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13144124324442 = 23107419121340283
BaseRepresentation
bin1011111101000101101011…
…0111000111101001011010
31201112120021121211210112210
42333101122313013221122
53210323131311340232
643542154413015550
72524426440216246
oct277213267075132
951476247753483
1013144124324442
114208434572931
1215835047845b6
13744640b4b177
143362712cb426
1517bd974da5cc
hexbf45adc7a5a

13144124324442 has 64 divisors (see below), whose sum is σ = 26619847672320. Its totient is φ = 4326391210944.

The previous prime is 13144124324407. The next prime is 13144124324459. The reversal of 13144124324442 is 24442342144131.

It is a happy number.

It is a super-2 number, since 2×131441243244422 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13144124324442.

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, 326274433 + ... + 326314715.

It is an arithmetic number, because the mean of its divisors is an integer number (415935119880).

Almost surely, 213144124324442 is an apocalyptic number.

13144124324442 is an abundant number, since it is smaller than the sum of its proper divisors (13475723347878).

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

13144124324442 is a wasteful number, since it uses less digits than its factorization.

13144124324442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42027.

The product of its digits is 294912, while the sum is 39.

Adding to 13144124324442 its reverse (24442342144131), we get a palindrome (37586466468573).

The spelling of 13144124324442 in words is "thirteen trillion, one hundred forty-four billion, one hundred twenty-four million, three hundred twenty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 107 214 321 419 642 838 1213 1257 2426 2514 3639 7278 40283 44833 80566 89666 120849 129791 134499 241698 259582 268998 389373 508247 778746 1016494 1524741 3049482 4310281 8620562 12930843 16878577 25861686 33757154 48863279 50635731 54382429 97726558 101271462 108764858 146589837 163147287 293179674 326294574 1806007739 3612015478 5228370853 5418023217 10456741706 10836046434 15685112559 20473713901 31370225118 40947427802 61421141703 122842283406 2190687387407 4381374774814 6572062162221 13144124324442