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400131004401 = 3244459000489
BaseRepresentation
bin1011101001010011010…
…10101001011111110001
31102020210211002002020200
411310221222221133301
523023432014120101
6503452340025413
740623422264022
oct5645152513761
91366724062220
10400131004401
1114477057a9a7
126566b092269
132b96981903b
141551b744c49
15a61d174986
hex5d29aa97f1

400131004401 has 6 divisors (see below), whose sum is σ = 577967006370. Its totient is φ = 266754002928.

The previous prime is 400131004387. The next prime is 400131004411. The reversal of 400131004401 is 104400131004.

It can be written as a sum of positive squares in only one way, i.e., 274655653776 + 125475350625 = 524076^2 + 354225^2 .

It is not a de Polignac number, because 400131004401 - 26 = 400131004337 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (400131004411) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22229500236 + ... + 22229500253.

It is an arithmetic number, because the mean of its divisors is an integer number (96327834395).

Almost surely, 2400131004401 is an apocalyptic number.

It is an amenable number.

400131004401 is a deficient number, since it is larger than the sum of its proper divisors (177836001969).

400131004401 is a wasteful number, since it uses less digits than its factorization.

400131004401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44459000495 (or 44459000492 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 400131004401 its reverse (104400131004), we get a palindrome (504531135405).

The spelling of 400131004401 in words is "four hundred billion, one hundred thirty-one million, four thousand, four hundred one".

Divisors: 1 3 9 44459000489 133377001467 400131004401