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141189954232320 = 2133757225163
BaseRepresentation
bin100000000110100101011001…
…000100010110000000000000
3200111220121221200001210000000
4200012211121010112000000
5122001224011240413240
61220141434120000000
741511431454260520
oct4006453104260000
9614817850053000
10141189954232320
1140a953613933a4
1213a03686000000
1360a22039a5076
1426c18b757b680
15114ca1c2c8430
hex806959116000

141189954232320 has 896 divisors, whose sum is σ = 580774403681280. Its totient is φ = 32271846211584.

The previous prime is 141189954232319. The next prime is 141189954232337. The reversal of 141189954232320 is 23232459981141.

141189954232320 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 8 + 99 + 542 + 3 + 2 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×1411899542323202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 626944059 + ... + 627169221.

Almost surely, 2141189954232320 is an apocalyptic number.

141189954232320 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 141189954232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290387201840640).

141189954232320 is an abundant number, since it is smaller than the sum of its proper divisors (439584449448960).

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

141189954232320 is an frugal number, since it uses more digits than its factorization.

141189954232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225222 (or 225180 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 141189954232320 in words is "one hundred forty-one trillion, one hundred eighty-nine billion, nine hundred fifty-four million, two hundred thirty-two thousand, three hundred twenty".