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23332440042 = 2332932094643
BaseRepresentation
bin10101101110101110…
…001100011111101010
32020020002002202121000
4111232232030133222
5340241101040132
614415131055430
71454125316352
oct255656143752
966202082530
1023332440042
1199936105aa
124631ba1576
13227ac07752
1411b4b07b62
159185ca87c
hex56eb8c7ea

23332440042 has 64 divisors (see below), whose sum is σ = 53666064000. Its totient is φ = 7505334144.

The previous prime is 23332440031. The next prime is 23332440073. The reversal of 23332440042 is 24004423332.

23332440042 is a `hidden beast` number, since 233 + 3 + 24 + 400 + 4 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 23332439988 and 23332440015.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5022973 + ... + 5027615.

It is an arithmetic number, because the mean of its divisors is an integer number (838532250).

Almost surely, 223332440042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23332440042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26833032000).

23332440042 is an abundant number, since it is smaller than the sum of its proper divisors (30333623958).

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

23332440042 is a wasteful number, since it uses less digits than its factorization.

23332440042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7892 (or 7886 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 23332440042 its reverse (24004423332), we get a palindrome (47336863374).

The spelling of 23332440042 in words is "twenty-three billion, three hundred thirty-two million, four hundred forty thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 261 522 783 1566 3209 4643 6418 9286 9627 13929 19254 27858 28881 41787 57762 83574 86643 93061 125361 134647 173286 186122 250722 269294 279183 403941 558366 807882 837549 1211823 1675098 2423646 2512647 3635469 5025294 7270938 14899387 29798774 44698161 89396322 134094483 268188966 402283449 432082223 804566898 864164446 1296246669 2592493338 3888740007 7777480014 11666220021 23332440042