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142122472128000 = 2933537131947569
BaseRepresentation
bin100000010100001001110111…
…011101110011111000000000
3200122012202221110000010011000
4200110021313131303320000
5122112013310331044000
61222134055022452000
741636003230511610
oct4024116735637000
9618182843003130
10142122472128000
1141314890433541
1213b34354434000
13613c126380060
142714a9b55aa40
151166de94e2000
hex814277773e00

142122472128000 has 2560 divisors, whose sum is σ = 680207463936000. Its totient is φ = 28407457382400.

The previous prime is 142122472127963. The next prime is 142122472128067. The reversal of 142122472128000 is 821274221241.

142122472128000 is a `hidden beast` number, since 1 + 42 + 1 + 22 + 472 + 128 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

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 polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2987688216 + ... + 2987735784.

It is an arithmetic number, because the mean of its divisors is an integer number (265706040600).

Almost surely, 2142122472128000 is an apocalyptic number.

142122472128000 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 142122472128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340103731968000).

142122472128000 is an abundant number, since it is smaller than the sum of its proper divisors (538084991808000).

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

142122472128000 is a wasteful number, since it uses less digits than its factorization.

142122472128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47650 (or 47618 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 142122472128000 in words is "one hundred forty-two trillion, one hundred twenty-two billion, four hundred seventy-two million, one hundred twenty-eight thousand".