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14563465440 = 253530340553
BaseRepresentation
bin11011001000000110…
…01101100011100000
31101120221201200211220
431210003031203200
5214311221343230
610405041335040
71023616261626
oct154403154340
941527650756
1014563465440
1161a3773157
1229a5337480
1314b1285394
149c226d516
155a3835d10
hex3640cd8e0

14563465440 has 48 divisors (see below), whose sum is σ = 45874917648. Its totient is φ = 3883590656.

The previous prime is 14563465409. The next prime is 14563465481. The reversal of 14563465440 is 4456436541.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 14563465392 and 14563465401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15169797 + ... + 15170756.

It is an arithmetic number, because the mean of its divisors is an integer number (955727451).

Almost surely, 214563465440 is an apocalyptic number.

14563465440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14563465440 is an abundant number, since it is smaller than the sum of its proper divisors (31311452208).

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

14563465440 is a wasteful number, since it uses less digits than its factorization.

14563465440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30340571 (or 30340563 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 14563465440 in words is "fourteen billion, five hundred sixty-three million, four hundred sixty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 30340553 60681106 91021659 121362212 151702765 182043318 242724424 303405530 364086636 455108295 485448848 606811060 728173272 910216590 970897696 1213622120 1456346544 1820433180 2427244240 2912693088 3640866360 4854488480 7281732720 14563465440