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131439804678400 = 2852139210312
BaseRepresentation
bin11101111000101100110110…
…110111100000000100000000
3122020101112002222112020212211
4131320230312313200010000
5114212002204444202100
61143314340201031504
736454132614431551
oct3570546667400400
9566345088466784
10131439804678400
1138976343126549
12128a9ab8785594
1358459499348aa
142465a13050328
15102e0b6eac1ba
hex778b36de0100

131439804678400 has 243 divisors, whose sum is σ = 328009571892093. Its totient is φ = 52147049625600.

The previous prime is 131439804678311. The next prime is 131439804678461. The reversal of 131439804678400 is 4876408934131.

It is a happy number.

The square root of 131439804678400 is 11464720.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 47318329684224 + 84121474994176 = 6878832^2 + 9171776^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 127487685885 + ... + 127487686915.

Almost surely, 2131439804678400 is an apocalyptic number.

131439804678400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131439804678400 is the 11464720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131439804678400

131439804678400 is an abundant number, since it is smaller than the sum of its proper divisors (196569767213693).

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

131439804678400 is an frugal number, since it uses more digits than its factorization.

131439804678400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2366 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 58.

The spelling of 131439804678400 in words is "one hundred thirty-one trillion, four hundred thirty-nine billion, eight hundred four million, six hundred seventy-eight thousand, four hundred".