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131404034400 = 253522910917321
BaseRepresentation
bin111101001100001001…
…0100111000101100000
3110120011202212120201220
41322120102213011200
54123103413100100
6140211032255040
712331212602052
oct1723022470540
9416152776656
10131404034400
1150801173a41
1221572b41480
13c511a36712
146507b4b8d2
153641253aa0
hex1e984a7160

131404034400 has 288 divisors, whose sum is σ = 446554231200. Its totient is φ = 33520435200.

The previous prime is 131404034347. The next prime is 131404034441. The reversal of 131404034400 is 4430404131.

Adding to 131404034400 its reverse (4430404131), we get a palindrome (135834438531).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7577740 + ... + 7595060.

It is an arithmetic number, because the mean of its divisors is an integer number (1550535525).

Almost surely, 2131404034400 is an apocalyptic number.

131404034400 is a gapful number since it is divisible by the number (10) 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 131404034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223277115600).

131404034400 is an abundant number, since it is smaller than the sum of its proper divisors (315150196800).

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

131404034400 is a wasteful number, since it uses less digits than its factorization.

131404034400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17482 (or 17469 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The spelling of 131404034400 in words is "one hundred thirty-one billion, four hundred four million, thirty-four thousand, four hundred".