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141265342400 = 265271335741
BaseRepresentation
bin1000001110010000010…
…0100000111111000000
3111111122000122221012112
42003210010200333000
54303302411424100
6144521342314452
713130454412130
oct2034404407700
9444560587175
10141265342400
1154a0166a666
1223465588a28
1310423a84000
146ba16caac0
153a1bd67b35
hex20e4120fc0

141265342400 has 336 divisors, whose sum is σ = 430423076160. Its totient is φ = 44700364800.

The previous prime is 141265342397. The next prime is 141265342451. The reversal of 141265342400 is 4243562141.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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, 24603530 + ... + 24609270.

It is an arithmetic number, because the mean of its divisors is an integer number (1281021060).

Almost surely, 2141265342400 is an apocalyptic number.

141265342400 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 141265342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215211538080).

141265342400 is an abundant number, since it is smaller than the sum of its proper divisors (289157733760).

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

141265342400 is an equidigital number, since it uses as much as digits as its factorization.

141265342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5809 (or 5768 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The spelling of 141265342400 in words is "one hundred forty-one billion, two hundred sixty-five million, three hundred forty-two thousand, four hundred".