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14107441137348 = 223134791232915313
BaseRepresentation
bin1100110101001010010100…
…0001001000011011000100
31211221122202211101020110210
43031102211001020123010
53322114014412343343
650000511411315420
72654141354063046
oct315224501103304
954848684336423
1014107441137348
114549a28818379
1216ba1495abb70
137b4431282330
1436ab3787ba96
15196e7853e333
hexcd4a50486c4

14107441137348 has 96 divisors (see below), whose sum is σ = 35528676019200. Its totient is φ = 4331054813184.

The previous prime is 14107441137347. The next prime is 14107441137371. The reversal of 14107441137348 is 84373114470141.

It is a junction number, because it is equal to n+sod(n) for n = 14107441137297 and 14107441137306.

It is not an unprimeable number, because it can be changed into a prime (14107441137341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 921264540 + ... + 921279852.

It is an arithmetic number, because the mean of its divisors is an integer number (370090375200).

Almost surely, 214107441137348 is an apocalyptic number.

It is an amenable number.

14107441137348 is an abundant number, since it is smaller than the sum of its proper divisors (21421234881852).

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

14107441137348 is a wasteful number, since it uses less digits than its factorization.

14107441137348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28141 (or 28139 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The spelling of 14107441137348 in words is "fourteen trillion, one hundred seven billion, four hundred forty-one million, one hundred thirty-seven thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 479 958 1437 1916 2874 5748 6227 12329 12454 15313 18681 24658 24908 30626 36987 37362 45939 49316 61252 73974 74724 91878 147948 160277 183756 199069 320554 398138 480831 597207 641108 796276 961662 1194414 1923324 2388828 5905591 7334927 11811182 14669854 17716773 22004781 23622364 29339708 35433546 44009562 70867092 76772683 88019124 95354051 153545366 188793977 190708102 230318049 286062153 307090732 377587954 381416204 460636098 566381931 572124306 755175908 921272196 1132763862 1144248612 2265527724 2454321701 4908643402 7362965103 9817286804 14725930206 29451860412 90432314983 180864629966 271296944949 361729259932 542593889898 1085187779796 1175620094779 2351240189558 3526860284337 4702480379116 7053720568674 14107441137348