thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 41 44 66 82 99 123 132 164 198 246 369 396 451 492 738 902 1353 1476 1804 2549 2706 4059 5098 5412 7647 8118 9697 10196 15294 16236 19394 22941 28039 29091 30588 38788 45882 56078 58182 84117 87273 91764 104509 106667 112156 116364 168234 174546 209018 213334 252351 313527 320001 336468 349092 397577 418036 426668 504702 627054 640002 795154 940581 960003 1009404 1149599 1192731 1254108 1280004 1590308 1881162 1920006 2299198 2385462 3448797 3578193 3762324 3840012 4373347 4598396 4770924 6897594 7156386 8746694 10346391 13120041 13795188 14312772 17493388 20692782 24717653 26240082 39360123 41385564 49435306 52480164 74152959 78720246 98870612 148305918 157440492 222458877 271894183 296611836 444917754 543788366 815682549 889835508 1013423773 1087576732 1631365098 2026847546 2447047647 3040271319 3262730196 4053695092 4894095294 6080542638 9120813957 9788190588 11147661503 12161085276 18241627914 22295323006 33442984509 36483255828 44590646012 66885969018 100328953527 133771938036 200657907054 401315814108