| Base | Representation |
|---|---|
| bin | 1101010011111111110… |
| … | …00011011011000000000 |
| 3 | 1121201122211102210001101 |
| 4 | 12221333320123120000 |
| 5 | 24443234440011000 |
| 6 | 550044315144144 |
| 7 | 45022045056340 |
| oct | 6517770333000 |
| 9 | 1551584383041 |
| 10 | 457412032000 |
| 11 | 166a95192830 |
| 12 | 74796445054 |
| 13 | 34197b79001 |
| 14 | 181d3066d20 |
| 15 | bd71d45e6a |
| hex | 6a7fe1b600 |
457412032000 has 640 divisors, whose sum is σ = 1437670840320. Its totient is φ = 141004800000.
The previous prime is 457412031983. The next prime is 457412032003. The reversal of 457412032000 is 230214754.
It is a tau number, because it is divible by the number of its divisors (640).
It is a Harshad number since it is a multiple of its sum of digits (28).
It is a self number, because there is not a number n which added to its sum of digits gives 457412032000.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (457412032003) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 497727541 + ... + 497728459.
It is an arithmetic number, because the mean of its divisors is an integer number (2246360688).
Almost surely, 2457412032000 is an apocalyptic number.
457412032000 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 457412032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718835420160).
457412032000 is an abundant number, since it is smaller than the sum of its proper divisors (980258808320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
457412032000 is a wasteful number, since it uses less digits than its factorization.
457412032000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1071 (or 1045 counting only the distinct ones).
The product of its (nonzero) digits is 6720, while the sum is 28.
Adding to 457412032000 its reverse (230214754), we get a palindrome (457642246754).
It can be divided in two parts, 45741 and 2032000, that added together give a triangular number (2077741 = T2038).
The spelling of 457412032000 in words is "four hundred fifty-seven billion, four hundred twelve million, thirty-two thousand".
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