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142385905125 = 3253126565249
BaseRepresentation
bin1000010010011011011…
…1000111110111100101
3111121112010012102021200
42010212313013313211
54313101242431000
6145224452033113
713200312136632
oct2044667076745
9447463172250
10142385905125
1155427149a62
1223718902799
1310571c84289
146c6a45d189
153a85411500
hex2126dc7de5

142385905125 has 24 divisors (see below), whose sum is σ = 256674327000. Its totient is φ = 75939148800.

The previous prime is 142385905099. The next prime is 142385905147. The reversal of 142385905125 is 521509583241.

142385905125 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 8 + 590 + 51 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36214851204 + 106171053921 = 190302^2 + 325839^2 .

It is a de Polignac number, because none of the positive numbers 2k-142385905125 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63281500 + ... + 63283749.

It is an arithmetic number, because the mean of its divisors is an integer number (10694763625).

Almost surely, 2142385905125 is an apocalyptic number.

142385905125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

142385905125 is a deficient number, since it is larger than the sum of its proper divisors (114288421875).

142385905125 is a wasteful number, since it uses less digits than its factorization.

142385905125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126565270 (or 126565257 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 142385905125 in words is "one hundred forty-two billion, three hundred eighty-five million, nine hundred five thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 1125 126565249 379695747 632826245 1139087241 1898478735 3164131225 5695436205 9492393675 15820656125 28477181025 47461968375 142385905125