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10424312442 = 2337114471879
BaseRepresentation
bin10011011010101011…
…00110001001111010
3222220111011221101000
421231111212021322
5132322110444232
64442221105430
7516216123315
oct115525461172
928814157330
1010424312442
11446a286255
12202b0b8276
13ca189201b
1470c65597c
1541027527c
hex26d56627a

10424312442 has 64 divisors (see below), whose sum is σ = 23520153600. Its totient is φ = 3421640880.

The previous prime is 10424312389. The next prime is 10424312449. The reversal of 10424312442 is 24421342401.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10424312449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5546859 + ... + 5548737.

It is an arithmetic number, because the mean of its divisors is an integer number (367502400).

Almost surely, 210424312442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10424312442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11760076800).

10424312442 is an abundant number, since it is smaller than the sum of its proper divisors (13095841158).

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

10424312442 is a wasteful number, since it uses less digits than its factorization.

10424312442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3408 (or 3402 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 10424312442 its reverse (24421342401), we get a palindrome (34845654843).

The spelling of 10424312442 in words is "ten billion, four hundred twenty-four million, three hundred twelve thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 71 142 213 426 639 1278 1447 1879 1917 2894 3758 3834 4341 5637 8682 11274 13023 16911 26046 33822 39069 50733 78138 101466 102737 133409 205474 266818 308211 400227 616422 800454 924633 1200681 1849266 2401362 2718913 2773899 3602043 5437826 5547798 7204086 8156739 16313478 24470217 48940434 73410651 146821302 193042823 386085646 579128469 1158256938 1737385407 3474770814 5212156221 10424312442