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142710863400 = 233252725330529
BaseRepresentation
bin1000010011101000111…
…0101111011000101000
3111122100202200000020100
42010322032233120220
54314232440112100
6145321021025400
713211336216100
oct2047216573050
9448322600210
10142710863400
115558361aa16
12237a96b5260
13105c43b0291
146c9b68c200
153aa3c00400
hex213a3af628

142710863400 has 432 divisors, whose sum is σ = 568056750300. Its totient is φ = 32003112960.

The previous prime is 142710863363. The next prime is 142710863413. The reversal of 142710863400 is 4368017241.

142710863400 is a `hidden beast` number, since 1 + 4 + 2 + 7 + 10 + 8 + 634 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 20983840164 + 121727023236 = 144858^2 + 348894^2 .

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 107 ways as a sum of consecutive naturals, for example, 4659336 + ... + 4689864.

Almost surely, 2142710863400 is an apocalyptic number.

142710863400 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 142710863400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284028375150).

142710863400 is an abundant number, since it is smaller than the sum of its proper divisors (425345886900).

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

142710863400 is a wasteful number, since it uses less digits than its factorization.

142710863400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30618 (or 30599 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 142710863400 in words is "one hundred forty-two billion, seven hundred ten million, eight hundred sixty-three thousand, four hundred".