Search a number
-
+
14014176230385 = 325913734084069
BaseRepresentation
bin1100101111101110110111…
…1111101111101111110001
31211121202001001000001222100
43023323231333233233301
53314102013103333020
645450005040531013
72644330231334232
oct313735577575761
954552031001870
1014014176230385
114513419151371
1216a405b320a69
137a86b9c16c56
1436640b0db089
1519481a742a90
hexcbeedfefbf1

14014176230385 has 24 divisors (see below), whose sum is σ = 24293898069480. Its totient is φ = 7473409085952.

The previous prime is 14014176230381. The next prime is 14014176230419. The reversal of 14014176230385 is 58303267141041.

14014176230385 is a `hidden beast` number, since 1 + 4 + 0 + 1 + 4 + 17 + 623 + 0 + 3 + 8 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20531737521 + 13993644492864 = 143289^2 + 3740808^2 .

It is not a de Polignac number, because 14014176230385 - 22 = 14014176230381 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 14014176230385.

It is not an unprimeable number, because it can be changed into a prime (14014176230381) 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, 16630870 + ... + 17453199.

It is an arithmetic number, because the mean of its divisors is an integer number (1012245752895).

Almost surely, 214014176230385 is an apocalyptic number.

14014176230385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14014176230385 is a deficient number, since it is larger than the sum of its proper divisors (10279721839095).

14014176230385 is a wasteful number, since it uses less digits than its factorization.

14014176230385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34093217 (or 34093214 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 14014176230385 in words is "fourteen trillion, fourteen billion, one hundred seventy-six million, two hundred thirty thousand, three hundred eighty-five".

Divisors: 1 3 5 9 15 45 9137 27411 45685 82233 137055 411165 34084069 102252207 170420345 306756621 511261035 1533783105 311426138453 934278415359 1557130692265 2802835246077 4671392076795 14014176230385