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14233121120 = 255293067483
BaseRepresentation
bin11010100000101110…
…00011000101100000
31100201221010110122002
431100113003011200
5213122134333440
610312201103132
71012465350641
oct152027030540
940657113562
1014233121120
116044253619
122912787aa8
13145a9c197a
1499043b6c8
15584831115
hex3505c3160

14233121120 has 48 divisors (see below), whose sum is σ = 34785268560. Its totient is φ = 5496927744.

The previous prime is 14233121107. The next prime is 14233121213. The reversal of 14233121120 is 2112133241.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 14233121092 and 14233121101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1529102 + ... + 1538381.

It is an arithmetic number, because the mean of its divisors is an integer number (724693095).

Almost surely, 214233121120 is an apocalyptic number.

14233121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14233121120 is an abundant number, since it is smaller than the sum of its proper divisors (20552147440).

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

14233121120 is a wasteful number, since it uses less digits than its factorization.

14233121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3067527 (or 3067519 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 14233121120 its reverse (2112133241), we get a palindrome (16345254361).

It can be divided in two parts, 14233121 and 120, that added together give a palindrome (14233241).

The spelling of 14233121120 in words is "fourteen billion, two hundred thirty-three million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1160 2320 4640 3067483 6134966 12269932 15337415 24539864 30674830 49079728 61349660 88957007 98159456 122699320 177914014 245398640 355828028 444785035 490797280 711656056 889570070 1423312112 1779140140 2846624224 3558280280 7116560560 14233121120