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42059120136 = 23311159314849
BaseRepresentation
bin100111001010111010…
…110011111000001000
311000120011122200022020
4213022322303320020
51142114113321021
631153252524440
73016156423335
oct471272637010
9130504580266
1042059120136
1116923305520
128199620720
133c73859247
14206dc5598c
1511626767c6
hex9caeb3e08

42059120136 has 32 divisors (see below), whose sum is σ = 114706692000. Its totient is φ = 12745187840.

The previous prime is 42059120111. The next prime is 42059120161. The reversal of 42059120136 is 63102195024.

42059120136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42059120111) and next prime (42059120161).

It is a super-2 number, since 2×420591201362 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 42059120097 and 42059120106.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79657161 + ... + 79657688.

It is an arithmetic number, because the mean of its divisors is an integer number (3584584125).

Almost surely, 242059120136 is an apocalyptic number.

It is an amenable number.

42059120136 is an abundant number, since it is smaller than the sum of its proper divisors (72647571864).

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

42059120136 is a wasteful number, since it uses less digits than its factorization.

42059120136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159314869 (or 159314865 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 42059120136 in words is "forty-two billion, fifty-nine million, one hundred twenty thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 159314849 318629698 477944547 637259396 955889094 1274518792 1752463339 1911778188 3504926678 3823556376 5257390017 7009853356 10514780034 14019706712 21029560068 42059120136