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14012660064 = 2531316136961
BaseRepresentation
bin11010000110011100…
…00011100101100000
31100011120021212220210
431003032003211200
5212144220110224
610234243534120
71004150434224
oct150316034540
940146255823
1014012660064
115a408659a7
12287098a340
131424122440
1496d050784
155702d4429
hex343383960

14012660064 has 96 divisors (see below), whose sum is σ = 39642964704. Its totient is φ = 4308295680.

The previous prime is 14012660009. The next prime is 14012660069. The reversal of 14012660064 is 46006621041.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14012660069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2009544 + ... + 2016504.

It is an arithmetic number, because the mean of its divisors is an integer number (412947549).

Almost surely, 214012660064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14012660064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19821482352).

14012660064 is an abundant number, since it is smaller than the sum of its proper divisors (25630304640).

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

14012660064 is a wasteful number, since it uses less digits than its factorization.

14012660064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8600 (or 8592 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 14012660064 in words is "fourteen billion, twelve million, six hundred sixty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 1613 3226 4839 6452 6961 9678 12904 13922 19356 20883 20969 25808 27844 38712 41766 41938 51616 55688 62907 77424 83532 83876 90493 111376 125814 154848 167064 167752 180986 222752 251628 271479 334128 335504 361972 503256 542958 668256 671008 723944 1006512 1085916 1447888 2013024 2171832 2895776 4343664 8687328 11228093 22456186 33684279 44912372 67368558 89824744 134737116 145965209 179649488 269474232 291930418 359298976 437895627 538948464 583860836 875791254 1077896928 1167721672 1751582508 2335443344 3503165016 4670886688 7006330032 14012660064