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400431401243331 = 32331433399764993
BaseRepresentation
bin101101100001100001011001…
…1011011011001001011000011
31221111210212102211210220222220
41123003002303123121023003
5404441132002204241311
63535351351324502123
7150226133261663613
oct13303026333311303
91844725384726886
10400431401243331
1110665400485a967
1238ab23560aa943
1314258699646843
1470c4da9daca43
15314621668e206
hex16c30b36d92c3

400431401243331 has 16 divisors (see below), whose sum is σ = 536574169306656. Its totient is φ = 265623049404416.

The previous prime is 400431401243309. The next prime is 400431401243407. The reversal of 400431401243331 is 133342104134004.

It is a cyclic number.

It is not a de Polignac number, because 400431401243331 - 213 = 400431401235139 is a prime.

It is a super-2 number, since 2×4004314012433312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 400431401243292 and 400431401243301.

It is not an unprimeable number, because it can be changed into a prime (400431401243131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198880830 + ... + 200884163.

It is an arithmetic number, because the mean of its divisors is an integer number (33535885581666).

Almost surely, 2400431401243331 is an apocalyptic number.

400431401243331 is a deficient number, since it is larger than the sum of its proper divisors (136142768063325).

400431401243331 is a wasteful number, since it uses less digits than its factorization.

400431401243331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399766662.

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 400431401243331 its reverse (133342104134004), we get a palindrome (533773505377335).

The spelling of 400431401243331 in words is "four hundred trillion, four hundred thirty-one billion, four hundred one million, two hundred forty-three thousand, three hundred thirty-one".

Divisors: 1 3 233 699 1433 4299 333889 1001667 399764993 1199294979 93145243369 279435730107 572863234969 1718589704907 133477133747777 400431401243331