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42435653424 = 2433723893949
BaseRepresentation
bin100111100001010111…
…001010111100110000
311001112102011112212120
4213201113022330300
51143402011402144
631254503154240
73031411050123
oct474127127460
9131472145776
1042435653424
1116aa690255a
128283745980
1340038724c8
1420a7c6c3ba
151185751e19
hex9e15caf30

42435653424 has 40 divisors (see below), whose sum is σ = 112588292400. Its totient is φ = 13762914048.

The previous prime is 42435653401. The next prime is 42435653459.

It is a happy number.

42435653424 is nontrivially palindromic in base 10.

42435653424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 11945199 + ... + 11948750.

It is an arithmetic number, because the mean of its divisors is an integer number (2814707310).

Almost surely, 242435653424 is an apocalyptic number.

It is an amenable number.

42435653424 is an abundant number, since it is smaller than the sum of its proper divisors (70152638976).

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

42435653424 is a wasteful number, since it uses less digits than its factorization.

42435653424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23893997 (or 23893991 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 42.

The spelling of 42435653424 in words is "forty-two billion, four hundred thirty-five million, six hundred fifty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 888 1776 23893949 47787898 71681847 95575796 143363694 191151592 286727388 382303184 573454776 884076113 1146909552 1768152226 2652228339 3536304452 5304456678 7072608904 10608913356 14145217808 21217826712 42435653424