Base | Representation |
---|---|
bin | 11001111010101101… |
… | …00101111001000000 |
3 | 1022220201002100100000 |
4 | 30331112211321000 |
5 | 211444021000212 |
6 | 10220410200000 |
7 | 1001544020100 |
oct | 147526457100 |
9 | 38821070300 |
10 | 13914234432 |
11 | 59a024a2aa |
12 | 2843a23000 |
13 | 1409910417 |
14 | 95dd4d200 |
15 | 5668411dc |
hex | 33d5a5e40 |
13914234432 has 756 divisors, whose sum is σ = 52331020560. Its totient is φ = 3644766720.
The previous prime is 13914234403. The next prime is 13914234461. The reversal of 13914234432 is 23443241931.
13914234432 is a `hidden beast` number, since 1 + 391 + 4 + 234 + 4 + 32 = 666.
13914234432 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 (13914234403) and next prime (13914234461).
It is a tau number, because it is divible by the number of its divisors (756).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 448846257 + ... + 448846287.
Almost surely, 213914234432 is an apocalyptic number.
13914234432 is a gapful number since it is divisible by the number (12) 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 13914234432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26165510280).
13914234432 is an abundant number, since it is smaller than the sum of its proper divisors (38416786128).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13914234432 is an equidigital number, since it uses as much as digits as its factorization.
13914234432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 122 (or 62 counting only the distinct ones).
The product of its digits is 62208, while the sum is 36.
The spelling of 13914234432 in words is "thirteen billion, nine hundred fourteen million, two hundred thirty-four thousand, four hundred thirty-two".
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