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141114896640 = 2832531395147
BaseRepresentation
bin1000001101101100011…
…0100111000100000000
3111111020112120111102100
42003123012213010000
54303000403143030
6144454405550400
713123646554554
oct2033306470400
9444215514370
10141114896640
1154934753523
1223423115400
13103cb85a253
146b89727864
153a0da4b360
hex20db1a7100

141114896640 has 216 divisors, whose sum is σ = 503993887488. Its totient is φ = 36416655360.

The previous prime is 141114896639. The next prime is 141114896711. The reversal of 141114896640 is 46698411141.

141114896640 is a `hidden beast` number, since 1 + 411 + 148 + 96 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159547 + ... + 554693.

Almost surely, 2141114896640 is an apocalyptic number.

141114896640 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 141114896640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251996943744).

141114896640 is an abundant number, since it is smaller than the sum of its proper divisors (362878990848).

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

141114896640 is a wasteful number, since it uses less digits than its factorization.

141114896640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395205 (or 395188 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 141114896640 in words is "one hundred forty-one billion, one hundred fourteen million, eight hundred ninety-six thousand, six hundred forty".