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142860821953600 = 2652131222812
BaseRepresentation
bin100000011110111001100000…
…100010110111110001000000
3200201211100202022110111200001
4200132321200202313301000
5122211112430410003400
61223501204450005344
742043232226464062
oct4036714042676100
9621740668414601
10142860821953600
1141579a30689783
1214033474276854
136193943a49b9a
14273c701bd7732
15117b210270a6a
hex81ee608b7c40

142860821953600 has 189 divisors, whose sum is σ = 354386169962463. Its totient is φ = 56683251456000.

The previous prime is 142860821953589. The next prime is 142860821953621. The reversal of 142860821953600 is 6359128068241.

The square root of 142860821953600 is 11952440.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 225381865536 + 142635440088064 = 474744^2 + 11943008^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 62630784460 + ... + 62630786740.

Almost surely, 2142860821953600 is an apocalyptic number.

142860821953600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

142860821953600 is the 11952440-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142860821953600

142860821953600 is an abundant number, since it is smaller than the sum of its proper divisors (211525348008863).

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

142860821953600 is an frugal number, since it uses more digits than its factorization.

142860821953600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4846 (or 2419 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 55.

The spelling of 142860821953600 in words is "one hundred forty-two trillion, eight hundred sixty billion, eight hundred twenty-one million, nine hundred fifty-three thousand, six hundred".