| Base | Representation |
|---|---|
| bin | 1100100011100010111… |
| … | …01101101100111101000 |
| 3 | 1112020112000212010021000 |
| 4 | 12101301131231213220 |
| 5 | 24032001442002130 |
| 6 | 530103234315000 |
| 7 | 43111334264361 |
| oct | 6216135554750 |
| 9 | 1466460763230 |
| 10 | 431400344040 |
| 11 | 156a5727a656 |
| 12 | 6b737128a60 |
| 13 | 318b0b72683 |
| 14 | 16c465acb68 |
| 15 | b34d434260 |
| hex | 647176d9e8 |
431400344040 has 256 divisors, whose sum is σ = 1447041024000. Its totient is φ = 114319054080.
The previous prime is 431400343973. The next prime is 431400344047. The reversal of 431400344040 is 40443004134.
431400344040 is a `hidden beast` number, since 4 + 314 + 0 + 0 + 344 + 0 + 4 + 0 = 666.
It is a super-2 number, since 2×4314003440402 (a number of 24 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 431400343995 and 431400344013.
It is not an unprimeable number, because it can be changed into a prime (431400344047) 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, 147385057 + ... + 147387983.
It is an arithmetic number, because the mean of its divisors is an integer number (5652504000).
Almost surely, 2431400344040 is an apocalyptic number.
431400344040 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 431400344040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723520512000).
431400344040 is an abundant number, since it is smaller than the sum of its proper divisors (1015640679960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
431400344040 is a wasteful number, since it uses less digits than its factorization.
431400344040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3757 (or 3747 counting only the distinct ones).
The product of its (nonzero) digits is 9216, while the sum is 27.
Adding to 431400344040 its reverse (40443004134), we get a palindrome (471843348174).
The spelling of 431400344040 in words is "four hundred thirty-one billion, four hundred million, three hundred forty-four thousand, forty".
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