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14273186382 = 23272136120407
BaseRepresentation
bin11010100101011111…
…11000101001001110
31100211201111222211200
431102233320221032
5213212413431012
610320151530330
71013463040200
oct152257705116
940751458750
1014273186382
116064929204
1229240899a6
1314660ac120
149958aa770
155880e73dc
hex352bf8a4e

14273186382 has 144 divisors (see below), whose sum is σ = 39378542112. Its totient is φ = 3702464640.

The previous prime is 14273186357. The next prime is 14273186393. The reversal of 14273186382 is 28368137241.

14273186382 is a `hidden beast` number, since 1 + 4 + 2 + 7 + 3 + 1 + 8 + 638 + 2 = 666.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 689223 + ... + 709629.

It is an arithmetic number, because the mean of its divisors is an integer number (273462098).

Almost surely, 214273186382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14273186382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19689271056).

14273186382 is an abundant number, since it is smaller than the sum of its proper divisors (25105355730).

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

14273186382 is a wasteful number, since it uses less digits than its factorization.

14273186382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20503 (or 20493 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 14273186382 in words is "fourteen billion, two hundred seventy-three million, one hundred eighty-six thousand, three hundred eighty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 61 63 78 91 98 117 122 126 147 182 183 234 273 294 366 427 441 546 549 637 793 819 854 882 1098 1274 1281 1586 1638 1911 2379 2562 2989 3822 3843 4758 5551 5733 5978 7137 7686 8967 11102 11466 14274 16653 17934 20407 26901 33306 38857 40814 49959 53802 61221 77714 99918 116571 122442 142849 183663 233142 265291 285698 349713 367326 428547 530582 699426 795873 857094 999943 1244827 1285641 1591746 1857037 1999886 2387619 2489654 2571282 2999829 3714074 3734481 4775238 5571111 5999658 7468962 8713789 8999487 11142222 11203443 12999259 16182751 16713333 17427578 17998974 22406886 25998518 26141367 32365502 33426666 38997777 48548253 52282734 60996523 77995554 78424101 97096506 113279257 116993331 121993046 145644759 156848202 182989569 226558514 233986662 291289518 339837771 365979138 548968707 679675542 792954799 1019513313 1097937414 1585909598 2039026626 2378864397 4757728794 7136593191 14273186382