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14389974735360 = 2935717127123979
BaseRepresentation
bin1101000101100110110101…
…0101010001101000000000
31212221200001002012010001120
43101121231111101220000
53341231132013012420
650334355123032240
73013432663042560
oct321315525215000
955850032163046
1014389974735360
114648832657304
121744a5950b680
13804c7959a323
1437a69adb2da0
1519e4b25e7d40
hexd166d551a00

14389974735360 has 640 divisors, whose sum is σ = 56106214686720. Its totient is φ = 3071258394624.

The previous prime is 14389974735359. The next prime is 14389974735371. The reversal of 14389974735360 is 6353747998341.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 116005851 + ... + 116129829.

It is an arithmetic number, because the mean of its divisors is an integer number (87665960448).

Almost surely, 214389974735360 is an apocalyptic number.

14389974735360 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 14389974735360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28053107343360).

14389974735360 is an abundant number, since it is smaller than the sum of its proper divisors (41716239951360).

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

14389974735360 is a wasteful number, since it uses less digits than its factorization.

14389974735360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124156 (or 124140 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 69.

The spelling of 14389974735360 in words is "fourteen trillion, three hundred eighty-nine billion, nine hundred seventy-four million, seven hundred thirty-five thousand, three hundred sixty".