| Base | Representation |
|---|---|
| bin | 111111101101000001… |
| … | …101010100110000000 |
| 3 | 20112112222211020211200 |
| 4 | 333231001222212000 |
| 5 | 2110041143134430 |
| 6 | 51231213541200 |
| 7 | 4641021102300 |
| oct | 775501524600 |
| 9 | 215488736750 |
| 10 | 68401146240 |
| 11 | 27010733629 |
| 12 | 1130b4a4800 |
| 13 | 65b112353b |
| 14 | 344c53d600 |
| 15 | 1ba508b460 |
| hex | fed06a980 |
68401146240 has 1152 divisors, whose sum is σ = 294842358720. Its totient is φ = 14533263360.
The previous prime is 68401146179. The next prime is 68401146241. The reversal of 68401146240 is 4264110486.
It is a happy number.
68401146240 is a `hidden beast` number, since 6 + 8 + 401 + 1 + 4 + 6 + 240 = 666.
It is a tau number, because it is divible by the number of its divisors (1152).
It is a super-2 number, since 2×684011462402 (a number of 22 digits) contains 22 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 = 68401146195 and 68401146204.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (68401146241) by changing a digit.
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 143 ways as a sum of consecutive naturals, for example, 266152192 + ... + 266152448.
Almost surely, 268401146240 is an apocalyptic number.
68401146240 is a gapful number since it is divisible by the number (60) 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 68401146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147421179360).
68401146240 is an abundant number, since it is smaller than the sum of its proper divisors (226441212480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
68401146240 is a wasteful number, since it uses less digits than its factorization.
68401146240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 360 (or 338 counting only the distinct ones).
The product of its (nonzero) digits is 36864, while the sum is 36.
The spelling of 68401146240 in words is "sixty-eight billion, four hundred one million, one hundred forty-six thousand, two hundred forty".
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