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14092718716729 = 1572239112
BaseRepresentation
bin1100110100010011011101…
…1111100011011100111001
31211220020202210112210010001
43031010313133203130321
53321343341442413404
645550034450553001
72653110464423002
oct315046737433471
954806683483101
1014092718716729
114543763356904
1216b731ab98761
137b2c260b3c43
1436a13c4721a9
151968b5caa7a4
hexcd1377e3739

14092718716729 has 9 divisors (see below), whose sum is σ = 14183646177231. Its totient is φ = 14002370548920.

The previous prime is 14092718716723. The next prime is 14092718716789. The reversal of 14092718716729 is 92761781729041.

The square root of 14092718716729 is 3754027.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4130792029225 + 9961926687504 = 2032435^2 + 3156252^2 .

It is a de Polignac number, because none of the positive numbers 2k-14092718716729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14092718716723) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 589370284 + ... + 589394194.

It is an arithmetic number, because the mean of its divisors is an integer number (1575960686359).

Almost surely, 214092718716729 is an apocalyptic number.

14092718716729 is the 3754027-th square number.

14092718716729 is the 1877014-th centered octagonal number.

It is an amenable number.

14092718716729 is a deficient number, since it is larger than the sum of its proper divisors (90927460502).

14092718716729 is an frugal number, since it uses more digits than its factorization.

14092718716729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48136 (or 24068 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 64.

Multiplying 14092718716729 by its sum of digits (64), we get a square (901933997870656 = 300322162).

The spelling of 14092718716729 in words is "fourteen trillion, ninety-two billion, seven hundred eighteen million, seven hundred sixteen thousand, seven hundred twenty-nine".

Divisors: 1 157 23911 24649 3754027 571735921 589382239 89762539597 14092718716729