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31542153344 = 271342534457
BaseRepresentation
bin11101011000000011…
…110001000010000000
310000102020010102001122
4131120003301002000
51004044242401334
622253521451412
72164433610512
oct353003610200
9100366112048
1031542153344
11124167a5729
1261434a0b68
132c88a26080
1417531a1bb2
15c491ed32e
hex7580f1080

31542153344 has 64 divisors (see below), whose sum is σ = 67702665240. Its totient is φ = 14551228416.

The previous prime is 31542153323. The next prime is 31542153359. The reversal of 31542153344 is 44335124513.

It can be written as a sum of positive squares in 4 ways, for example, as 18039713344 + 13502440000 = 134312^2 + 116200^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7074764 + ... + 7079220.

Almost surely, 231542153344 is an apocalyptic number.

It is an amenable number.

31542153344 is an abundant number, since it is smaller than the sum of its proper divisors (36160511896).

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

31542153344 is a wasteful number, since it uses less digits than its factorization.

31542153344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8737 (or 8725 counting only the distinct ones).

The product of its digits is 86400, while the sum is 35.

Adding to 31542153344 its reverse (44335124513), we get a palindrome (75877277857).

The spelling of 31542153344 in words is "thirty-one billion, five hundred forty-two million, one hundred fifty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 4253 4457 8506 8914 17012 17828 34024 35656 55289 57941 68048 71312 110578 115882 136096 142624 221156 231764 272192 285248 442312 463528 544384 570496 884624 927056 1769248 1854112 3538496 3708224 7076992 7416448 18955621 37911242 75822484 151644968 246423073 303289936 492846146 606579872 985692292 1213159744 1971384584 2426319488 3942769168 7885538336 15771076672 31542153344