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14451464544 = 2531192914731
BaseRepresentation
bin11010111010101111…
…11101100101100000
31101022010222110111120
431131113331211200
5214044033331134
610350001012240
71021056264456
oct153527754540
941263873446
1014451464544
116146525230
122973924080
131493ccc36a
149b14369d6
15598ab0649
hex35d5fd960

14451464544 has 96 divisors (see below), whose sum is σ = 41431098240. Its totient is φ = 4374220800.

The previous prime is 14451464539. The next prime is 14451464557. The reversal of 14451464544 is 44546415441.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 14451464496 and 14451464505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 973659 + ... + 988389.

It is an arithmetic number, because the mean of its divisors is an integer number (431573940).

Almost surely, 214451464544 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 14451464544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20715549120).

14451464544 is an abundant number, since it is smaller than the sum of its proper divisors (26979633696).

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

14451464544 is a wasteful number, since it uses less digits than its factorization.

14451464544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15684 (or 15676 counting only the distinct ones).

The product of its digits is 614400, while the sum is 42.

Adding to 14451464544 its reverse (44546415441), we get a palindrome (58997879985).

The spelling of 14451464544 in words is "fourteen billion, four hundred fifty-one million, four hundred sixty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 929 1056 1858 2787 3716 5574 7432 10219 11148 14731 14864 20438 22296 29462 29728 30657 40876 44193 44592 58924 61314 81752 88386 89184 117848 122628 162041 163504 176772 235696 245256 324082 327008 353544 471392 486123 490512 648164 707088 972246 981024 1296328 1414176 1944492 2592656 3888984 5185312 7777968 13685099 15555936 27370198 41055297 54740396 82110594 109480792 150536089 164221188 218961584 301072178 328442376 437923168 451608267 602144356 656884752 903216534 1204288712 1313769504 1806433068 2408577424 3612866136 4817154848 7225732272 14451464544