| Base | Representation |
|---|---|
| bin | 101101010110011110011101… |
| … | …1001011110000000011000000 |
| 3 | 1221022102201212000000112202100 |
| 4 | 1122230330323023300003000 |
| 5 | 404241243324131440222 |
| 6 | 3532230115534150400 |
| 7 | 150011350316630250 |
| oct | 13254747313600300 |
| 9 | 1838381760015670 |
| 10 | 398913260421312 |
| 11 | 10611918895148a |
| 12 | 388a808b952400 |
| 13 | 14178488a95430 |
| 14 | 707170d339960 |
| 15 | 311b9b18c14ac |
| hex | 16acf3b2f00c0 |
398913260421312 has 1344 divisors, whose sum is σ = 1518703498690560. Its totient is φ = 97133247332352.
The previous prime is 398913260421307. The next prime is 398913260421337. The reversal of 398913260421312 is 213124062319893.
It is a happy number.
398913260421312 is a `hidden beast` number, since 3 + 9 + 8 + 9 + 1 + 3 + 2 + 604 + 2 + 13 + 12 = 666.
It is a tau number, because it is divible by the number of its divisors (1344).
It is a super-2 number, since 2×3989132604213122 (a number of 30 digits) contains 22 as substring.
It is an unprimeable number.
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 191 ways as a sum of consecutive naturals, for example, 10071767013 + ... + 10071806619.
It is an arithmetic number, because the mean of its divisors is an integer number (1129987722240).
Almost surely, 2398913260421312 is an apocalyptic number.
398913260421312 is a gapful number since it is divisible by the number (32) 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 398913260421312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759351749345280).
398913260421312 is an abundant number, since it is smaller than the sum of its proper divisors (1119790238269248).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
398913260421312 is a wasteful number, since it uses less digits than its factorization.
398913260421312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 39878 (or 39865 counting only the distinct ones).
The product of its (nonzero) digits is 3359232, while the sum is 54.
The spelling of 398913260421312 in words is "three hundred ninety-eight trillion, nine hundred thirteen billion, two hundred sixty million, four hundred twenty-one thousand, three hundred twelve".
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