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14463448902 = 23271033373307
BaseRepresentation
bin11010111100001011…
…01011011101000110
31101022222112022221200
431132011223131012
5214110120331102
610351105523330
71021263200340
oct153605533506
941288468850
1014463448902
116152270261
122977943546
1314966371b6
149b2c76290
15599b7b51c
hex35e16b746

14463448902 has 96 divisors (see below), whose sum is σ = 36280238592. Its totient is φ = 4078916352.

The previous prime is 14463448897. The next prime is 14463448963. The reversal of 14463448902 is 20984436441.

14463448902 is a `hidden beast` number, since 1 + 4 + 4 + 634 + 4 + 8 + 9 + 0 + 2 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 4371933 + ... + 4375239.

It is an arithmetic number, because the mean of its divisors is an integer number (377919152).

Almost surely, 214463448902 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14463448902, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18140119296).

14463448902 is an abundant number, since it is smaller than the sum of its proper divisors (21816789690).

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

14463448902 is a wasteful number, since it uses less digits than its factorization.

14463448902 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3762 (or 3759 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 14463448902 in words is "fourteen billion, four hundred sixty-three million, four hundred forty-eight thousand, nine hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 103 126 206 309 337 618 674 721 927 1011 1442 1854 2022 2163 2359 3033 3307 4326 4718 6066 6489 6614 7077 9921 12978 14154 19842 21231 23149 29763 34711 42462 46298 59526 69422 69447 104133 138894 208266 208341 242977 312399 340621 416682 485954 624798 681242 728931 1021863 1114459 1457862 2043726 2186793 2228918 2384347 3065589 3343377 4373586 4768694 6131178 6686754 7153041 7801213 10030131 14306082 15602426 20060262 21459123 23403639 42918246 46807278 70210917 114789277 140421834 229578554 344367831 688735662 803524939 1033103493 1607049878 2066206986 2410574817 4821149634 7231724451 14463448902