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142459595856 = 243323173179463
BaseRepresentation
bin1000010010101101000…
…0001110110001010000
3111121201020212021222000
42010223100032301100
54313224124031411
6145240043314000
713202165404464
oct2045320166120
9447636767860
10142459595856
1155464800996
122373951b900
1310584315966
146c761624a4
153a8bb1a956
hex212b40ec50

142459595856 has 320 divisors, whose sum is σ = 432486604800. Its totient is φ = 44810067456.

The previous prime is 142459595801. The next prime is 142459595891. The reversal of 142459595856 is 658595954241.

142459595856 is a `hidden beast` number, since 1 + 4 + 2 + 45 + 9 + 5 + 9 + 585 + 6 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 142459595793 and 142459595802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 307687881 + ... + 307688343.

It is an arithmetic number, because the mean of its divisors is an integer number (1351520640).

Almost surely, 2142459595856 is an apocalyptic number.

142459595856 is a gapful number since it is divisible by the number (16) 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 142459595856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216243302400).

142459595856 is an abundant number, since it is smaller than the sum of its proper divisors (290027008944).

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

142459595856 is a wasteful number, since it uses less digits than its factorization.

142459595856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 843 counting only the distinct ones).

The product of its digits is 77760000, while the sum is 63.

The spelling of 142459595856 in words is "one hundred forty-two billion, four hundred fifty-nine million, five hundred ninety-five thousand, eight hundred fifty-six".