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23315409414 = 23311218892
BaseRepresentation
bin10101101101101101…
…001110101000000110
32020011220001111222000
4111231231032220012
5340222221100124
614413322050130
71453530465363
oct255555165006
966156044860
1023315409414
119984a39200
124628349946
132277523a5b
1411b275346a
15916d646c9
hex56db4ea06

23315409414 has 72 divisors (see below), whose sum is σ = 56980567560. Its totient is φ = 7061535360.

The previous prime is 23315409353. The next prime is 23315409421. The reversal of 23315409414 is 41490451332.

23315409414 is a `hidden beast` number, since 23 + 3 + 1 + 540 + 94 + 1 + 4 = 666.

It is a super-2 number, since 2×233154094142 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12341782 + ... + 12343670.

Almost surely, 223315409414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23315409414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28490283780).

23315409414 is an abundant number, since it is smaller than the sum of its proper divisors (33665158146).

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

23315409414 is an equidigital number, since it uses as much as digits as its factorization.

23315409414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3811 (or 1905 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 23315409414 in words is "twenty-three billion, three hundred fifteen million, four hundred nine thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 121 198 242 297 363 594 726 1089 1889 2178 3267 3778 5667 6534 11334 17001 20779 34002 41558 51003 62337 102006 124674 187011 228569 374022 457138 561033 685707 1122066 1371414 2057121 3568321 4114242 6171363 7136642 10704963 12342726 21409926 32114889 39251531 64229778 78503062 96344667 117754593 192689334 235509186 353263779 431766841 706527558 863533682 1059791337 1295300523 2119582674 2590601046 3885901569 7771803138 11657704707 23315409414