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141253732620 = 223257114131931
BaseRepresentation
bin1000001110001101100…
…0001110100100001100
3111111121012211002120200
42003203120032210030
54303241423420440
6144520245413500
713130253626310
oct2034330164414
9444535732520
10141253732620
11549a6060000
122346170a290
131042154a810
146b9dd47b40
153a1ad22c30
hex20e360e90c

141253732620 has 1440 divisors, whose sum is σ = 630305894400. Its totient is φ = 24839654400.

The previous prime is 141253732603. The next prime is 141253732657. The reversal of 141253732620 is 26237352141.

141253732620 is a `hidden beast` number, since 1 + 4 + 1 + 25 + 3 + 7 + 3 + 2 + 620 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 4556572005 + ... + 4556572035.

Almost surely, 2141253732620 is an apocalyptic number.

141253732620 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 141253732620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315152947200).

141253732620 is an abundant number, since it is smaller than the sum of its proper divisors (489052161780).

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

141253732620 is a wasteful number, since it uses less digits than its factorization.

141253732620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 141253732620 in words is "one hundred forty-one billion, two hundred fifty-three million, seven hundred thirty-two thousand, six hundred twenty".