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13979400120 = 2333572299109
BaseRepresentation
bin11010000010011110…
…01011011110111000
31100002020201002212000
431001033023132320
5212112211300440
610231055021000
71003264640400
oct150117133670
940066632760
1013979400120
115a24009244
12286180a760
13141a2786ba
14968873800
1556c414730
hex3413cb7b8

13979400120 has 384 divisors, whose sum is σ = 56081160000. Its totient is φ = 3084770304.

The previous prime is 13979400109. The next prime is 13979400143. The reversal of 13979400120 is 2100497931.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1530126 + ... + 1539234.

Almost surely, 213979400120 is an apocalyptic number.

13979400120 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 13979400120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28040580000).

13979400120 is an abundant number, since it is smaller than the sum of its proper divisors (42101759880).

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

13979400120 is a wasteful number, since it uses less digits than its factorization.

13979400120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9172 (or 9155 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 13979400120 in words is "thirteen billion, nine hundred seventy-nine million, four hundred thousand, one hundred twenty".