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14030004131312 = 241367217218731
BaseRepresentation
bin1100110000101001110101…
…1010011001010111110000
31211200020220002222202020012
43030022131122121113300
53314331422024200222
645501143411434052
72645430403304051
oct314123532312760
954606802882205
1014030004131312
11451a100630624
1216a7137bb5928
137aa0401345c0
143670ad270728
15194e450911e2
hexcc29d6995f0

14030004131312 has 120 divisors (see below), whose sum is σ = 29738265347952. Its totient is φ = 6374302387200.

The previous prime is 14030004131309. The next prime is 14030004131317. The reversal of 14030004131312 is 21313140003041.

14030004131312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14030004131317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1606913987 + ... + 1606922717.

Almost surely, 214030004131312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14030004131312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14869132673976).

14030004131312 is an abundant number, since it is smaller than the sum of its proper divisors (15708261216640).

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

14030004131312 is a wasteful number, since it uses less digits than its factorization.

14030004131312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10607 (or 10534 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 14030004131312 its reverse (21313140003041), we get a palindrome (35343144134353).

The spelling of 14030004131312 in words is "fourteen trillion, thirty billion, four million, one hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 52 67 104 134 208 268 536 871 1072 1721 1742 3442 3484 4489 6884 6968 8731 8978 13768 13936 17462 17956 22373 27536 34924 35912 44746 58357 69848 71824 89492 113503 115307 116714 139696 178984 227006 230614 233428 357968 454012 461228 466856 584977 908024 922456 933712 1169954 1498991 1816048 1844912 2339908 2997982 4679816 5995964 7604701 7725569 9359632 11991928 15026051 15209402 15451138 23983856 30052102 30418804 30902276 39193459 60104204 60837608 61804552 78386918 100432397 120208408 121675216 123609104 156773836 195338663 200864794 240416816 313547672 390677326 401729588 509514967 627095344 781354652 803459176 1006745417 1019029934 1562709304 1606918352 2013490834 2038059868 3125418608 4026981668 4076119736 8053963336 8152239472 13087690421 16107926672 26175380842 52350761684 67451942939 104701523368 134903885878 209403046736 269807771756 539615543512 876875258207 1079231087024 1753750516414 3507501032828 7015002065656 14030004131312