Base | Representation |
---|---|
bin | 11010000111101101… |
… | …11011111100000000 |
3 | 1100012022110100022000 |
4 | 31003312323330000 |
5 | 212204441023030 |
6 | 10235305344000 |
7 | 1004340510000 |
oct | 150366737400 |
9 | 40168410260 |
10 | 14023376640 |
11 | 5a46915479 |
12 | 2874498000 |
13 | 1426405200 |
14 | 970640000 |
15 | 5711ee860 |
hex | 343dbbf00 |
14023376640 has 1080 divisors, whose sum is σ = 62863179120. Its totient is φ = 2958778368.
The previous prime is 14023376629. The next prime is 14023376651. The reversal of 14023376640 is 4667332041.
It is a happy number.
14023376640 is a `hidden beast` number, since 1 + 4 + 0 + 2 + 3 + 3 + 7 + 6 + 640 = 666.
It is an interprime number because it is at equal distance from previous prime (14023376629) and next prime (14023376651).
It is a tau number, because it is divible by the number of its divisors (1080).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 14023376595 and 14023376604.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1078721274 + ... + 1078721286.
Almost surely, 214023376640 is an apocalyptic number.
14023376640 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 14023376640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31431589560).
14023376640 is an abundant number, since it is smaller than the sum of its proper divisors (48839802480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
14023376640 is an frugal number, since it uses more digits than its factorization.
14023376640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 84 (or 30 counting only the distinct ones).
The product of its (nonzero) digits is 72576, while the sum is 36.
The spelling of 14023376640 in words is "fourteen billion, twenty-three million, three hundred seventy-six thousand, six hundred forty".
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