| Base | Representation |
|---|---|
| bin | 101110110010000010… |
| … | …0111010011101100000 |
| 3 | 100121022110100020222200 |
| 4 | 1131210010322131200 |
| 5 | 3121222043214230 |
| 6 | 114052512133200 |
| 7 | 10154400412200 |
| oct | 1354404723540 |
| 9 | 317273306880 |
| 10 | 100463257440 |
| 11 | 39673987297 |
| 12 | 17578b37200 |
| 13 | 962079b880 |
| 14 | 4c107b0400 |
| 15 | 292ec46160 |
| hex | 176413a760 |
100463257440 has 864 divisors, whose sum is σ = 443460116736. Its totient is φ = 20507074560.
The previous prime is 100463257429. The next prime is 100463257451. The reversal of 100463257440 is 44752364001.
100463257440 is a `hidden beast` number, since 1 + 0 + 0 + 46 + 3 + 2 + 574 + 40 = 666.
It is an interprime number because it is at equal distance from previous prime (100463257429) and next prime (100463257451).
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 = 100463257395 and 100463257404.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 28433914 + ... + 28437446.
It is an arithmetic number, because the mean of its divisors is an integer number (513264024).
Almost surely, 2100463257440 is an apocalyptic number.
100463257440 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 100463257440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221730058368).
100463257440 is an abundant number, since it is smaller than the sum of its proper divisors (342996859296).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100463257440 is a wasteful number, since it uses less digits than its factorization.
100463257440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3612 (or 3594 counting only the distinct ones).
The product of its (nonzero) digits is 80640, while the sum is 36.
The spelling of 100463257440 in words is "one hundred billion, four hundred sixty-three million, two hundred fifty-seven thousand, four hundred forty".
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