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13144412323014 = 2372235081276209
BaseRepresentation
bin1011111101000110110000…
…0001101111110011000110
31201112121000200202122022120
42333101230001233303012
53210324224023314024
643542243141510410
72524436535162240
oct277215401576306
951477020678276
1013144412323014
11420857209a485
121583585112406
1374468870641b
1433629b659090
1517bdb2928479
hexbf46c06fcc6

13144412323014 has 64 divisors (see below), whose sum is σ = 30185148026880. Its totient is φ = 3737956008960.

The previous prime is 13144412322983. The next prime is 13144412323027. The reversal of 13144412323014 is 41032321444131.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47450542 + ... + 47726750.

It is an arithmetic number, because the mean of its divisors is an integer number (471642937920).

Almost surely, 213144412323014 is an apocalyptic number.

13144412323014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13144412323014 is an abundant number, since it is smaller than the sum of its proper divisors (17040735703866).

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

13144412323014 is a wasteful number, since it uses less digits than its factorization.

13144412323014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281525.

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 13144412323014 its reverse (41032321444131), we get a palindrome (54176733767145).

The spelling of 13144412323014 in words is "thirteen trillion, one hundred forty-four billion, four hundred twelve million, three hundred twenty-three thousand, fourteen".

Divisors: 1 2 3 6 7 14 21 42 223 446 669 1338 1561 3122 4683 5081 9366 10162 15243 30486 35567 71134 106701 213402 276209 552418 828627 1133063 1657254 1933463 2266126 3399189 3866926 5800389 6798378 7931441 11600778 15862882 23794323 47588646 61594607 123189214 184783821 369567642 431162249 862324498 1293486747 1403417929 2586973494 2806835858 4210253787 8420507574 9823925503 19647851006 29471776509 58943553018 312962198167 625924396334 938886594501 1877773189002 2190735387169 4381470774338 6572206161507 13144412323014