| Base | Representation |
|---|---|
| bin | 110111101111101000011111… |
| … | …1000011011111111100000000 |
| 3 | 2101022010020211112102211020000 |
| 4 | 1233133100333003133330000 |
| 5 | 1003232043312242344100 |
| 6 | 4454503135242120000 |
| 7 | 205165203505225560 |
| oct | 15737207703377400 |
| 9 | 2338106745384200 |
| 10 | 490331704262400 |
| 11 | 132264565153700 |
| 12 | 46bb169b7b0000 |
| 13 | 1807a10983b860 |
| 14 | 8912276d8cda0 |
| 15 | 3ba49bd6d9900 |
| hex | 1bdf43f0dff00 |
490331704262400 has 12960 divisors, whose sum is σ = 2697142915805184. Its totient is φ = 85136375808000.
The previous prime is 490331704262293. The next prime is 490331704262423. The reversal of 490331704262400 is 4262407133094.
490331704262400 is a `hidden beast` number, since 4 + 9 + 0 + 3 + 3 + 17 + 0 + 4 + 2 + 624 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (12960).
It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (29) of ones.
It is a polite number, since it can be written in 1439 ways as a sum of consecutive naturals, for example, 3008169964719 + ... + 3008169964881.
Almost surely, 2490331704262400 is an apocalyptic number.
490331704262400 is a gapful number since it is divisible by the number (40) 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 490331704262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348571457902592).
490331704262400 is an abundant number, since it is smaller than the sum of its proper divisors (2206811211542784).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
490331704262400 is a wasteful number, since it uses less digits than its factorization.
490331704262400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 291 (or 252 counting only the distinct ones).
The product of its (nonzero) digits is 870912, while the sum is 45.
The spelling of 490331704262400 in words is "four hundred ninety trillion, three hundred thirty-one billion, seven hundred four million, two hundred sixty-two thousand, four hundred".
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