| Base | Representation |
|---|---|
| bin | 100111011011111110… |
| … | …000101011000100000 |
| 3 | 11001022002221120200100 |
| 4 | 213123332011120200 |
| 5 | 1143210332102234 |
| 6 | 31241512222400 |
| 7 | 3026232120120 |
| oct | 473376053040 |
| 9 | 131262846610 |
| 10 | 42345190944 |
| 11 | 16a5a835781 |
| 12 | 825939aa00 |
| 13 | 3cbabbac04 |
| 14 | 2099c40c80 |
| 15 | 117c833399 |
| hex | 9dbf85620 |
42345190944 has 288 divisors, whose sum is σ = 139257256320. Its totient is φ = 11955879936.
The previous prime is 42345190897. The next prime is 42345190949. The reversal of 42345190944 is 44909154324.
42345190944 is a `hidden beast` number, since 4 + 23 + 451 + 90 + 94 + 4 = 666.
42345190944 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 (288).
It is a super-2 number, since 2×423451909442 (a number of 22 digits) contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 42345190944.
It is not an unprimeable number, because it can be changed into a prime (42345190949) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111728547 + ... + 111728925.
It is an arithmetic number, because the mean of its divisors is an integer number (483532140).
Almost surely, 242345190944 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 42345190944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69628628160).
42345190944 is an abundant number, since it is smaller than the sum of its proper divisors (96912065376).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42345190944 is a wasteful number, since it uses less digits than its factorization.
42345190944 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 912 (or 901 counting only the distinct ones).
The product of its (nonzero) digits is 622080, while the sum is 45.
It can be divided in two parts, 42345 and 190944, that added together give a square (233289 = 4832).
The spelling of 42345190944 in words is "forty-two billion, three hundred forty-five million, one hundred ninety thousand, nine hundred forty-four".
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