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142714091520 = 211325721113217
BaseRepresentation
bin1000010011101001101…
…1000011100000000000
3111122100222202000101100
42010322123003200000
54314234301412040
6145321214134400
713211405522400
oct2047233034000
9448328660340
10142714091520
1155585425290
12237aa7b1400
13105c4c70700
146c9bc8c800
153aa413bb30
hex213a6c3800

142714091520 has 2592 divisors, whose sum is σ = 719661393360. Its totient is φ = 25763512320.

The previous prime is 142714091497. The next prime is 142714091543. The reversal of 142714091520 is 25190417241.

142714091520 is a `hidden beast` number, since 1 + 4 + 2 + 7 + 1 + 40 + 91 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (142714091497) and next prime (142714091543).

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 215 ways as a sum of consecutive naturals, for example, 8394946552 + ... + 8394946568.

Almost surely, 2142714091520 is an apocalyptic number.

142714091520 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 142714091520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359830696680).

142714091520 is an abundant number, since it is smaller than the sum of its proper divisors (576947301840).

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

142714091520 is a wasteful number, since it uses less digits than its factorization.

142714091520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 142714091520 in words is "one hundred forty-two billion, seven hundred fourteen million, ninety-one thousand, five hundred twenty".