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144013323104 = 257738807077
BaseRepresentation
bin1000011000011111011…
…1001110101101100000
3111202201112110211001122
42012013313032231200
54324414402314404
6150054145151412
713255533022520
oct2060767165540
9452645424048
10144013323104
11560918481a2
1223ab192b568
13107711999b1
146d8264d680
153b2d2293be
hex2187dceb60

144013323104 has 48 divisors (see below), whose sum is σ = 328468781088. Its totient is φ = 60874509312.

The previous prime is 144013323101. The next prime is 144013323119. The reversal of 144013323104 is 401323310441.

It is a happy number.

144013323104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144013323101) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4387187 + ... + 4419890.

It is an arithmetic number, because the mean of its divisors is an integer number (6843099606).

Almost surely, 2144013323104 is an apocalyptic number.

144013323104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

144013323104 is an abundant number, since it is smaller than the sum of its proper divisors (184455457984).

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

144013323104 is an equidigital number, since it uses as much as digits as its factorization.

144013323104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8807167 (or 8807159 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 144013323104 its reverse (401323310441), we get a palindrome (545336633545).

The spelling of 144013323104 in words is "one hundred forty-four billion, thirteen million, three hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 73 112 146 224 292 511 584 1022 1168 2044 2336 4088 8176 16352 8807077 17614154 35228308 61649539 70456616 123299078 140913232 246598156 281826464 493196312 642916621 986392624 1285833242 1972785248 2571666484 4500416347 5143332968 9000832694 10286665936 18001665388 20573331872 36003330776 72006661552 144013323104