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2144051215325 = 5217181243711437
BaseRepresentation
bin11111001100110011011…
…010010011101111011101
321120222011121121210101022
4133030303122103233131
5240112004102342300
64320544042253525
7310621405426535
oct37146332235735
97528147553338
102144051215325
11757318019a68
122a76464b72a5
1312724c53a3a6
1475ab61644c5
153ab896de285
hex1f333693bdd

2144051215325 has 48 divisors (see below), whose sum is σ = 2831974773264. Its totient is φ = 1604626329600.

The previous prime is 2144051215309. The next prime is 2144051215337. The reversal of 2144051215325 is 5235121504412.

It can be written as a sum of positive squares in 24 ways, for example, as 1425172765636 + 718878449689 = 1193806^2 + 847867^2 .

It is not a de Polignac number, because 2144051215325 - 24 = 2144051215309 is a prime.

It is a super-2 number, since 2×21440512153252 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 187460507 + ... + 187471943.

It is an arithmetic number, because the mean of its divisors is an integer number (58999474443).

Almost surely, 22144051215325 is an apocalyptic number.

2144051215325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2144051215325 is a deficient number, since it is larger than the sum of its proper divisors (687923557939).

2144051215325 is a wasteful number, since it uses less digits than its factorization.

2144051215325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14082 (or 14077 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

Adding to 2144051215325 its reverse (5235121504412), we get a palindrome (7379172719737).

The spelling of 2144051215325 in words is "two trillion, one hundred forty-four billion, fifty-one million, two hundred fifteen thousand, three hundred twenty-five".

Divisors: 1 5 17 25 85 181 425 905 2437 3077 4525 11437 12185 15385 41429 57185 60925 76925 194429 207145 285925 441097 972145 1035725 2070097 2205485 4860725 7498649 10350485 11027425 27871969 35191649 37493245 51752425 139359845 175958245 187466225 473823473 696799225 879791225 2369117365 5044826389 11845586825 25224131945 85762048613 126120659725 428810243065 2144051215325