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400014641 = 131710117921
BaseRepresentation
bin10111110101111…
…011110100110001
31000212200211221002
4113311323310301
51304400432031
6103405411345
712625032305
oct2765736461
91025624832
10400014641
11195885a14
12b1b69b55
1364b48170
143b1a9d05
15251b7ccb
hex17d7bd31

400014641 has 16 divisors (see below), whose sum is σ = 460667088. Its totient is φ = 344064000.

The previous prime is 400014613. The next prime is 400014647. The reversal of 400014641 is 146410004.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3168400 + 396846241 = 1780^2 + 19921^2 .

It is a cyclic number.

It is not a de Polignac number, because 400014641 - 26 = 400014577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (400014647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13361 + ... + 31281.

It is an arithmetic number, because the mean of its divisors is an integer number (28791693).

Almost surely, 2400014641 is an apocalyptic number.

It is an amenable number.

400014641 is a deficient number, since it is larger than the sum of its proper divisors (60652447).

400014641 is a wasteful number, since it uses less digits than its factorization.

400014641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18052.

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 400014641 is about 20000.3660216507. The cubic root of 400014641 is about 736.8152892693.

Adding to 400014641 its reverse (146410004), we get a palindrome (546424645).

The spelling of 400014641 in words is "four hundred million, fourteen thousand, six hundred forty-one".

Divisors: 1 13 17 101 221 1313 1717 17921 22321 232973 304657 1810021 3960541 23530273 30770357 400014641