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400148331 = 31121102337
BaseRepresentation
bin10111110110011…
…100011101101011
31000212221122022120
4113312130131223
51304414221311
6103412322323
712626130132
oct2766343553
91025848276
10400148331
11195967400
12b20133a3
1364b93c7b
143b202919
15251e2706
hex17d9c76b

400148331 has 12 divisors (see below), whose sum is σ = 586443816. Its totient is φ = 242513920.

The previous prime is 400148327. The next prime is 400148369. The reversal of 400148331 is 133841004.

It is not a de Polignac number, because 400148331 - 22 = 400148327 is a prime.

It is a super-2 number, since 2×4001483312 = 320237373604171122, which contains 22 as substring.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (400148311) 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 11 ways as a sum of consecutive naturals, for example, 550806 + ... + 551531.

It is an arithmetic number, because the mean of its divisors is an integer number (48870318).

Almost surely, 2400148331 is an apocalyptic number.

400148331 is a deficient number, since it is larger than the sum of its proper divisors (186295485).

400148331 is a wasteful number, since it uses less digits than its factorization.

400148331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102362 (or 1102351 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 400148331 is about 20003.7079312811. The cubic root of 400148331 is about 736.8973644853.

Adding to 400148331 its reverse (133841004), we get a palindrome (533989335).

The spelling of 400148331 in words is "four hundred million, one hundred forty-eight thousand, three hundred thirty-one".

Divisors: 1 3 11 33 121 363 1102337 3307011 12125707 36377121 133382777 400148331