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42344512140 = 22357100820267
BaseRepresentation
bin100111011011111011…
…011111101010001100
311001022001200002112110
4213123323133222030
51143210143342030
631241445504020
73026223262110
oct473373375214
9131261602473
1042344512140
1116a5a411787
128259112010
133cbaa10c58
142099b05740
15117c74c1b0
hex9dbedfa8c

42344512140 has 48 divisors (see below), whose sum is σ = 135502440192. Its totient is φ = 9678745536.

The previous prime is 42344512123. The next prime is 42344512153. The reversal of 42344512140 is 4121544324.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 42344512098 and 42344512107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50409714 + ... + 50410553.

It is an arithmetic number, because the mean of its divisors is an integer number (2822967504).

Almost surely, 242344512140 is an apocalyptic number.

It is an amenable number.

42344512140 is an abundant number, since it is smaller than the sum of its proper divisors (93157928052).

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

42344512140 is a wasteful number, since it uses less digits than its factorization.

42344512140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100820286 (or 100820284 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The spelling of 42344512140 in words is "forty-two billion, three hundred forty-four million, five hundred twelve thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 100820267 201640534 302460801 403281068 504101335 604921602 705741869 1008202670 1209843204 1411483738 1512304005 2016405340 2117225607 2822967476 3024608010 3528709345 4234451214 6049216020 7057418690 8468902428 10586128035 14114837380 21172256070 42344512140