Search a number
-
+
14033014132131 = 34295974037519
BaseRepresentation
bin1100110000110101000011…
…0100101000110110100011
31211200112122212211122010000
43030031100310220312203
53314404103104212011
645502402214311043
72645565113011461
oct314152064506643
954615585748100
1014033014132131
114520405701805
1216a7838058483
137aa3cc90ab87
143672b6d1b831
1519506e45d356
hexcc350d28da3

14033014132131 has 20 divisors (see below), whose sum is σ = 21685756197600. Its totient is φ = 9032744727216.

The previous prime is 14033014132127. The next prime is 14033014132139. The reversal of 14033014132131 is 13123141033041.

14033014132131 is a `hidden beast` number, since 1 + 4 + 0 + 3 + 30 + 1 + 413 + 213 + 1 = 666.

It is not a de Polignac number, because 14033014132131 - 22 = 14033014132127 is a prime.

It is a super-2 number, since 2×140330141321312 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 14033014132095 and 14033014132104.

It is not an unprimeable number, because it can be changed into a prime (14033014132139) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2987016411 + ... + 2987021108.

It is an arithmetic number, because the mean of its divisors is an integer number (1084287809880).

Almost surely, 214033014132131 is an apocalyptic number.

14033014132131 is a deficient number, since it is larger than the sum of its proper divisors (7652742065469).

14033014132131 is an equidigital number, since it uses as much as digits as its factorization.

14033014132131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5974037560 (or 5974037551 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 14033014132131 its reverse (13123141033041), we get a palindrome (27156155165172).

The spelling of 14033014132131 in words is "fourteen trillion, thirty-three billion, fourteen million, one hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 27 29 81 87 261 783 2349 5974037519 17922112557 53766337671 161299013013 173247088051 483897039039 519741264153 1559223792459 4677671377377 14033014132131