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40312544521304 = 231117223120838063
BaseRepresentation
bin10010010101001111111101…
…11001010110110001011000
312021201211201112120202012202
421022213332321112301120
520240440042344140204
6221423154410025332
711330325301455446
oct1112477671266130
9167654645522182
1040312544521304
11119324aa488950
124630a11718248
1319655c2300733
149d51cd69db96
1549d94d85ae1e
hex24a9fee56c58

40312544521304 has 64 divisors (see below), whose sum is σ = 87699433328640. Its totient is φ = 17168671848960.

The previous prime is 40312544521303. The next prime is 40312544521309.

40312544521304 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40312544521303) 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, 60085424 + ... + 60752639.

It is an arithmetic number, because the mean of its divisors is an integer number (1370303645760).

Almost surely, 240312544521304 is an apocalyptic number.

40312544521304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40312544521304 is an abundant number, since it is smaller than the sum of its proper divisors (47386888807336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40312544521304 is a wasteful number, since it uses less digits than its factorization.

40312544521304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120838320 (or 120838316 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 38.

It can be divided in two parts, 4031254 and 4521304, that added together give a palindrome (8552558).

The spelling of 40312544521304 in words is "forty trillion, three hundred twelve billion, five hundred forty-four million, five hundred twenty-one thousand, three hundred four".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 223 374 446 748 892 1496 1784 2453 3791 4906 7582 9812 15164 19624 30328 41701 83402 166804 333608 120838063 241676126 483352252 966704504 1329218693 2054247071 2658437386 4108494142 5316874772 8216988284 10633749544 16433976568 22596717781 26946888049 45193435562 53893776098 90386871124 107787552196 180773742248 215575104392 296415768539 458097096833 592831537078 916194193666 1185663074156 1832388387332 2371326148312 3664776774664 5039068065163 10078136130326 20156272260652 40312544521304