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23450131314 = 23562777687
BaseRepresentation
bin10101110101101111…
…001001101101110010
32020112021120002200000
4111311233021231302
5341011213200224
614434533410430
71460054553531
oct256557115562
966467502600
1023450131314
119a43a95815
124665499a16
13229940385c
1411c65c2318
15923ac70c9
hex575bc9b72

23450131314 has 48 divisors (see below), whose sum is σ = 52705668288. Its totient is φ = 7814448432.

The previous prime is 23450131301. The next prime is 23450131337. The reversal of 23450131314 is 41313105432.

It is a happy number.

23450131314 is a `hidden beast` number, since 2 + 345 + 0 + 1 + 3 + 1 + 314 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3046779 + ... + 3054465.

It is an arithmetic number, because the mean of its divisors is an integer number (1098034756).

Almost surely, 223450131314 is an apocalyptic number.

23450131314 is an abundant number, since it is smaller than the sum of its proper divisors (29255536974).

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

23450131314 is an equidigital number, since it uses as much as digits as its factorization.

23450131314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13981 (or 13969 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 23450131314 its reverse (41313105432), we get a palindrome (64763236746).

The spelling of 23450131314 in words is "twenty-three billion, four hundred fifty million, one hundred thirty-one thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 6277 7687 12554 15374 18831 23061 37662 46122 56493 69183 112986 138366 169479 207549 338958 415098 508437 622647 1016874 1245294 1525311 1867941 3050622 3735882 48251299 96502598 144753897 289507794 434261691 868523382 1302785073 2605570146 3908355219 7816710438 11725065657 23450131314