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13900946334660 = 2232572111303109961
BaseRepresentation
bin1100101001001001000011…
…1101111110001111000100
31211012220202211222101121200
43022102100331332033010
53310223114230202120
645322001231142500
72633211260161200
oct312222075761704
954186684871550
1013900946334660
11447a3a3899850
12168611a974a30
1379ab13511b58
14360b48d89b00
151918dece3e90
hexca490f7e3c4

13900946334660 has 432 divisors, whose sum is σ = 53551170271872. Its totient is φ = 2886265267200.

The previous prime is 13900946334643. The next prime is 13900946334677. The reversal of 13900946334660 is 6643364900931.

13900946334660 is a `hidden beast` number, since 1 + 3 + 90 + 0 + 9 + 463 + 34 + 6 + 60 = 666.

13900946334660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13900946334643) and next prime (13900946334677).

It is a junction number, because it is equal to n+sod(n) for n = 13900946334597 and 13900946334606.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 126362080 + ... + 126472040.

It is an arithmetic number, because the mean of its divisors is an integer number (123961042296).

Almost surely, 213900946334660 is an apocalyptic number.

13900946334660 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 13900946334660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26775585135936).

13900946334660 is an abundant number, since it is smaller than the sum of its proper divisors (39650223937212).

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

13900946334660 is a wasteful number, since it uses less digits than its factorization.

13900946334660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111304 (or 111292 counting only the distinct ones).

The product of its (nonzero) digits is 7558272, while the sum is 54.

The spelling of 13900946334660 in words is "thirteen trillion, nine hundred billion, nine hundred forty-six million, three hundred thirty-four thousand, six hundred sixty".