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14130725485536 = 25341117257113437
BaseRepresentation
bin1100110110100001000011…
…0111110111101111100000
31212000212212112222200110000
43031220100313313233200
53323004211211014121
650015322103540000
72655624356553102
oct315502067675740
955025775880400
1014130725485536
114558897170840
12170276745a600
137b66a221c05a
1436bd06027572
1519788c7ba526
hexcda10df7be0

14130725485536 has 480 divisors, whose sum is σ = 48190112242272. Its totient is φ = 4014436515840.

The previous prime is 14130725485531. The next prime is 14130725485543. The reversal of 14130725485536 is 63558452703141.

It is a happy number.

14130725485536 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 0 + 7 + 25 + 4 + 85 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14130725485531) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 124512210 + ... + 124625646.

Almost surely, 214130725485536 is an apocalyptic number.

14130725485536 is a gapful number since it is divisible by the number (16) 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 14130725485536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24095056121136).

14130725485536 is an abundant number, since it is smaller than the sum of its proper divisors (34059386756736).

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

14130725485536 is a wasteful number, since it uses less digits than its factorization.

14130725485536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113744 (or 113727 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 14130725485536 in words is "fourteen trillion, one hundred thirty billion, seven hundred twenty-five million, four hundred eighty-five thousand, five hundred thirty-six".