| Base | Representation |
|---|---|
| bin | 100010000111111101110… |
| … | …011111111011110111100 |
| 3 | 22022011220011021020022100 |
| 4 | 202013331303333132330 |
| 5 | 301410042423110330 |
| 6 | 4553141335145100 |
| 7 | 331264445240235 |
| oct | 42077563773674 |
| 9 | 8264804236270 |
| 10 | 2345015441340 |
| 11 | 82457409a470 |
| 12 | 31a590b15190 |
| 13 | 14019854c5b0 |
| 14 | 816dc32008c |
| 15 | 40eec62a060 |
| hex | 221fdcff7bc |
2345015441340 has 288 divisors, whose sum is σ = 8365638730176. Its totient is φ = 524202577920.
The previous prime is 2345015441339. The next prime is 2345015441341. The reversal of 2345015441340 is 431445105432.
2345015441340 is a `hidden beast` number, since 2 + 3 + 4 + 50 + 154 + 413 + 40 = 666.
It is an interprime number because it is at equal distance from previous prime (2345015441339) and next prime (2345015441341).
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 = 2345015441295 and 2345015441304.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2345015441341) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24482422 + ... + 24578018.
It is an arithmetic number, because the mean of its divisors is an integer number (29047356702).
Almost surely, 22345015441340 is an apocalyptic number.
2345015441340 is a gapful number since it is divisible by the number (20) 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 2345015441340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4182819365088).
2345015441340 is an abundant number, since it is smaller than the sum of its proper divisors (6020623288836).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2345015441340 is a wasteful number, since it uses less digits than its factorization.
2345015441340 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 96589 (or 96584 counting only the distinct ones).
The product of its (nonzero) digits is 115200, while the sum is 36.
The spelling of 2345015441340 in words is "two trillion, three hundred forty-five billion, fifteen million, four hundred forty-one thousand, three hundred forty".
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