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40315134502401 = 31123419160179181
BaseRepresentation
bin10010010101010100110010…
…10001010110011000000001
312021202002102001002102100120
421022222121101112120001
520241010343413034101
6221424303410210453
711330446421110653
oct1112523121263001
9167662361072316
1040315134502401
111193360945aaa0
124631414b83a29
131965915a76325
149d53976546d3
1549da50e0cb36
hex24aa99456601

40315134502401 has 64 divisors (see below), whose sum is σ = 61374893045760. Its totient is φ = 23300456960000.

The previous prime is 40315134502387. The next prime is 40315134502429. The reversal of 40315134502401 is 10420543151304.

It is not a de Polignac number, because 40315134502401 - 25 = 40315134502369 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (40315134502451) 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, 509112031 + ... + 509191211.

It is an arithmetic number, because the mean of its divisors is an integer number (958982703840).

Almost surely, 240315134502401 is an apocalyptic number.

It is an amenable number.

40315134502401 is a deficient number, since it is larger than the sum of its proper divisors (21059758543359).

40315134502401 is a wasteful number, since it uses less digits than its factorization.

40315134502401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81238.

The product of its (nonzero) digits is 28800, while the sum is 33.

Adding to 40315134502401 its reverse (10420543151304), we get a palindrome (50735677653705).

The spelling of 40315134502401 in words is "forty trillion, three hundred fifteen billion, one hundred thirty-four million, five hundred two thousand, four hundred one".

Divisors: 1 3 11 23 33 69 253 419 759 1257 1601 4609 4803 9637 13827 17611 28911 36823 52833 79181 106007 110469 237543 318021 405053 670819 870991 1215159 1821163 2012457 2612973 5463489 7379009 15428837 20032793 22137027 33176839 46286511 60098379 99530517 126768781 169717207 364945229 380306343 509151621 763067297 1094835687 1394456591 2289201891 2915681963 4183369773 8393740267 8747045889 25181220801 32072501593 53116119239 96217504779 159348357717 584277311629 1221670742497 1752831934887 3665012227491 13438378167467 40315134502401