Search a number
-
+
142355351145204 = 223217232606782917
BaseRepresentation
bin100000010111100010110000…
…001000110000101011110100
3200200001001001011221221011100
4200113202300020300223310
5122124322224343121304
61222433051232210100
741661556210503621
oct4027426010605364
9620031034857140
10142355351145204
11413a4624585a2a
1213b71507099930
13615808a3694a2
142722070199348
15116cec91d7439
hex8178b0230af4

142355351145204 has 36 divisors (see below), whose sum is σ = 381009910419684. Its totient is φ = 44660502319872.

The previous prime is 142355351145109. The next prime is 142355351145263. The reversal of 142355351145204 is 402541153553241.

142355351145204 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 5 + 5 + 3 + 5 + 114 + 520 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 86773137344100 + 55582213801104 = 9315210^2 + 7455348^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 142355351145204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116303390847 + ... + 116303392070.

It is an arithmetic number, because the mean of its divisors is an integer number (10583608622769).

Almost surely, 2142355351145204 is an apocalyptic number.

It is an amenable number.

142355351145204 is an abundant number, since it is smaller than the sum of its proper divisors (238654559274480).

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

142355351145204 is a wasteful number, since it uses less digits than its factorization.

142355351145204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232606782944 (or 232606782939 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 142355351145204 in words is "one hundred forty-two trillion, three hundred fifty-five billion, three hundred fifty-one million, one hundred forty-five thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 232606782917 465213565834 697820348751 930427131668 1395640697502 2093461046253 2791281395004 3954315309589 4186922092506 7908630619178 8373844185012 11862945928767 15817261238356 23725891857534 35588837786301 47451783715068 71177675572602 142355351145204