| Base | Representation |
|---|---|
| bin | 101111010101000100… |
| … | …1010000100000100000 |
| 3 | 100201100101100002012100 |
| 4 | 1132222021100200200 |
| 5 | 3131124013121230 |
| 6 | 114405304130400 |
| 7 | 10225463362161 |
| oct | 1365211204040 |
| 9 | 321311302170 |
| 10 | 101638801440 |
| 11 | 3a1174a9960 |
| 12 | 17846766a00 |
| 13 | 977a1ac637 |
| 14 | 4cc2975768 |
| 15 | 299d050660 |
| hex | 17aa250820 |
101638801440 has 288 divisors, whose sum is σ = 382053200256. Its totient is φ = 24400097280.
The previous prime is 101638801417. The next prime is 101638801441. The reversal of 101638801440 is 44108836101.
It is a happy number.
101638801440 is a `hidden beast` number, since 1 + 0 + 1 + 638 + 8 + 0 + 14 + 4 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
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 = 101638801395 and 101638801404.
It is not an unprimeable number, because it can be changed into a prime (101638801441) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1600372 + ... + 1662668.
It is an arithmetic number, because the mean of its divisors is an integer number (1326573612).
Almost surely, 2101638801440 is an apocalyptic number.
101638801440 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 101638801440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191026600128).
101638801440 is an abundant number, since it is smaller than the sum of its proper divisors (280414398816).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101638801440 is a wasteful number, since it uses less digits than its factorization.
101638801440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 62432 (or 62421 counting only the distinct ones).
The product of its (nonzero) digits is 18432, while the sum is 36.
The spelling of 101638801440 in words is "one hundred one billion, six hundred thirty-eight million, eight hundred one thousand, four hundred forty".
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