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231969134400 = 26352175475197
BaseRepresentation
bin1101100000001001110…
…0000001011101000000
3211011202022211222110020
43120002130001131000
512300033044300100
6254322023333440
722521261052323
oct3300234013500
9734668758406
10231969134400
118a417590033
1238b59bb1280
1318b4a642653
14b327c6c7ba
156079db55a0
hex3602701740

231969134400 has 336 divisors, whose sum is σ = 807448337856. Its totient is φ = 58102087680.

The previous prime is 231969134377. The next prime is 231969134407. The reversal of 231969134400 is 4431969132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231969134407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44632602 + ... + 44637798.

Almost surely, 2231969134400 is an apocalyptic number.

231969134400 is a gapful number since it is divisible by the number (20) 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 231969134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403724168928).

231969134400 is an abundant number, since it is smaller than the sum of its proper divisors (575479203456).

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

231969134400 is a wasteful number, since it uses less digits than its factorization.

231969134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5786 (or 5771 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The spelling of 231969134400 in words is "two hundred thirty-one billion, nine hundred sixty-nine million, one hundred thirty-four thousand, four hundred".