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142917390720 = 27325133076217
BaseRepresentation
bin1000010100011010001…
…0100101000110000000
3111122220011021200110100
42011012202211012000
54320143323000340
6145353315402400
713216424530416
oct2050642450600
9448804250410
10142917390720
115567a160a55
12238468b3400
13106281115b0
146cbac8d2b6
153ab6de8830
hex21468a5180

142917390720 has 384 divisors, whose sum is σ = 533290998240. Its totient is φ = 35059433472.

The previous prime is 142917390691. The next prime is 142917390761. The reversal of 142917390720 is 27093719241.

142917390720 is a `hidden beast` number, since 1 + 429 + 1 + 73 + 90 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22985052 + ... + 22991268.

Almost surely, 2142917390720 is an apocalyptic number.

142917390720 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 142917390720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266645499120).

142917390720 is an abundant number, since it is smaller than the sum of its proper divisors (390373607520).

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

142917390720 is a wasteful number, since it uses less digits than its factorization.

142917390720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6562 (or 6547 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 142917390720 in words is "one hundred forty-two billion, nine hundred seventeen million, three hundred ninety thousand, seven hundred twenty".