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400381356408 = 233114771944879
BaseRepresentation
bin1011101001110001001…
…01101010100101111000
31102021110021011021122020
411310320211222211320
523024440111401113
6503533241554440
740632552243165
oct5647045524570
91367407137566
10400381356408
11144889924090
126571aaa5a20
132b9a9652a17
1415542ab306c
15a635128023
hex5d3896a978

400381356408 has 128 divisors (see below), whose sum is σ = 1116758016000. Its totient is φ = 118578446720.

The previous prime is 400381356391. The next prime is 400381356409. The reversal of 400381356408 is 804653183004.

It is a self number, because there is not a number n which added to its sum of digits gives 400381356408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400381356409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8898913 + ... + 8943791.

It is an arithmetic number, because the mean of its divisors is an integer number (8724672000).

Almost surely, 2400381356408 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 400381356408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558379008000).

400381356408 is an abundant number, since it is smaller than the sum of its proper divisors (716376659592).

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

400381356408 is a wasteful number, since it uses less digits than its factorization.

400381356408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45665 (or 45661 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 400381356408 in words is "four hundred billion, three hundred eighty-one million, three hundred fifty-six thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 47 66 88 94 132 141 188 264 282 376 517 564 719 1034 1128 1438 1551 2068 2157 2876 3102 4136 4314 5752 6204 7909 8628 12408 15818 17256 23727 31636 33793 44879 47454 63272 67586 89758 94908 101379 134637 135172 179516 189816 202758 269274 270344 359032 371723 405516 493669 538548 743446 811032 987338 1077096 1115169 1481007 1486892 1974676 2109313 2230338 2962014 2973784 3949352 4218626 4460676 5924028 6327939 8437252 8921352 11848056 12655878 16874504 23202443 25311756 32268001 46404886 50623512 64536002 69607329 92809772 96804003 129072004 139214658 185619544 193608006 258144008 278429316 354948011 387216012 556858632 709896022 774432024 1064844033 1419792044 1516596047 2129688066 2839584088 3033192094 4259376132 4549788141 6066384188 8518752264 9099576282 12132768376 16682556517 18199152564 33365113034 36398305128 50047669551 66730226068 100095339102 133460452136 200190678204 400381356408