Search a number
-
+
14043142152 = 2333135001119
BaseRepresentation
bin11010001010000100…
…10101100000001000
31100020200122112111000
431011002111200020
5212230021022102
610241253135000
71005000511254
oct150502254010
940220575430
1014043142152
115a56a95606
12287b02a460
13142a535990
14973107264
15572d0601c
hex345095808

14043142152 has 64 divisors (see below), whose sum is σ = 42009408000. Its totient is φ = 4320965952.

The previous prime is 14043142151. The next prime is 14043142237. The reversal of 14043142152 is 25124134041.

14043142152 is a `hidden beast` number, since 1 + 40 + 431 + 42 + 152 = 666.

It is a super-2 number, since 2×140431421522 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (14043142151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2497752 + ... + 2503367.

It is an arithmetic number, because the mean of its divisors is an integer number (656397000).

Almost surely, 214043142152 is an apocalyptic number.

14043142152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14043142152 is an abundant number, since it is smaller than the sum of its proper divisors (27966265848).

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

14043142152 is a wasteful number, since it uses less digits than its factorization.

14043142152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5001147 (or 5001137 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 14043142152 its reverse (25124134041), we get a palindrome (39167276193).

The spelling of 14043142152 in words is "fourteen billion, forty-three million, one hundred forty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 5001119 10002238 15003357 20004476 30006714 40008952 45010071 60013428 65014547 90020142 120026856 130029094 135030213 180040284 195043641 260058188 270060426 360080568 390087282 520116376 540120852 585130923 780174564 1080241704 1170261846 1560349128 1755392769 2340523692 3510785538 4681047384 7021571076 14043142152