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1314241131444 = 223251436335037
BaseRepresentation
bin10011000111111110111…
…000000011001110110100
311122122021201112212221220
4103013332320003032310
5133013031212201234
62443430512310340
7163644056204133
oct23077670031664
94578251485856
101314241131444
1146740394700a
121928608423b0
1396c17662137
1447876aad91a
15242be2d9a49
hex131fee033b4

1314241131444 has 24 divisors (see below), whose sum is σ = 3078780028128. Its totient is φ = 436335036000.

The previous prime is 1314241131443. The next prime is 1314241131487. The reversal of 1314241131444 is 4441311424131.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314241131443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 218164507 + ... + 218170530.

It is an arithmetic number, because the mean of its divisors is an integer number (128282501172).

Almost surely, 21314241131444 is an apocalyptic number.

It is an amenable number.

1314241131444 is an abundant number, since it is smaller than the sum of its proper divisors (1764538896684).

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

1314241131444 is a wasteful number, since it uses less digits than its factorization.

1314241131444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436335295 (or 436335293 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

Adding to 1314241131444 its reverse (4441311424131), we get a palindrome (5755552555575).

The spelling of 1314241131444 in words is "one trillion, three hundred fourteen billion, two hundred forty-one million, one hundred thirty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 251 502 753 1004 1506 3012 436335037 872670074 1309005111 1745340148 2618010222 5236020444 109520094287 219040188574 328560282861 438080377148 657120565722 1314241131444