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12442144253 = 7112937413673
BaseRepresentation
bin10111001011001110…
…00000110111111101
31012010010002102020112
423211213000313331
5200440142104003
65414342155405
7620220324020
oct134547006775
935103072215
1012442144253
1153052a2150
1224b2a22b65
131233940946
148606331b7
154cc4ab3d8
hex2e59c0dfd

12442144253 has 64 divisors (see below), whose sum is σ = 16887467520. Its totient is φ = 8883302400.

The previous prime is 12442144249. The next prime is 12442144279. The reversal of 12442144253 is 35244124421.

It is not a de Polignac number, because 12442144253 - 22 = 12442144249 is a prime.

It is a super-2 number, since 2×124421442532 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12442141253) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3385625 + ... + 3389297.

It is an arithmetic number, because the mean of its divisors is an integer number (263866680).

Almost surely, 212442144253 is an apocalyptic number.

It is an amenable number.

12442144253 is a deficient number, since it is larger than the sum of its proper divisors (4445323267).

12442144253 is a wasteful number, since it uses less digits than its factorization.

12442144253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3798.

The product of its digits is 30720, while the sum is 32.

Adding to 12442144253 its reverse (35244124421), we get a palindrome (47686268674).

The spelling of 12442144253 in words is "twelve billion, four hundred forty-two million, one hundred forty-four thousand, two hundred fifty-three".

Divisors: 1 7 11 29 37 41 77 203 259 287 319 407 451 1073 1189 1517 2233 2849 3157 3673 7511 8323 10619 11803 13079 16687 25711 40403 43993 82621 91553 106517 116809 135901 150593 282821 307951 483923 745619 951307 1054151 1171687 1494911 1656523 3387461 3941129 4367197 5571941 8201809 10464377 11595661 27587903 30570379 39003587 43352419 48039167 61291351 161586289 303466933 336274169 429039457 1131104023 1777449179 12442144253