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141238669680 = 24345172531423
BaseRepresentation
bin1000001110001001111…
…0110001000101110000
3111111120011110211010000
42003202132301011300
54303224044412210
6144514550510000
713130011612113
oct2034236610560
9444504424100
10141238669680
1154998601a99
1223458665300
131041b3a5634
146b9bd4657a
153a19849ac0
hex20e27b1170

141238669680 has 600 divisors, whose sum is σ = 531300762432. Its totient is φ = 34754863104.

The previous prime is 141238669661. The next prime is 141238669709. The reversal of 141238669680 is 86966832141.

141238669680 is a `hidden beast` number, since 1 + 412 + 3 + 8 + 66 + 96 + 80 = 666.

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 99253449 + ... + 99254871.

Almost surely, 2141238669680 is an apocalyptic number.

141238669680 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 141238669680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265650381216).

141238669680 is an abundant number, since it is smaller than the sum of its proper divisors (390062092752).

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

141238669680 is a wasteful number, since it uses less digits than its factorization.

141238669680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1535 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 141238669680 in words is "one hundred forty-one billion, two hundred thirty-eight million, six hundred sixty-nine thousand, six hundred eighty".