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14115101412114 = 2331673115032843
BaseRepresentation
bin1100110101100110110110…
…0110110000101100010010
31211222101112200112111222000
43031121231212300230102
53322230211430141424
650004215453454430
72654532241251453
oct315315546605422
954871480474860
1014115101412114
1145521a984916a
1216bb726aa1416
137b50822c8bb1
1436b262d9112a
15197275cd03c9
hexcd66d9b0b12

14115101412114 has 64 divisors (see below), whose sum is σ = 31656186132480. Its totient is φ = 4661820887760.

The previous prime is 14115101412079. The next prime is 14115101412161. The reversal of 14115101412114 is 41121410151141.

14115101412114 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 510 + 14 + 121 + 14 = 666.

14115101412114 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 288177 + ... + 5321019.

It is an arithmetic number, because the mean of its divisors is an integer number (494627908320).

Almost surely, 214115101412114 is an apocalyptic number.

14115101412114 is an abundant number, since it is smaller than the sum of its proper divisors (17541084720366).

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

14115101412114 is a wasteful number, since it uses less digits than its factorization.

14115101412114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5033332 (or 5033326 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 27.

Adding to 14115101412114 its reverse (41121410151141), we get a palindrome (55236511563255).

The spelling of 14115101412114 in words is "fourteen trillion, one hundred fifteen billion, one hundred one million, four hundred twelve thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 167 311 334 501 622 933 1002 1503 1866 2799 3006 4509 5598 8397 9018 16794 51937 103874 155811 311622 467433 934866 1402299 2804598 5032843 10065686 15098529 30197058 45295587 90591174 135886761 271773522 840484781 1565214173 1680969562 2521454343 3130428346 4695642519 5042908686 7564363029 9391285038 14086927557 15128726058 22693089087 28173855114 42260782671 45386178174 84521565342 261390766891 522781533782 784172300673 1568344601346 2352516902019 4705033804038 7057550706057 14115101412114