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14004000582 = 23112131639103
BaseRepresentation
bin11010000101011010…
…00001011101000110
31100010221222221100020
431002231001131012
5212140011004312
610233334200010
71004014020015
oct150255013506
940127887306
1014004000582
115a36990a00
122869ab3006
1314223acaa0
1496bc38a7c
1556e67378c
hex342b41746

14004000582 has 96 divisors (see below), whose sum is σ = 33360843264. Its totient is φ = 3892743360.

The previous prime is 14004000557. The next prime is 14004000587. The reversal of 14004000582 is 28500040041.

It is a super-2 number, since 2×140040005822 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14004000587) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1533843 + ... + 1542945.

It is an arithmetic number, because the mean of its divisors is an integer number (347508784).

Almost surely, 214004000582 is an apocalyptic number.

It is a pronic number, being equal to 118338×118339.

It is a practical number, because each smaller number is the sum of distinct divisors of 14004000582, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16680421632).

14004000582 is an abundant number, since it is smaller than the sum of its proper divisors (19356842682).

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

14004000582 is a wasteful number, since it uses less digits than its factorization.

14004000582 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9306 (or 9295 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The spelling of 14004000582 in words is "fourteen billion, four million, five hundred eighty-two", and thus it is an aban number.

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 121 143 163 242 286 326 363 429 489 726 858 978 1573 1793 2119 3146 3586 4238 4719 5379 6357 9103 9438 10758 12714 18206 19723 23309 27309 39446 46618 54618 59169 69927 100133 118338 118339 139854 200266 236678 256399 300399 355017 512798 600798 710034 769197 1101463 1301729 1483789 1538394 2202926 2603458 2967578 3304389 3905187 4451367 6608778 7810374 8902734 14319019 16321679 19289257 28638038 32643358 38578514 42957057 48965037 57867771 85914114 97930074 115735542 179538469 212181827 359076938 424363654 538615407 636545481 1077230814 1273090962 2334000097 4668000194 7002000291 14004000582