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400359375414 = 232131916862917
BaseRepresentation
bin1011101001101110100…
…01110100001000110110
31102021101201210112101100
411310313101310020312
523024414000003124
6503531134510530
740632164353515
oct5646721641066
91367351715340
10400359375414
11144878480479
1265713665446
132b9a4c27a0b
141553dbd067c
15a6332351c9
hex5d37474236

400359375414 has 24 divisors (see below), whose sum is σ = 868103018640. Its totient is φ = 133351939728.

The previous prime is 400359375397. The next prime is 400359375443. The reversal of 400359375414 is 414573953004.

400359375414 is a `hidden beast` number, since 4 + 0 + 0 + 3 + 593 + 7 + 54 + 1 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 400359375414.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8407717 + ... + 8455200.

It is an arithmetic number, because the mean of its divisors is an integer number (36170959110).

Almost surely, 2400359375414 is an apocalyptic number.

400359375414 is an abundant number, since it is smaller than the sum of its proper divisors (467743643226).

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

400359375414 is a wasteful number, since it uses less digits than its factorization.

400359375414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16864244 (or 16864241 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 400359375414 in words is "four hundred billion, three hundred fifty-nine million, three hundred seventy-five thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 1319 2638 3957 7914 11871 23742 16862917 33725834 50588751 101177502 151766253 303532506 22242187523 44484375046 66726562569 133453125138 200179687707 400359375414