| Base | Representation |
|---|---|
| bin | 10010101001110110… |
| … | …11011000110100000 |
| 3 | 221211221121110111100 |
| 4 | 21110323123012200 |
| 5 | 131002242020430 |
| 6 | 4333431514400 |
| 7 | 503114244336 |
| oct | 112473330640 |
| 9 | 27757543440 |
| 10 | 10014798240 |
| 11 | 427a102167 |
| 12 | 1b35b28a00 |
| 13 | c37a9c025 |
| 14 | 6b00d5b56 |
| 15 | 3d9332960 |
| hex | 254edb1a0 |
10014798240 has 144 divisors (see below), whose sum is σ = 34385970528. Its totient is φ = 2654166528.
The previous prime is 10014798223. The next prime is 10014798257. The reversal of 10014798240 is 4289741001.
10014798240 is a `hidden beast` number, since 100 + 1 + 479 + 82 + 4 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (10014798223) and next prime (10014798257).
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-3 number, since 3×100147982403 (a number of 31 digits) contains 333 as substring.
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 = 10014798195 and 10014798204.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 213387 + ... + 256053.
It is an arithmetic number, because the mean of its divisors is an integer number (238791462).
Almost surely, 210014798240 is an apocalyptic number.
10014798240 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 10014798240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17192985264).
10014798240 is an abundant number, since it is smaller than the sum of its proper divisors (24371172288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10014798240 is a wasteful number, since it uses less digits than its factorization.
10014798240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 42851 (or 42840 counting only the distinct ones).
The product of its (nonzero) digits is 16128, while the sum is 36.
The spelling of 10014798240 in words is "ten billion, fourteen million, seven hundred ninety-eight thousand, two hundred forty".
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