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142157688960 = 2735747313719
BaseRepresentation
bin1000010001100101000…
…0100011000010000000
3111120221012202211120010
42010121100203002000
54312114332021320
6145150100344520
713161541263450
oct2043120430200
9446835684503
10142157688960
115531a344861
12236743a5140
13105368cac21
146c48013d60
153a70381ae0
hex2119423080

142157688960 has 512 divisors, whose sum is σ = 531306086400. Its totient is φ = 31656148992.

The previous prime is 142157688853. The next prime is 142157688961. The reversal of 142157688960 is 69886751241.

It is a self number, because there is not a number n which added to its sum of digits gives 142157688960.

It is not an unprimeable number, because it can be changed into a prime (142157688961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 197715481 + ... + 197716199.

It is an arithmetic number, because the mean of its divisors is an integer number (1037707200).

Almost surely, 2142157688960 is an apocalyptic number.

142157688960 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 142157688960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265653043200).

142157688960 is an abundant number, since it is smaller than the sum of its proper divisors (389148397440).

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

142157688960 is a wasteful number, since it uses less digits than its factorization.

142157688960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 57.

The spelling of 142157688960 in words is "one hundred forty-two billion, one hundred fifty-seven million, six hundred eighty-eight thousand, nine hundred sixty".