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142030361088 = 293471179563
BaseRepresentation
bin1000010001000110101…
…0110101001000000000
3111120121100011220120000
42010101222311020000
54311334233023323
6145125311320000
713155434102250
oct2042152651000
9446540156500
10142030361088
1155264488510
1223639820000
13105164097a5
146c3514b960
153a640cee43
hex2111ab5200

142030361088 has 800 divisors, whose sum is σ = 536168540160. Its totient is φ = 36359331840.

The previous prime is 142030361071. The next prime is 142030361113. The reversal of 142030361088 is 880163030241.

142030361088 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 30 + 3 + 610 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 252273895 + ... + 252274457.

Almost surely, 2142030361088 is an apocalyptic number.

142030361088 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 142030361088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268084270080).

142030361088 is an abundant number, since it is smaller than the sum of its proper divisors (394138179072).

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

142030361088 is an equidigital number, since it uses as much as digits as its factorization.

142030361088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 142030361088 in words is "one hundred forty-two billion, thirty million, three hundred sixty-one thousand, eighty-eight".