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31442718401 = 2926934911549
BaseRepresentation
bin11101010010001000…
…011100111011000001
310000011022000120221222
4131102020130323001
51003343313442101
622240010324425
72162115460643
oct352210347301
9100138016858
1031442718401
111237565a796
126116129715
132c7124c823
141743cba893
15c4060b01b
hex75221cec1

31442718401 has 16 divisors (see below), whose sum is σ = 32744250000. Its totient is φ = 30156354816.

The previous prime is 31442718397. The next prime is 31442718403. The reversal of 31442718401 is 10481724413.

It can be written as a sum of positive squares in 8 ways, for example, as 904806400 + 30537912001 = 30080^2 + 174751^2 .

It is not a de Polignac number, because 31442718401 - 22 = 31442718397 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31442718403) 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, 2716775 + ... + 2728323.

It is an arithmetic number, because the mean of its divisors is an integer number (2046515625).

Almost surely, 231442718401 is an apocalyptic number.

It is an amenable number.

31442718401 is a deficient number, since it is larger than the sum of its proper divisors (1301531599).

31442718401 is a wasteful number, since it uses less digits than its factorization.

31442718401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12196.

The product of its (nonzero) digits is 21504, while the sum is 35.

The spelling of 31442718401 in words is "thirty-one billion, four hundred forty-two million, seven hundred eighteen thousand, four hundred one".

Divisors: 1 29 269 349 7801 10121 11549 93881 334921 2722549 3106681 4030601 90093749 116887429 1084231669 31442718401