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142001268588 = 223337971093361
BaseRepresentation
bin1000010000111111101…
…1110110011101101100
3111120112022102212011000
42010033323312131230
54311304311043323
6145122352000300
713154631603414
oct2041773663554
9446468385130
10142001268588
115524a017923
122362bb30090
13105103918aa
146c31337644
153a61784e43
hex210fef676c

142001268588 has 192 divisors, whose sum is σ = 385618710400. Its totient is φ = 45148078080.

The previous prime is 142001268571. The next prime is 142001268593. The reversal of 142001268588 is 885862100241.

142001268588 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 0 + 1 + 2 + 68 + 588 = 666.

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, 42248028 + ... + 42251388.

Almost surely, 2142001268588 is an apocalyptic number.

142001268588 is a gapful number since it is divisible by the number (18) 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 142001268588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192809355200).

142001268588 is an abundant number, since it is smaller than the sum of its proper divisors (243617441812).

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

142001268588 is a wasteful number, since it uses less digits than its factorization.

142001268588 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3617 (or 3609 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 142001268588 in words is "one hundred forty-two billion, one million, two hundred sixty-eight thousand, five hundred eighty-eight".