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42245854224 = 2437125731709
BaseRepresentation
bin100111010110000011…
…001001010000010000
311001001012000202022120
4213112003021100100
51143004414313344
631224003134240
73023614556520
oct472603112020
9131035022276
1042245854224
1116a09757612
128230074380
133ca344a2a2
14208a983680
151173c60219
hex9d60c9410

42245854224 has 40 divisors (see below), whose sum is σ = 124725856320. Its totient is φ = 12070243968.

The previous prime is 42245854177. The next prime is 42245854291.

42245854224 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62865519 + ... + 62866190.

It is an arithmetic number, because the mean of its divisors is an integer number (3118146408).

Almost surely, 242245854224 is an apocalyptic number.

It is an amenable number.

42245854224 is an abundant number, since it is smaller than the sum of its proper divisors (82480002096).

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

42245854224 is a wasteful number, since it uses less digits than its factorization.

42245854224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125731727 (or 125731721 counting only the distinct ones).

The product of its digits is 819200, while the sum is 42.

The spelling of 42245854224 in words is "forty-two billion, two hundred forty-five million, eight hundred fifty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 125731709 251463418 377195127 502926836 754390254 880121963 1005853672 1508780508 1760243926 2011707344 2640365889 3017561016 3520487852 5280731778 6035122032 7040975704 10561463556 14081951408 21122927112 42245854224