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14436775144 = 23113137281509
BaseRepresentation
bin11010111000111111…
…11011010011101000
31101021010100011102201
431130133323103220
5214031303301034
610344314105544
71020520364311
oct153437732350
941233304381
1014436775144
116139201930
12296aa1b2b4
131490c581cc
149ad4d1608
1559765d014
hex35c7fb4e8

14436775144 has 128 divisors (see below), whose sum is σ = 31479321600. Its totient is φ = 6144768000.

The previous prime is 14436775127. The next prime is 14436775153. The reversal of 14436775144 is 44157763441.

It is a junction number, because it is equal to n+sod(n) for n = 14436775094 and 14436775103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28362762 + ... + 28363270.

It is an arithmetic number, because the mean of its divisors is an integer number (245932200).

Almost surely, 214436775144 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 14436775144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15739660800).

14436775144 is an abundant number, since it is smaller than the sum of its proper divisors (17042546456).

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

14436775144 is a wasteful number, since it uses less digits than its factorization.

14436775144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 871 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 46.

The spelling of 14436775144 in words is "fourteen billion, four hundred thirty-six million, seven hundred seventy-five thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 31 37 44 62 74 88 124 148 248 281 296 341 407 509 562 682 814 1018 1124 1147 1364 1628 2036 2248 2294 2728 3091 3256 4072 4588 5599 6182 8711 9176 10397 11198 12364 12617 15779 17422 18833 20794 22396 24728 25234 31558 34844 37666 41588 44792 50468 63116 69688 75332 83176 95821 100936 114367 126232 143029 150664 173569 191642 207163 228734 286058 322307 347138 383284 414326 457468 572116 583823 644614 694276 766568 828652 914936 1144232 1167646 1289228 1388552 1573319 1657304 2335292 2578456 3146638 3545377 4433899 4670584 5292073 6293276 6422053 7090754 8867798 10584146 12586552 12844106 14181508 17735596 21168292 25688212 28363016 35471192 42336584 48772889 51376424 58212803 97545778 116425606 164054263 195091556 232851212 328108526 390183112 465702424 656217052 1312434104 1804596893 3609193786 7218387572 14436775144