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714102742116 = 2236156492
BaseRepresentation
bin10100110010000111101…
…01110001110001100100
32112021020001021221000000
422121003311301301210
543144440300221431
61304015420021300
7102410063104521
oct12310365616144
92467201257000
10714102742116
11255938421575
12b6493691830
135245513c76a
14267c42c4148
15138972329e6
hexa643d71c64

714102742116 has 63 divisors (see below), whose sum is σ = 1873782317001. Its totient is φ = 238019036544.

The previous prime is 714102742037. The next prime is 714102742139. The reversal of 714102742116 is 611247201417.

The square root of 714102742116 is 845046.

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

714102742116 is a `hidden beast` number, since 7 + 1 + 410 + 27 + 4 + 211 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 119476687716 + 594626054400 = 345654^2 + 771120^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 45624660 + ... + 45640308.

Almost surely, 2714102742116 is an apocalyptic number.

714102742116 is the 845046-th square number.

It is an amenable number.

714102742116 is an abundant number, since it is smaller than the sum of its proper divisors (1159679574885).

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

714102742116 is an frugal number, since it uses more digits than its factorization.

714102742116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31320 (or 15654 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

Multiplying 714102742116 by its sum of digits (36), we get a square (25707698716176 = 50702762).

714102742116 divided by its sum of digits (36) gives a square (19836187281 = 1408412).

The spelling of 714102742116 in words is "seven hundred fourteen billion, one hundred two million, seven hundred forty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 15649 31298 46947 62596 93894 140841 187788 281682 422523 563364 845046 1267569 1690092 2535138 3802707 5070276 7605414 11408121 15210828 22816242 45632484 244891201 489782402 734673603 979564804 1469347206 2204020809 2938694412 4408041618 6612062427 8816083236 13224124854 19836187281 26448249708 39672374562 59508561843 79344749124 119017123686 178525685529 238034247372 357051371058 714102742116