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40256810881 = 72286632
BaseRepresentation
bin100101011111011111…
…100010111110000001
310211220120021212210121
4211133133202332001
51124421220422011
630254351100241
72623413150400
oct453737427601
9124816255717
1040256810881
1116088a13941
127975b11681
133a4733b071
141d3c73b637
1510a9313e71
hex95f7e2f81

40256810881 has 9 divisors (see below), whose sum is σ = 46830985281. Its totient is φ = 34504634052.

The previous prime is 40256810873. The next prime is 40256810939. The reversal of 40256810881 is 18801865204.

The square root of 40256810881 is 200641.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 40256810881 - 23 = 40256810873 is a prime.

It is a super-2 number, since 2×402568108812 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40256816881) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1390156 + ... + 1418818.

It is an arithmetic number, because the mean of its divisors is an integer number (5203442809).

Almost surely, 240256810881 is an apocalyptic number.

40256810881 is the 200641-st square number.

40256810881 is the 100321-st centered octagonal number.

It is an amenable number.

40256810881 is a deficient number, since it is larger than the sum of its proper divisors (6574174400).

40256810881 is an frugal number, since it uses more digits than its factorization.

40256810881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57340 (or 28670 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 43.

It can be divided in two parts, 402568 and 10881, that added together give a square (413449 = 6432).

The spelling of 40256810881 in words is "forty billion, two hundred fifty-six million, eight hundred ten thousand, eight hundred eighty-one".

Divisors: 1 7 49 28663 200641 1404487 821567569 5750972983 40256810881