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142606794456 = 233372173137691
BaseRepresentation
bin1000010011010000000…
…1101111111011011000
3111122002111211202111000
42010310001233323120
54314024314410311
6145302422305000
713205633516100
oct2046401577330
9448074752430
10142606794456
115552a8aa425
122377a888160
13105a8973719
146c8b91c200
153a999e5056
hex213406fed8

142606794456 has 768 divisors, whose sum is σ = 518010163200. Its totient is φ = 36055756800.

The previous prime is 142606794433. The next prime is 142606794481. The reversal of 142606794456 is 654497606241.

142606794456 is a `hidden beast` number, since 1 + 42 + 6 + 0 + 67 + 94 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 206377071 + ... + 206377761.

It is an arithmetic number, because the mean of its divisors is an integer number (674492400).

Almost surely, 2142606794456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142606794456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259005081600).

142606794456 is an abundant number, since it is smaller than the sum of its proper divisors (375403368744).

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

142606794456 is a wasteful number, since it uses less digits than its factorization.

142606794456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 142606794456 in words is "one hundred forty-two billion, six hundred six million, seven hundred ninety-four thousand, four hundred fifty-six".