| Base | Representation |
|---|---|
| bin | 110101001111100011… |
| … | …1010111010110000000 |
| 3 | 101221010110100121210200 |
| 4 | 1222133013113112000 |
| 5 | 3333131144021124 |
| 6 | 124305414125200 |
| 7 | 11155263361110 |
| oct | 1523707272600 |
| 9 | 357113317720 |
| 10 | 114338657664 |
| 11 | 44544211900 |
| 12 | 1a1ab950800 |
| 13 | aa22332c6a |
| 14 | 57694d1040 |
| 15 | 2e92e65bc9 |
| hex | 1a9f1d7580 |
114338657664 has 1152 divisors, whose sum is σ = 448739403840. Its totient is φ = 27249868800.
The previous prime is 114338657651. The next prime is 114338657677. The reversal of 114338657664 is 466756833411.
114338657664 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 3 + 8 + 6 + 576 + 64 = 666.
It is an interprime number because it is at equal distance from previous prime (114338657651) and next prime (114338657677).
It is a tau number, because it is divible by the number of its divisors (1152).
Its product of digits (8709120) is a multiple of the sum of its prime factors (240).
It is a self number, because there is not a number n which added to its sum of digits gives 114338657664.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1011846472 + ... + 1011846584.
Almost surely, 2114338657664 is an apocalyptic number.
114338657664 is a gapful number since it is divisible by the number (14) 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 114338657664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224369701920).
114338657664 is an abundant number, since it is smaller than the sum of its proper divisors (334400746176).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
114338657664 is a wasteful number, since it uses less digits than its factorization.
114338657664 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 240 (or 214 counting only the distinct ones).
The product of its digits is 8709120, while the sum is 54.
The spelling of 114338657664 in words is "one hundred fourteen billion, three hundred thirty-eight million, six hundred fifty-seven thousand, six hundred sixty-four".
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