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10400041521 = 331143733679
BaseRepresentation
bin10011010111110010…
…00000101000110001
3222211210111211221000
421223321000220301
5132244402312041
64435552552213
7515502615522
oct115371005061
928753454830
1010400041521
114457609141
122022b52669
13c9984492c
14709338849
1540d07dbb6
hex26be40a31

10400041521 has 16 divisors (see below), whose sum is σ = 15409273600. Its totient is φ = 6932548944.

The previous prime is 10400041517. The next prime is 10400041529. The reversal of 10400041521 is 12514000401.

10400041521 is a `hidden beast` number, since 104 + 0 + 0 + 0 + 41 + 521 = 666.

It is not a de Polignac number, because 10400041521 - 22 = 10400041517 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10400041494 and 10400041503.

It is not an unprimeable number, because it can be changed into a prime (10400041529) 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, 291960 + ... + 325638.

It is an arithmetic number, because the mean of its divisors is an integer number (963079600).

Almost surely, 210400041521 is an apocalyptic number.

It is an amenable number.

10400041521 is a deficient number, since it is larger than the sum of its proper divisors (5009232079).

10400041521 is a wasteful number, since it uses less digits than its factorization.

10400041521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45125 (or 45119 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 10400041521 its reverse (12514000401), we get a palindrome (22914041922).

The spelling of 10400041521 in words is "ten billion, four hundred million, forty-one thousand, five hundred twenty-one".

Divisors: 1 3 9 27 11437 33679 34311 101037 102933 303111 308799 909333 385186723 1155560169 3466680507 10400041521