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142723492800 = 26352741313331
BaseRepresentation
bin1000010011101011111…
…0111010101111000000
3111122101122102122111220
42010322332322233000
54314244203232200
6145322151435040
713211551446360
oct2047276725700
9448348378456
10142723492800
115558a766639
12237b1985a80
13105c6bb28b5
146c9d2189a0
153aa4d974a0
hex213afbabc0

142723492800 has 672 divisors, whose sum is σ = 551610361344. Its totient is φ = 31629312000.

The previous prime is 142723492799. The next prime is 142723492889. The reversal of 142723492800 is 8294327241.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 431188635 + ... + 431188965.

It is an arithmetic number, because the mean of its divisors is an integer number (820848752).

Almost surely, 2142723492800 is an apocalyptic number.

142723492800 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 142723492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275805180672).

142723492800 is an abundant number, since it is smaller than the sum of its proper divisors (408886868544).

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

142723492800 is a wasteful number, since it uses less digits than its factorization.

142723492800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 142723492800 in words is "one hundred forty-two billion, seven hundred twenty-three million, four hundred ninety-two thousand, eight hundred".