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141351356160 = 2832575333073
BaseRepresentation
bin1000001110100100110…
…0101000011100000000
3111111212000111212220100
42003221030220130000
54303441421344120
6144534054042400
713132550463120
oct2035114503400
9444760455810
10141351356160
1154a46179013
122348a349400
131043883b721
146baccbac80
153a246a8490
hex20e9328700

141351356160 has 432 divisors, whose sum is σ = 569489828544. Its totient is φ = 31698321408.

The previous prime is 141351356143. The next prime is 141351356219. The reversal of 141351356160 is 61653153141.

141351356160 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 5 + 1 + 35 + 616 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 4257384 + ... + 4290456.

It is an arithmetic number, because the mean of its divisors is an integer number (1318263492).

Almost surely, 2141351356160 is an apocalyptic number.

141351356160 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 141351356160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284744914272).

141351356160 is an abundant number, since it is smaller than the sum of its proper divisors (428138472384).

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

141351356160 is a wasteful number, since it uses less digits than its factorization.

141351356160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33160 (or 33143 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 141351356160 in words is "one hundred forty-one billion, three hundred fifty-one million, three hundred fifty-six thousand, one hundred sixty".