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13042002111144 = 23313180919792591
BaseRepresentation
bin1011110111001001001111…
…1001110010101010101000
31201011210200112212211221120
42331302103321302222220
53202140010020024034
643423225115335240
72514152653556046
oct275622371625250
951153615784846
1013042002111144
11417909a207546
121567764151520
13737b17773c16
1433134447b396
151793bbcebc49
hexbdc93e72aa8

13042002111144 has 128 divisors (see below), whose sum is σ = 32923832832000. Its totient is φ = 4304976166400.

The previous prime is 13042002111077. The next prime is 13042002111163. The reversal of 13042002111144 is 44111120024031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 5033577289 + ... + 5033579879.

It is an arithmetic number, because the mean of its divisors is an integer number (257217444000).

Almost surely, 213042002111144 is an apocalyptic number.

It is an amenable number.

13042002111144 is an abundant number, since it is smaller than the sum of its proper divisors (19881830720856).

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

13042002111144 is a wasteful number, since it uses less digits than its factorization.

13042002111144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5519 (or 5515 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 13042002111144 its reverse (44111120024031), we get a palindrome (57153122135175).

The spelling of 13042002111144 in words is "thirteen trillion, forty-two billion, two million, one hundred eleven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 131 262 393 524 786 809 1048 1572 1618 1979 2427 2591 3144 3236 3958 4854 5182 5937 6472 7773 7916 9708 10364 11874 15546 15832 19416 20728 23748 31092 47496 62184 105979 211958 259249 317937 339421 423916 518498 635874 678842 777747 847832 1018263 1036996 1271748 1357684 1555494 1601011 2036526 2073992 2096119 2543496 2715368 3110988 3202022 4073052 4192238 4803033 5127589 6221976 6288357 6404044 8146104 8384476 9606066 10255178 12576714 12808088 15382767 16768952 19212132 20510356 25153428 30765534 38424264 41020712 50306856 61531068 123062136 209732441 274591589 419464882 549183178 629197323 671714159 823774767 838929764 1098366356 1258394646 1343428318 1647549534 1677859528 2015142477 2196732712 2516789292 2686856636 3295099068 4030284954 4148219501 5033578584 5373713272 6590198136 8060569908 8296439002 12444658503 16121139816 16592878004 24889317006 33185756008 49778634012 99557268024 543416754631 1086833509262 1630250263893 2173667018524 3260500527786 4347334037048 6521001055572 13042002111144