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400383675000 = 2333551931219
BaseRepresentation
bin1011101001110001011…
…10100000101001111000
31102021110102112002011000
411310320232200221320
523024441210100000
6503533403405000
740632611041011
oct5647056405170
91367412462130
10400383675000
11144890168081
126571b823760
132b9a9c8517a
1415543118008
15a635435000
hex5d38ba0a78

400383675000 has 384 divisors, whose sum is σ = 1463343840000. Its totient is φ = 101146320000.

The previous prime is 400383674969. The next prime is 400383675007. The reversal of 400383675000 is 576383004.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400383675007) 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 95 ways as a sum of consecutive naturals, for example, 12809391 + ... + 12840609.

It is an arithmetic number, because the mean of its divisors is an integer number (3810791250).

Almost surely, 2400383675000 is an apocalyptic number.

400383675000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400383675000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731671920000).

400383675000 is an abundant number, since it is smaller than the sum of its proper divisors (1062960165000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

400383675000 is a wasteful number, since it uses less digits than its factorization.

400383675000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31278 (or 31248 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 400383675000 in words is "four hundred billion, three hundred eighty-three million, six hundred seventy-five thousand".