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14130415536 = 2433161715391
BaseRepresentation
bin11010010100011110…
…10000011110110000
31100110202212111001120
431022033100132300
5212414341244121
610254051502240
71010110356516
oct151217203660
940422774046
1014130415536
115aa1284376
1228a42b7980
131442641833
149809444b6
1557a7e4bc6
hex34a3d07b0

14130415536 has 80 divisors (see below), whose sum is σ = 37744631808. Its totient is φ = 4550515200.

The previous prime is 14130415513. The next prime is 14130415543. The reversal of 14130415536 is 63551403141.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 14130415497 and 14130415506.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 910401 + ... + 925791.

Almost surely, 214130415536 is an apocalyptic number.

14130415536 is a gapful number since it is divisible by the number (16) 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 14130415536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18872315904).

14130415536 is an abundant number, since it is smaller than the sum of its proper divisors (23614216272).

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

14130415536 is a wasteful number, since it uses less digits than its factorization.

14130415536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16050 (or 16044 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

Adding to 14130415536 its reverse (63551403141), we get a palindrome (77681818677).

The spelling of 14130415536 in words is "fourteen billion, one hundred thirty million, four hundred fifteen thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 617 744 1234 1488 1851 2468 3702 4936 7404 9872 14808 15391 19127 29616 30782 38254 46173 57381 61564 76508 92346 114762 123128 153016 184692 229524 246256 306032 369384 459048 477121 738768 918096 954242 1431363 1908484 2862726 3816968 5725452 7633936 9496247 11450904 18992494 22901808 28488741 37984988 56977482 75969976 113954964 151939952 227909928 294383657 455819856 588767314 883150971 1177534628 1766301942 2355069256 3532603884 4710138512 7065207768 14130415536