Search a number
-
+
14004450120 = 2335116703751
BaseRepresentation
bin11010000101011101…
…01111001101001000
31100010222211202222210
431002232233031020
5212140114400440
610233351545120
71004020601433
oct150256571510
940128752883
1014004450120
115a37168721
12286a08b1a0
13142250959b
1496bd1481a
1556e711a80
hex342baf348

14004450120 has 32 divisors (see below), whose sum is σ = 42013350720. Its totient is φ = 3734520000.

The previous prime is 14004450107. The next prime is 14004450133. The reversal of 14004450120 is 2105440041.

It is a happy number.

14004450120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14004450107) and next prime (14004450133).

It is a super-2 number, since 2×140044501202 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58351756 + ... + 58351995.

It is an arithmetic number, because the mean of its divisors is an integer number (1312917210).

Almost surely, 214004450120 is an apocalyptic number.

14004450120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14004450120 is an abundant number, since it is smaller than the sum of its proper divisors (28008900600).

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

14004450120 is a wasteful number, since it uses less digits than its factorization.

14004450120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116703765 (or 116703761 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 14004450120 its reverse (2105440041), we get a palindrome (16109890161).

The spelling of 14004450120 in words is "fourteen billion, four million, four hundred fifty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 116703751 233407502 350111253 466815004 583518755 700222506 933630008 1167037510 1400445012 1750556265 2334075020 2800890024 3501112530 4668150040 7002225060 14004450120