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13442710451768 = 23132361271339959
BaseRepresentation
bin1100001110011101111111…
…1110110011011000111000
31202121002222121022122121022
43003213133332303120320
53230221132333424033
644331255042002012
72555126616350063
oct303473776633070
952532877278538
1013442710451768
114313026665714
121611354646308
13766846a81b10
143468b87498da
15184a209b4098
hexc39dffb3638

13442710451768 has 128 divisors (see below), whose sum is σ = 28894750617600. Its totient is φ = 5815729497600.

The previous prime is 13442710451759. The next prime is 13442710451783. The reversal of 13442710451768 is 86715401724431.

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, 39372173 + ... + 39712131.

It is an arithmetic number, because the mean of its divisors is an integer number (225740239200).

Almost surely, 213442710451768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13442710451768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14447375308800).

13442710451768 is an abundant number, since it is smaller than the sum of its proper divisors (15452040165832).

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

13442710451768 is a wasteful number, since it uses less digits than its factorization.

13442710451768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340333 (or 340329 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 53.

The spelling of 13442710451768 in words is "thirteen trillion, four hundred forty-two billion, seven hundred ten million, four hundred fifty-one thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 13 23 26 46 52 61 92 104 122 184 244 271 299 488 542 598 793 1084 1196 1403 1586 2168 2392 2806 3172 3523 5612 6233 6344 7046 11224 12466 14092 16531 18239 24932 28184 33062 36478 49864 66124 72956 81029 132248 145912 162058 214903 324116 339959 380213 429806 648232 679918 760426 859612 1359836 1520852 1719224 2719672 3041704 4419467 4942769 7819057 8838934 9885538 15638114 17677868 19771076 20737499 31276228 35355736 39542152 41474998 62552456 82949996 92128889 101647741 165899992 184257778 203295482 269587487 368515556 406590964 476962477 539174974 737031112 813181928 953924954 1078349948 1197675557 1907849908 2118964447 2156699896 2395351114 3815699816 4237928894 4790702228 5619862229 6200512201 8475857788 9581404456 11239724458 12401024402 16951715576 22479448916 24802048804 27546537811 44958897832 49604097608 55093075622 73058208977 110186151244 129256831267 146116417954 220372302488 258513662534 292232835908 517027325068 584465671816 1034054650136 1680338806471 3360677612942 6721355225884 13442710451768