| Base | Representation |
|---|---|
| bin | 101110001010011001001010… |
| … | …1011000011111001110000000 |
| 3 | 1222020200212201001112000000200 |
| 4 | 1130110302111120133032000 |
| 5 | 411210200231340411402 |
| 6 | 3555332112040245200 |
| 7 | 151346023445623410 |
| oct | 13424622530371600 |
| 9 | 1866625631460020 |
| 10 | 406048714388352 |
| 11 | 10841a324671032 |
| 12 | 3965ab64a70800 |
| 13 | 145752ca1ac6c9 |
| 14 | 723ac11110640 |
| 15 | 31e23d3b5e21c |
| hex | 1714c9561f380 |
406048714388352 has 384 divisors, whose sum is σ = 1408824357408000. Its totient is φ = 109659805212672.
The previous prime is 406048714388351. The next prime is 406048714388399. The reversal of 406048714388352 is 253883417840604.
406048714388352 is a `hidden beast` number, since 4 + 0 + 6 + 0 + 4 + 8 + 71 + 438 + 83 + 52 = 666.
It is a tau number, because it is divible by the number of its divisors (384).
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a self number, because there is not a number n which added to its sum of digits gives 406048714388352.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (406048714388351) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64883524 + ... + 70865852.
It is an arithmetic number, because the mean of its divisors is an integer number (3668813430750).
Almost surely, 2406048714388352 is an apocalyptic number.
406048714388352 is a gapful number since it is divisible by the number (42) 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 406048714388352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704412178704000).
406048714388352 is an abundant number, since it is smaller than the sum of its proper divisors (1002775643019648).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
406048714388352 is a wasteful number, since it uses less digits than its factorization.
406048714388352 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5982818 (or 5982803 counting only the distinct ones).
The product of its (nonzero) digits is 123863040, while the sum is 63.
The spelling of 406048714388352 in words is "four hundred six trillion, forty-eight billion, seven hundred fourteen million, three hundred eighty-eight thousand, three hundred fifty-two".
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