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14035125342051 = 351173362319853
BaseRepresentation
bin1100110000111100111010…
…1010010000111101100011
31211200202010000110012200000
43030033032222100331203
53314422414041421201
645503351513031043
72646001330004442
oct314171652207543
954622100405600
1014035125342051
1145212993a6aa0
1216a81270b5483
137aa678122208
14367437484d59
1519514498bd86
hexcc3cea90f63

14035125342051 has 96 divisors (see below), whose sum is σ = 23256832015872. Its totient is φ = 8386876028160.

The previous prime is 14035125342031. The next prime is 14035125342089. The reversal of 14035125342051 is 15024352153041.

14035125342051 is a `hidden beast` number, since 1 + 4 + 0 + 3 + 51 + 2 + 534 + 20 + 51 = 666.

It is not a de Polignac number, because 14035125342051 - 214 = 14035125325667 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14035125341997 and 14035125342015.

It is not an unprimeable number, because it can be changed into a prime (14035125342031) 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 95 ways as a sum of consecutive naturals, for example, 706942441 + ... + 706962293.

It is an arithmetic number, because the mean of its divisors is an integer number (242258666832).

Almost surely, 214035125342051 is an apocalyptic number.

14035125342051 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

14035125342051 is a deficient number, since it is larger than the sum of its proper divisors (9221706673821).

14035125342051 is a wasteful number, since it uses less digits than its factorization.

14035125342051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23575 (or 23563 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 14035125342051 its reverse (15024352153041), we get a palindrome (29059477495092).

The spelling of 14035125342051 in words is "fourteen trillion, thirty-five billion, one hundred twenty-five million, three hundred forty-two thousand, fifty-one".

Divisors: 1 3 9 11 27 33 73 81 99 219 243 297 657 803 891 1971 2409 2673 3623 5913 7227 10869 17739 19853 21681 32607 39853 59559 65043 97821 119559 178677 195129 218383 264479 293463 358677 536031 655149 793437 880389 1076031 1449269 1608093 1965447 2380311 2909269 3228093 4347807 4824279 5896341 7140933 8727807 9684279 13043421 15941959 17689023 21422799 26183421 39130263 47825877 53067069 64268397 71927419 78550263 117390789 143477631 215782257 235650789 352172367 430432893 647346771 706952367 791201609 1291298679 1942040313 2373604827 3873896037 5250701587 5826120939 7120814481 15752104761 17478362817 21362443443 47256314283 57757717457 64087330329 141768942849 173273152371 192261990987 425306828547 519819457113 1275920485641 1559458371339 4678375114017 14035125342051