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2144421334431 = 323752330414049
BaseRepresentation
bin11111001101001001011…
…110001100110110011111
321121000010102001210100100
4133031021132030312133
5240113233330200211
64321044503232143
7310633521410145
oct37151136146637
97530112053310
102144421334431
11757497a35a22
122a772a448653
131272ab118c8c
1475b0d38b595
153ababe4e156
hex1f34978cd9f

2144421334431 has 48 divisors (see below), whose sum is σ = 3189131805600. Its totient is φ = 1387517091840.

The previous prime is 2144421334423. The next prime is 2144421334493. The reversal of 2144421334431 is 1344331244412.

2144421334431 is a `hidden beast` number, since 2 + 1 + 4 + 4 + 4 + 213 + 3 + 4 + 431 = 666.

It is not a de Polignac number, because 2144421334431 - 23 = 2144421334423 is a prime.

It is a super-2 number, since 2×21444213344312 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144421334331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 529615495 + ... + 529619543.

It is an arithmetic number, because the mean of its divisors is an integer number (66440245950).

Almost surely, 22144421334431 is an apocalyptic number.

2144421334431 is a deficient number, since it is larger than the sum of its proper divisors (1044710471169).

2144421334431 is a wasteful number, since it uses less digits than its factorization.

2144421334431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7656 (or 7653 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

Adding to 2144421334431 its reverse (1344331244412), we get a palindrome (3488752578843).

The spelling of 2144421334431 in words is "two trillion, one hundred forty-four billion, four hundred twenty-one million, three hundred thirty-four thousand, four hundred thirty-one".

Divisors: 1 3 9 37 111 333 523 1569 3041 4049 4707 9123 12147 19351 27369 36441 58053 112517 149813 174159 337551 449439 1012653 1348317 1590443 2117627 4771329 6352881 12313009 14313987 19058643 36939027 58846391 78352199 110817081 176539173 235056597 455581333 529617519 705169791 1366743999 4100231997 6439703707 19319111121 57957333363 238269037159 714807111477 2144421334431