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42125034132 = 22323731625401
BaseRepresentation
bin100111001110110110…
…010000001010010100
311000201202200110022100
4213032312100022110
51142233002043012
631204005402100
73020616611406
oct471666201224
9130652613270
1042125034132
11169575356a5
1281b7709330
133c843c6ccc
1420788d2b76
1511683468dc
hex9ced90294

42125034132 has 36 divisors (see below), whose sum is σ = 109360640116. Its totient is φ = 13662172800.

The previous prime is 42125034103. The next prime is 42125034143. The reversal of 42125034132 is 23143052124.

42125034132 is a `hidden beast` number, since 4 + 21 + 2 + 503 + 4 + 132 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 37917436176 + 4207597956 = 194724^2 + 64866^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 42125034096 and 42125034105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15811369 + ... + 15814032.

Almost surely, 242125034132 is an apocalyptic number.

It is an amenable number.

42125034132 is an abundant number, since it is smaller than the sum of its proper divisors (67235605984).

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

42125034132 is a wasteful number, since it uses less digits than its factorization.

42125034132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31625448 (or 31625443 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 42125034132 its reverse (23143052124), we get a palindrome (65268086256).

The spelling of 42125034132 in words is "forty-two billion, one hundred twenty-five million, thirty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 31625401 63250802 94876203 126501604 189752406 284628609 379504812 569257218 1138514436 1170139837 2340279674 3510419511 4680559348 7020839022 10531258533 14041678044 21062517066 42125034132