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13440539620560 = 2435133177392029
BaseRepresentation
bin1100001110010101111010…
…0101101111010011010000
31202120220101022112000000110
43003211132211233103100
53230202211120324220
644330255413321320
72555022046525113
oct303453645572320
952526338460013
1013440539620560
114312112249038
121610a49636240
1376658c0c4000
1434675030257a
15184945109be0
hexc395e96f4d0

13440539620560 has 640 divisors, whose sum is σ = 47879560512000. Its totient is φ = 3108080222208.

The previous prime is 13440539620549. The next prime is 13440539620567. The reversal of 13440539620560 is 6502693504431.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13440539620567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6624217626 + ... + 6624219654.

It is an arithmetic number, because the mean of its divisors is an integer number (74811813300).

Almost surely, 213440539620560 is an apocalyptic number.

13440539620560 is a gapful number since it is divisible by the number (10) 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 13440539620560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23939780256000).

13440539620560 is an abundant number, since it is smaller than the sum of its proper divisors (34439020891440).

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

13440539620560 is a wasteful number, since it uses less digits than its factorization.

13440539620560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2840 (or 2808 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 48.

The spelling of 13440539620560 in words is "thirteen trillion, four hundred forty billion, five hundred thirty-nine million, six hundred twenty thousand, five hundred sixty".