Search a number
-
+
42129018420 = 22355313248119
BaseRepresentation
bin100111001111000101…
…011100111000110100
311000202001011212201120
4213033011130320310
51142240012042140
631204231023540
73020665514406
oct471705347064
9130661155646
1042129018420
11169598070a5
1281b8b0abb0
133c85190688
14207924cb76
1511688821d0
hex9cf15ce34

42129018420 has 48 divisors (see below), whose sum is σ = 120186944640. Its totient is φ = 11022434176.

The previous prime is 42129018389. The next prime is 42129018427. The reversal of 42129018420 is 2481092124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42129018427) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6620880 + ... + 6627239.

It is an arithmetic number, because the mean of its divisors is an integer number (2503894680).

Almost surely, 242129018420 is an apocalyptic number.

It is an amenable number.

42129018420 is an abundant number, since it is smaller than the sum of its proper divisors (78057926220).

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

42129018420 is a wasteful number, since it uses less digits than its factorization.

42129018420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13248184 (or 13248182 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The spelling of 42129018420 in words is "forty-two billion, one hundred twenty-nine million, eighteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1060 1590 3180 13248119 26496238 39744357 52992476 66240595 79488714 132481190 158977428 198721785 264962380 397443570 702150307 794887140 1404300614 2106450921 2808601228 3510751535 4212901842 7021503070 8425803684 10532254605 14043006140 21064509210 42129018420