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14138791380 = 22345723151359
BaseRepresentation
bin11010010101011110…
…01101010111010100
31100111100122000120000
431022233031113110
5212424012311010
610254551211300
71010241513060
oct151257152724
940440560500
1014138791380
115aa5a8525a
1228a7076b30
1314442b505c
14981ac4aa0
1557b3eb7c0
hex34abcd5d4

14138791380 has 480 divisors, whose sum is σ = 53392711680. Its totient is φ = 3062188800.

The previous prime is 14138791367. The next prime is 14138791451. The reversal of 14138791380 is 8319783141.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 39383641 + ... + 39383999.

It is an arithmetic number, because the mean of its divisors is an integer number (111234816).

Almost surely, 214138791380 is an apocalyptic number.

14138791380 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 14138791380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26696355840).

14138791380 is an abundant number, since it is smaller than the sum of its proper divisors (39253920300).

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

14138791380 is a wasteful number, since it uses less digits than its factorization.

14138791380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 14138791380 in words is "fourteen billion, one hundred thirty-eight million, seven hundred ninety-one thousand, three hundred eighty".