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14408728656 = 2437283315137
BaseRepresentation
bin11010110101101001…
…11100000001010000
31101012011120020212220
431122310330001100
5214002113304111
610341433021040
71020030113160
oct153264740120
941164506786
1014408728656
116124396113
122961554780
1314881b845a
149a98b05a0
15594e6ce06
hex35ad3c050

14408728656 has 80 divisors (see below), whose sum is σ = 42557883264. Its totient is φ = 4115054592.

The previous prime is 14408728651. The next prime is 14408728661. The reversal of 14408728656 is 65682780441.

It is an interprime number because it is at equal distance from previous prime (14408728651) and next prime (14408728661).

It is a super-2 number, since 2×144087286562 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 14408728599 and 14408728608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14408728651) 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, 944320 + ... + 959456.

Almost surely, 214408728656 is an apocalyptic number.

14408728656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14408728656 is an abundant number, since it is smaller than the sum of its proper divisors (28149154608).

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

14408728656 is a wasteful number, since it uses less digits than its factorization.

14408728656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17988 (or 17982 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The spelling of 14408728656 in words is "fourteen billion, four hundred eight million, seven hundred twenty-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 2833 5666 8499 11332 15137 16998 19831 22664 30274 33996 39662 45328 45411 59493 60548 67992 79324 90822 105959 118986 121096 135984 158648 181644 211918 237972 242192 317296 317877 363288 423836 475944 635754 726576 847672 951888 1271508 1695344 2543016 5086032 42883121 85766242 128649363 171532484 257298726 300181847 343064968 514597452 600363694 686129936 900545541 1029194904 1200727388 1801091082 2058389808 2401454776 3602182164 4802909552 7204364328 14408728656