Search a number
-
+
144120453420 = 22356473712531
BaseRepresentation
bin1000011000111000111…
…1111001100100101100
3111210000000001121020010
42012032033321210230
54330124314002140
6150112533253220
713261303433016
oct2061617714454
9453000047203
10144120453420
1156137269849
1223b21794210
131078a438b08
146d929791b6
153b3783b880
hex218e3f992c

144120453420 has 48 divisors (see below), whose sum is σ = 404161083648. Its totient is φ = 38372710080.

The previous prime is 144120453353. The next prime is 144120453457. The reversal of 144120453420 is 24354021441.

144120453420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1817446 + ... + 1895085.

It is an arithmetic number, because the mean of its divisors is an integer number (8420022576).

Almost surely, 2144120453420 is an apocalyptic number.

144120453420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144120453420 is an abundant number, since it is smaller than the sum of its proper divisors (260040630228).

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

144120453420 is a wasteful number, since it uses less digits than its factorization.

144120453420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3713190 (or 3713188 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 144120453420 its reverse (24354021441), we get a palindrome (168474474861).

The spelling of 144120453420 in words is "one hundred forty-four billion, one hundred twenty million, four hundred fifty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 647 1294 1941 2588 3235 3882 6470 7764 9705 12940 19410 38820 3712531 7425062 11137593 14850124 18562655 22275186 37125310 44550372 55687965 74250620 111375930 222751860 2402007557 4804015114 7206022671 9608030228 12010037785 14412045342 24020075570 28824090684 36030113355 48040151140 72060226710 144120453420