| Base | Representation |
|---|---|
| bin | 1000111010010111101… |
| … | …0011010001111100000 |
| 3 | 112122012022121012001211 |
| 4 | 2032211322122033200 |
| 5 | 10002030444022330 |
| 6 | 154200411035504 |
| 7 | 14030100331222 |
| oct | 2164572321740 |
| 9 | 478168535054 |
| 10 | 153107407840 |
| 11 | 59a2915a702 |
| 12 | 2580b43bb94 |
| 13 | 1159029c21a |
| 14 | 75a6356412 |
| 15 | 3eb17dcd2a |
| hex | 23a5e9a3e0 |
153107407840 has 192 divisors, whose sum is σ = 377884362240. Its totient is φ = 58557726720.
The previous prime is 153107407769. The next prime is 153107407847. The reversal of 153107407840 is 48704701351.
It is a happy number.
153107407840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (40).
It is a junction number, because it is equal to n+sod(n) for n = 153107407793 and 153107407802.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (153107407847) 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 31 ways as a sum of consecutive naturals, for example, 199098976 + ... + 199099744.
It is an arithmetic number, because the mean of its divisors is an integer number (1968147720).
Almost surely, 2153107407840 is an apocalyptic number.
153107407840 is a gapful number since it is divisible by the number (10) 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 153107407840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188942181120).
153107407840 is an abundant number, since it is smaller than the sum of its proper divisors (224776954400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
153107407840 is a wasteful number, since it uses less digits than its factorization.
153107407840 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1245 (or 1237 counting only the distinct ones).
The product of its (nonzero) digits is 94080, while the sum is 40.
The spelling of 153107407840 in words is "one hundred fifty-three billion, one hundred seven million, four hundred seven thousand, eight hundred forty".
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