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14388139349760 = 2835112591573343
BaseRepresentation
bin1101000101011111111111…
…1011110101011100000000
31212221111022011120212100010
43101113333323311130000
53341213402133143020
650333453040224520
73013336335366261
oct321277773653400
955844264525303
1014388139349760
114647a80623a00
12174462690b140
13804a4626ab47
1437a565328968
1519e4063eede0
hexd15ffef5700

14388139349760 has 864 divisors, whose sum is σ = 51708077245440. Its totient is φ = 3406055178240.

The previous prime is 14388139349719. The next prime is 14388139349777. The reversal of 14388139349760 is 6794393188341.

It is a super-2 number, since 2×143881393497602 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 14388139349691 and 14388139349700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4303958649 + ... + 4303961991.

Almost surely, 214388139349760 is an apocalyptic number.

14388139349760 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 14388139349760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25854038622720).

14388139349760 is an abundant number, since it is smaller than the sum of its proper divisors (37319937895680).

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

14388139349760 is a wasteful number, since it uses less digits than its factorization.

14388139349760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3605 (or 3580 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 66.

The spelling of 14388139349760 in words is "fourteen trillion, three hundred eighty-eight billion, one hundred thirty-nine million, three hundred forty-nine thousand, seven hundred sixty".