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15242440410405 = 3351331327748087
BaseRepresentation
bin1101110111001110100000…
…1111110000010100100101
31222222011101212202021222000
43131303220033300110211
53444213004221113110
652230140324555513
73132141611525415
oct335635017602445
958864355667860
1015242440410405
11494731227321a
121862106552b99
13867482088420
143a9a49302645
151b675697a1c0
hexddce83f0525

15242440410405 has 64 divisors (see below), whose sum is σ = 29275342763520. Its totient is φ = 7479996046848.

The previous prime is 15242440410403. The next prime is 15242440410479. The reversal of 15242440410405 is 50401404424251.

15242440410405 is a `hidden beast` number, since 1 + 5 + 2 + 4 + 244 + 0 + 4 + 1 + 0 + 405 = 666.

It is not a de Polignac number, because 15242440410405 - 21 = 15242440410403 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 15242440410405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15242440410403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13324729 + ... + 14423358.

It is an arithmetic number, because the mean of its divisors is an integer number (457427230680).

Almost surely, 215242440410405 is an apocalyptic number.

15242440410405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

15242440410405 is a deficient number, since it is larger than the sum of its proper divisors (14032902353115).

15242440410405 is a wasteful number, since it uses less digits than its factorization.

15242440410405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27748427 (or 27748421 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

Adding to 15242440410405 its reverse (50401404424251), we get a palindrome (65643844834656).

The spelling of 15242440410405 in words is "fifteen trillion, two hundred forty-two billion, four hundred forty million, four hundred ten thousand, four hundred five".

Divisors: 1 3 5 9 13 15 27 39 45 65 117 135 195 313 351 585 939 1565 1755 2817 4069 4695 8451 12207 14085 20345 36621 42255 61035 109863 183105 549315 27748087 83244261 138740435 249732783 360725131 416221305 749198349 1082175393 1248663915 1803625655 3246526179 3745991745 5410876965 8685151231 9739578537 16232630895 26055453693 43425756155 48697892685 78166361079 112906966003 130277268465 234499083237 338720898009 390831805395 564534830015 1016162694027 1172495416185 1693604490045 3048488082081 5080813470135 15242440410405