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144233010140 = 225191391327281
BaseRepresentation
bin1000011001010011110…
…1010001001111011100
3111210021211212002000112
42012110331101033130
54330342122311030
6150132033545152
713264141233512
oct2062475211734
9453254762015
10144233010140
115619485732a
1223b534151b8
13107a7857b1b
146da38b84b2
153b42671a95
hex2194f513dc

144233010140 has 48 divisors (see below), whose sum is σ = 318865468320. Its totient is φ = 54650787840.

The previous prime is 144233010139. The next prime is 144233010199. The reversal of 144233010140 is 41010332441.

144233010140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1442330101402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 5273300 + ... + 5300580.

It is an arithmetic number, because the mean of its divisors is an integer number (6643030590).

Almost surely, 2144233010140 is an apocalyptic number.

144233010140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144233010140 is an abundant number, since it is smaller than the sum of its proper divisors (174632458180).

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

144233010140 is a wasteful number, since it uses less digits than its factorization.

144233010140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41222 (or 41220 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 144233010140 its reverse (41010332441), we get a palindrome (185243342581).

The spelling of 144233010140 in words is "one hundred forty-four billion, two hundred thirty-three million, ten thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 13913 27281 27826 54562 55652 69565 109124 136405 139130 264347 272810 278260 518339 528694 545620 1036678 1057388 1321735 2073356 2591695 2643470 5183390 5286940 10366780 379560553 759121106 1518242212 1897802765 3795605530 7211650507 7591211060 14423301014 28846602028 36058252535 72116505070 144233010140