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399141359568 = 2432721731107339
BaseRepresentation
bin1011100111011101010…
…11011100111111010000
31102011020211212220202100
411303232223130333100
523014420142001233
6503210224320400
740560044402100
oct5635653347720
91364224786670
10399141359568
1114430298a106
1265433773100
132b83c796293
1415466131200
15a5b133b813
hex5ceeadcfd0

399141359568 has 360 divisors, whose sum is σ = 1420247312640. Its totient is φ = 103868835840.

The previous prime is 399141359503. The next prime is 399141359587. The reversal of 399141359568 is 865953141993.

399141359568 is a `hidden beast` number, since 3 + 9 + 9 + 1 + 4 + 13 + 59 + 568 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3664843 + ... + 3772181.

It is an arithmetic number, because the mean of its divisors is an integer number (3945131424).

Almost surely, 2399141359568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 399141359568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710123656320).

399141359568 is an abundant number, since it is smaller than the sum of its proper divisors (1021105953072).

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

399141359568 is a wasteful number, since it uses less digits than its factorization.

399141359568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107415 (or 107399 counting only the distinct ones).

The product of its digits is 31492800, while the sum is 63.

The spelling of 399141359568 in words is "three hundred ninety-nine billion, one hundred forty-one million, three hundred fifty-nine thousand, five hundred sixty-eight".