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142016001768 = 23321972444469
BaseRepresentation
bin1000010001000011010…
…0000011011011101000
3111120120100011101021100
42010100310003123220
54311322044024033
6145124035441400
713155201045324
oct2042064033350
9446510141240
10142016001768
1155257370103
1223634a56260
131051344c954
146c33290984
153a62be5513
hex2110d036e8

142016001768 has 24 divisors (see below), whose sum is σ = 384626671650. Its totient is φ = 47338667232.

The previous prime is 142016001689. The next prime is 142016001781. The reversal of 142016001768 is 867100610241.

It is a happy number.

142016001768 is a `hidden beast` number, since 1 + 42 + 0 + 1 + 600 + 1 + 7 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 140116959684 + 1899042084 = 374322^2 + 43578^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 5 ways as a sum of consecutive naturals, for example, 986222163 + ... + 986222306.

Almost surely, 2142016001768 is an apocalyptic number.

142016001768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

142016001768 is an abundant number, since it is smaller than the sum of its proper divisors (242610669882).

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

142016001768 is a wasteful number, since it uses less digits than its factorization.

142016001768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1972444481 (or 1972444474 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 142016001768 in words is "one hundred forty-two billion, sixteen million, one thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1972444469 3944888938 5917333407 7889777876 11834666814 15779555752 17752000221 23669333628 35504000442 47338667256 71008000884 142016001768