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14224616532 = 223271915531913
BaseRepresentation
bin11010011111101101…
…00110110001010100
31100201100010101112100
431033312212301110
5213113000212112
610311254522100
71012333150140
oct151766466124
940640111470
1014224616532
11603a474a35
12290b966330
131459004979
1498d266220
15583c012dc
hex34fda6c54

14224616532 has 144 divisors (see below), whose sum is σ = 43306623360. Its totient is φ = 3845781504.

The previous prime is 14224616531. The next prime is 14224616561. The reversal of 14224616532 is 23561642241.

14224616532 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 4 + 616 + 5 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14224616531) by changing a digit.

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, 7434808 + ... + 7436720.

It is an arithmetic number, because the mean of its divisors is an integer number (300740440).

Almost surely, 214224616532 is an apocalyptic number.

14224616532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14224616532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21653311680).

14224616532 is an abundant number, since it is smaller than the sum of its proper divisors (29082006828).

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

14224616532 is a wasteful number, since it uses less digits than its factorization.

14224616532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3502 (or 3497 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The spelling of 14224616532 in words is "fourteen billion, two hundred twenty-four million, six hundred sixteen thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 266 342 399 532 684 798 1197 1553 1596 1913 2394 3106 3826 4659 4788 5739 6212 7652 9318 10871 11478 13391 13977 17217 18636 21742 22956 26782 27954 29507 32613 34434 36347 40173 43484 53564 55908 59014 65226 68868 72694 80346 88521 97839 109041 118028 120519 130452 145388 160692 177042 195678 206549 218082 241038 254429 265563 327123 354084 391356 413098 436164 482076 508858 531126 619647 654246 763287 826196 1017716 1062252 1239294 1308492 1526574 1858941 2289861 2478588 2970889 3053148 3717882 4579722 5941778 7435764 8912667 9159444 11883556 17825334 20796223 26738001 35650668 41592446 53476002 56446891 62388669 83184892 106952004 112893782 124777338 169340673 187166007 225787564 249554676 338681346 374332014 395128237 508022019 677362692 748664028 790256474 1016044038 1185384711 1580512948 2032088076 2370769422 3556154133 4741538844 7112308266 14224616532