| Base | Representation |
|---|---|
| bin | 111001001110001111… |
| … | …001111010110000000 |
| 3 | 12212121000021010100120 |
| 4 | 321032033033112000 |
| 5 | 2001313143110000 |
| 6 | 44120502420240 |
| 7 | 4303410512544 |
| oct | 711617172600 |
| 9 | 185530233316 |
| 10 | 61442160000 |
| 11 | 2406a552231 |
| 12 | baa8a31680 |
| 13 | 5a4247a6c0 |
| 14 | 2d8c21ba24 |
| 15 | 18e91746a0 |
| hex | e4e3cf580 |
61442160000 has 640 divisors, whose sum is σ = 224838028800. Its totient is φ = 14767104000.
The previous prime is 61442159971. The next prime is 61442160007. The reversal of 61442160000 is 6124416.
61442160000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (640).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (61442160007) by changing a digit.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 146639791 + ... + 146640209.
It is an arithmetic number, because the mean of its divisors is an integer number (351309420).
Almost surely, 261442160000 is an apocalyptic number.
61442160000 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 61442160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112419014400).
61442160000 is an abundant number, since it is smaller than the sum of its proper divisors (163395868800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
61442160000 is a wasteful number, since it uses less digits than its factorization.
61442160000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 516 (or 489 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 24.
Adding to 61442160000 its reverse (6124416), we get a palindrome (61448284416).
It can be divided in two parts, 6144 and 2160000, that multiplied together give a square (13271040000 = 1152002).
The spelling of 61442160000 in words is "sixty-one billion, four hundred forty-two million, one hundred sixty thousand".
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