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14120300105044 = 22717673186723609
BaseRepresentation
bin1100110101111010001101…
…1110001100110101010100
31211222212221222210110222121
43031132203132030311110
53322321333311330134
650010435403505324
72655105125360560
oct315364336146524
954885858713877
1014120300105044
114554427326101
121700737b28244
137b5700374b63
1436b5d75b46a0
1519747c3d3ab4
hexcd7a378cd54

14120300105044 has 96 divisors (see below), whose sum is σ = 29963551484160. Its totient is φ = 5683833372672.

The previous prime is 14120300105039. The next prime is 14120300105057. The reversal of 14120300105044 is 44050100302141.

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, 598077912 + ... + 598101520.

It is an arithmetic number, because the mean of its divisors is an integer number (312120327960).

Almost surely, 214120300105044 is an apocalyptic number.

14120300105044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14120300105044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14981775742080).

14120300105044 is an abundant number, since it is smaller than the sum of its proper divisors (15843251379116).

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

14120300105044 is a wasteful number, since it uses less digits than its factorization.

14120300105044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26177 (or 26175 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 14120300105044 its reverse (44050100302141), we get a palindrome (58170400407185).

The spelling of 14120300105044 in words is "fourteen trillion, one hundred twenty billion, three hundred million, one hundred five thousand, forty-four".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 476 673 1346 1867 2692 3734 4711 7468 9422 11441 13069 18844 22882 23609 26138 31739 45764 47218 52276 63478 80087 94436 126956 160174 165263 222173 320348 330526 401353 444346 661052 802706 888692 1256491 1605412 2512982 2809471 5025964 5618942 8795437 11237884 15888857 17590874 21360347 31777714 35181748 42720694 44078003 63555428 85441388 88156006 111221999 149522429 176312012 222443998 270110569 299044858 308546021 444887996 540221138 598089716 617092042 749326051 1080442276 1234184084 1498652102 1890773983 2997304204 3781547966 5245282357 7563095932 10490564714 20981129428 29664496019 59328992038 118657984076 207651472133 415302944266 504296432323 830605888532 1008592864646 2017185729292 3530075026261 7060150052522 14120300105044