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31142331400 = 2352155711657
BaseRepresentation
bin11101000000001110…
…100100010000001000
32222101100210100110111
4131000032210100020
51002234414101100
622150120124104
72151510310045
oct350016442010
988340710414
1031142331400
1112231041574
126051606634
132c23c4783b
1417160461cc
15c240726ba
hex7403a4408

31142331400 has 24 divisors (see below), whose sum is σ = 72405920970. Its totient is φ = 12456932480.

The previous prime is 31142331379. The next prime is 31142331449. The reversal of 31142331400 is 413324113.

It can be written as a sum of positive squares in 3 ways, for example, as 29412936004 + 1729395396 = 171502^2 + 41586^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 77855629 + ... + 77856028.

Almost surely, 231142331400 is an apocalyptic number.

It is an amenable number.

31142331400 is an abundant number, since it is smaller than the sum of its proper divisors (41263589570).

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

31142331400 is a wasteful number, since it uses less digits than its factorization.

31142331400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155711673 (or 155711664 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 31142331400 its reverse (413324113), we get a palindrome (31555655513).

The spelling of 31142331400 in words is "thirty-one billion, one hundred forty-two million, three hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 155711657 311423314 622846628 778558285 1245693256 1557116570 3114233140 3892791425 6228466280 7785582850 15571165700 31142331400