| Base | Representation |
|---|---|
| bin | 11011111100001110001100… |
| … | …10101100110000000000000 |
| 3 | 22001112212200210110110222210 |
| 4 | 31332013012111212000000 |
| 5 | 31023134411141444340 |
| 6 | 334402240521502120 |
| 7 | 15641045502615360 |
| oct | 1576070625460000 |
| 9 | 261485623413883 |
| 10 | 61442834718720 |
| 11 | 1863983a429584 |
| 12 | 6a84049041940 |
| 13 | 283905a8cc870 |
| 14 | 1125bc5bb09a0 |
| 15 | 7184084e1180 |
| hex | 37e1c6566000 |
61442834718720 has 1792 divisors, whose sum is σ = 251241358620672. Its totient is φ = 12475202273280.
The previous prime is 61442834718709. The next prime is 61442834718721. The reversal of 61442834718720 is 2781743824416.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (1792).
It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (61442834718721) by changing a digit.
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 127 ways as a sum of consecutive naturals, for example, 40132484355 + ... + 40132485885.
It is an arithmetic number, because the mean of its divisors is an integer number (140201651016).
Almost surely, 261442834718720 is an apocalyptic number.
61442834718720 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 61442834718720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125620679310336).
61442834718720 is an abundant number, since it is smaller than the sum of its proper divisors (189798523901952).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
61442834718720 is a wasteful number, since it uses less digits than its factorization.
61442834718720 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1719 (or 1695 counting only the distinct ones).
The product of its (nonzero) digits is 14450688, while the sum is 57.
The spelling of 61442834718720 in words is "sixty-one trillion, four hundred forty-two billion, eight hundred thirty-four million, seven hundred eighteen thousand, seven hundred twenty".
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