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14430139836 = 2237191092761
BaseRepresentation
bin11010111000001101…
…00111010110111100
31101020122212001111120
431130012213112330
5214023103433321
610343515550540
71020410110350
oct153406472674
941218761446
1014430139836
11613548a702
12296875b450
13148c773ca8
149ac685460
15596c9bec6
hex35c1a75bc

14430139836 has 144 divisors (see below), whose sum is σ = 40934396160. Its totient is φ = 3864983040.

The previous prime is 14430139793. The next prime is 14430139879. The reversal of 14430139836 is 63893103441.

It is an interprime number because it is at equal distance from previous prime (14430139793) and next prime (14430139879).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 47 ways as a sum of consecutive naturals, for example, 18961696 + ... + 18962456.

It is an arithmetic number, because the mean of its divisors is an integer number (284266640).

Almost surely, 214430139836 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14430139836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20467198080).

14430139836 is an abundant number, since it is smaller than the sum of its proper divisors (26504256324).

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

14430139836 is a wasteful number, since it uses less digits than its factorization.

14430139836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 14430139836 in words is "fourteen billion, four hundred thirty million, one hundred thirty-nine thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 109 114 133 218 228 266 327 399 436 532 654 761 763 798 1308 1522 1526 1596 2071 2283 2289 3044 3052 4142 4566 4578 5327 6213 8284 9132 9156 10654 11881 12426 14459 14497 15981 21308 23762 24852 28918 28994 31962 35643 43377 43491 47524 57836 57988 63924 71286 82949 83167 86754 86982 101213 142572 165898 166334 173508 173964 202426 225739 248847 249501 303639 331796 332668 404852 451478 497694 499002 580643 607278 677217 902956 995388 998004 1161286 1214556 1354434 1576031 1580173 1741929 2322572 2708868 3152062 3160346 3483858 4728093 4740519 6304124 6320692 6967716 9041441 9456186 9481038 11032217 18082882 18912372 18962076 22064434 27124323 33096651 36165764 44128868 54248646 63290087 66193302 108497292 126580174 132386604 171787379 189870261 253160348 343574758 379740522 515362137 687149516 759481044 1030724274 1202511653 2061448548 2405023306 3607534959 4810046612 7215069918 14430139836