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14057657712 = 2432730745427
BaseRepresentation
bin11010001011110011…
…01101010101110000
31100021200222000002100
431011321231111300
5212242230021322
610242532220400
71005235055550
oct150571552560
940250860070
1014057657712
115a641aa33a
122883a6a700
131430548977
14975005160
15574221dac
hex345e6d570

14057657712 has 120 divisors (see below), whose sum is σ = 45109640576. Its totient is φ = 4003302528.

The previous prime is 14057657711. The next prime is 14057657717. The reversal of 14057657712 is 21775675041.

14057657712 is a `hidden beast` number, since 1 + 4 + 0 + 5 + 76 + 577 + 1 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14057657711) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 286743 + ... + 332169.

Almost surely, 214057657712 is an apocalyptic number.

14057657712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14057657712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22554820288).

14057657712 is an abundant number, since it is smaller than the sum of its proper divisors (31051982864).

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

14057657712 is a wasteful number, since it uses less digits than its factorization.

14057657712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45755 (or 45746 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The spelling of 14057657712 in words is "fourteen billion, fifty-seven million, six hundred fifty-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 307 336 504 614 921 1008 1228 1842 2149 2456 2763 3684 4298 4912 5526 6447 7368 8596 11052 12894 14736 17192 19341 22104 25788 34384 38682 44208 45427 51576 77364 90854 103152 136281 154728 181708 272562 309456 317989 363416 408843 545124 635978 726832 817686 953967 1090248 1271956 1635372 1907934 2180496 2543912 2861901 3270744 3815868 5087824 5723802 6541488 7631736 11447604 13946089 15263472 22895208 27892178 41838267 45790416 55784356 83676534 97622623 111568712 125514801 167353068 195245246 223137424 251029602 292867869 334706136 390490492 502059204 585735738 669412272 780980984 878603607 1004118408 1171471476 1561961968 1757207214 2008236816 2342942952 3514414428 4685885904 7028828856 14057657712