| Base | Representation |
|---|---|
| bin | 101110001011110001111111… |
| … | …1100000111010101011100000 |
| 3 | 1222021101010002101112011001000 |
| 4 | 1130113203333200322223200 |
| 5 | 411221311420211401104 |
| 6 | 3555555500543112000 |
| 7 | 151365555600656100 |
| oct | 13427437740725340 |
| 9 | 1867333071464030 |
| 10 | 406239473543904 |
| 11 | 1084932141a1000 |
| 12 | 3968bb218a2600 |
| 13 | 1458a2aab93290 |
| 14 | 7246149c05200 |
| 15 | 31e734abd0639 |
| hex | 17178ff83aae0 |
406239473543904 has 2304 divisors, whose sum is σ = 1638325958814720. Its totient is φ = 97062329548800.
The previous prime is 406239473543903. The next prime is 406239473543921. The reversal of 406239473543904 is 409345374932604.
It is a happy number.
406239473543904 is a `hidden beast` number, since 4 + 0 + 6 + 2 + 39 + 473 + 5 + 43 + 90 + 4 = 666.
It is a super-2 number, since 2×4062394735439042 (a number of 30 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (406239473543903) by changing a digit.
It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 258586551439 + ... + 258586553009.
It is an arithmetic number, because the mean of its divisors is an integer number (711078975180).
Almost surely, 2406239473543904 is an apocalyptic number.
406239473543904 is a gapful number since it is divisible by the number (44) 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 406239473543904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819162979407360).
406239473543904 is an abundant number, since it is smaller than the sum of its proper divisors (1232086485270816).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
406239473543904 is a wasteful number, since it uses less digits than its factorization.
406239473543904 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2003 (or 1960 counting only the distinct ones).
The product of its (nonzero) digits is 235146240, while the sum is 63.
The spelling of 406239473543904 in words is "four hundred six trillion, two hundred thirty-nine billion, four hundred seventy-three million, five hundred forty-three thousand, nine hundred four".
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