Search a number
-
+
14130315054 = 234435338273
BaseRepresentation
bin11010010100011101…
…10111111100101110
31100110202200101020000
431022032313330232
5212414330040204
610254045405130
71010106460542
oct151216677456
940422611200
1014130315054
115aa1215929
1228a42697a6
131442607b8b
14980919a22
1557a7c5039
hex34a3b7f2e

14130315054 has 80 divisors (see below), whose sum is σ = 33010865712. Its totient is φ = 4513646592.

The previous prime is 14130315053. The next prime is 14130315091. The reversal of 14130315054 is 45051303141.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14130315053) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 350062 + ... + 388334.

Almost surely, 214130315054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14130315054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16505432856).

14130315054 is an abundant number, since it is smaller than the sum of its proper divisors (18880550658).

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

14130315054 is a wasteful number, since it uses less digits than its factorization.

14130315054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38383 (or 38374 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 14130315054 its reverse (45051303141), we get a palindrome (59181618195).

The spelling of 14130315054 in words is "fourteen billion, one hundred thirty million, three hundred fifteen thousand, fifty-four".

Divisors: 1 2 3 6 9 18 27 43 53 54 81 86 106 129 159 162 258 318 387 477 774 954 1161 1431 2279 2322 2862 3483 4293 4558 6837 6966 8586 13674 20511 38273 41022 61533 76546 114819 123066 184599 229638 344457 369198 688914 1033371 1645739 2028469 2066742 3100113 3291478 4056938 4937217 6085407 6200226 9874434 12170814 14811651 18256221 29623302 36512442 44434953 54768663 87224167 88869906 109537326 133304859 164305989 174448334 261672501 266609718 328611978 523345002 785017503 1570035006 2355052509 4710105018 7065157527 14130315054