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400312142216 = 23746792916477
BaseRepresentation
bin1011101001101000111…
…01101000100110001000
31102021021102220211121122
411310310131220212020
523024314402022331
6503522330254412
740631052031430
oct5646435504610
91367242824548
10400312142216
1114485384a478
12656bb887408
132b9981caa8c
14155378172c0
15a62e00517b
hex5d34768988

400312142216 has 64 divisors (see below), whose sum is σ = 860626166400. Its totient is φ = 171000317952.

The previous prime is 400312142213. The next prime is 400312142311. The reversal of 400312142216 is 612241213004.

It is a super-2 number, since 2×4003121422162 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (400312142213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24286970 + ... + 24303446.

It is an arithmetic number, because the mean of its divisors is an integer number (13447283850).

Almost surely, 2400312142216 is an apocalyptic number.

It is an amenable number.

400312142216 is an abundant number, since it is smaller than the sum of its proper divisors (460314024184).

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

400312142216 is a wasteful number, since it uses less digits than its factorization.

400312142216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17886 (or 17882 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The spelling of 400312142216 in words is "four hundred billion, three hundred twelve million, one hundred forty-two thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 28 56 467 929 934 1858 1868 3269 3716 3736 6503 6538 7432 13006 13076 16477 26012 26152 32954 52024 65908 115339 131816 230678 433843 461356 867686 922712 1735372 3036901 3470744 6073802 7694759 12147604 15307133 15389518 24295208 30614266 30779036 53863313 61228532 61558072 107149931 107726626 122457064 214299862 215453252 428599724 430906504 857199448 7148431111 14296862222 28593724444 50039017777 57187448888 100078035554 200156071108 400312142216