| Base | Representation |
|---|---|
| bin | 101111001111101101… |
| … | …1110111001011010000 |
| 3 | 100200212212020210000000 |
| 4 | 1132133123313023100 |
| 5 | 3130242014112130 |
| 6 | 114335405130000 |
| 7 | 10221152240013 |
| oct | 1363733671320 |
| 9 | 320785223000 |
| 10 | 101459129040 |
| 11 | 3a035040375 |
| 12 | 177b6559900 |
| 13 | 974bbc18c9 |
| 14 | 4ca6b6537a |
| 15 | 298c3ae260 |
| hex | 179f6f72d0 |
101459129040 has 640 divisors, whose sum is σ = 388889395200. Its totient is φ = 24498878976.
The previous prime is 101459129039. The next prime is 101459129041. The reversal of 101459129040 is 40921954101.
It is a happy number.
101459129040 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 591 + 29 + 0 + 40 = 666.
It is an interprime number because it is at equal distance from previous prime (101459129039) and next prime (101459129041).
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 = 101459128986 and 101459129004.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (101459129041) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 76456857 + ... + 76458183.
It is an arithmetic number, because the mean of its divisors is an integer number (607639680).
Almost surely, 2101459129040 is an apocalyptic number.
101459129040 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 101459129040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194444697600).
101459129040 is an abundant number, since it is smaller than the sum of its proper divisors (287430266160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101459129040 is a wasteful number, since it uses less digits than its factorization.
101459129040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1403 (or 1379 counting only the distinct ones).
The product of its (nonzero) digits is 12960, while the sum is 36.
The spelling of 101459129040 in words is "one hundred one billion, four hundred fifty-nine million, one hundred twenty-nine thousand, forty".
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