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13244253250144 = 257229291261727
BaseRepresentation
bin1100000010111010101100…
…0000101010001001100000
31201220010201210002020121111
43000232223000222021200
53213443212313001034
644100154223233104
72534602641102400
oct300565300521140
951803653066544
1013244253250144
1142469467567a4
12159a9a9748794
13750c0a28b3b7
1433b04d50c800
1517e7a7be0364
hexc0bab02a260

13244253250144 has 72 divisors (see below), whose sum is σ = 31377625957440. Its totient is φ = 5480380636416.

The previous prime is 13244253250139. The next prime is 13244253250153. The reversal of 13244253250144 is 44105235244231.

It is a junction number, because it is equal to n+sod(n) for n = 13244253250097 and 13244253250106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 145585392 + ... + 145676335.

It is an arithmetic number, because the mean of its divisors is an integer number (435800360520).

Almost surely, 213244253250144 is an apocalyptic number.

13244253250144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13244253250144 is an abundant number, since it is smaller than the sum of its proper divisors (18133372707296).

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

13244253250144 is a wasteful number, since it uses less digits than its factorization.

13244253250144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291261780 (or 291261765 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 40.

Adding to 13244253250144 its reverse (44105235244231), we get a palindrome (57349488494375).

The spelling of 13244253250144 in words is "thirteen trillion, two hundred forty-four billion, two hundred fifty-three million, two hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 49 56 58 98 112 116 196 203 224 232 392 406 464 784 812 928 1421 1568 1624 2842 3248 5684 6496 11368 22736 45472 291261727 582523454 1165046908 2038832089 2330093816 4077664178 4660187632 8155328356 8446590083 9320375264 14271824623 16310656712 16893180166 28543649246 32621313424 33786360332 57087298492 59126130581 65242626848 67572720664 114174596984 118252261162 135145441328 228349193968 236504522324 270290882656 413882914067 456698387936 473009044648 827765828134 946018089296 1655531656268 1892036178592 3311063312536 6622126625072 13244253250144