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14488521124 = 22711237412819
BaseRepresentation
bin11010111111001010…
…10100100110100100
31101101201201010120111
431133211110212210
5214133030133444
610353403142404
71022016253240
oct153745244644
941351633514
1014488521124
116165435400
122984214a04
13149b8a522c
149b6321420
1559be80234
hex35f9549a4

14488521124 has 144 divisors (see below), whose sum is σ = 33521362560. Its totient is φ = 5356454400.

The previous prime is 14488521107. The next prime is 14488521143. The reversal of 14488521124 is 42112588441.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5138187 + ... + 5141005.

It is an arithmetic number, because the mean of its divisors is an integer number (232787240).

Almost surely, 214488521124 is an apocalyptic number.

14488521124 is a gapful number since it is divisible by the number (14) 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 14488521124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16760681280).

14488521124 is an abundant number, since it is smaller than the sum of its proper divisors (19032841436).

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

14488521124 is a wasteful number, since it uses less digits than its factorization.

14488521124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2930 (or 2917 counting only the distinct ones).

The product of its digits is 81920, while the sum is 40.

The spelling of 14488521124 in words is "fourteen billion, four hundred eighty-eight million, five hundred twenty-one thousand, one hundred twenty-four".

Divisors: 1 2 4 7 11 14 22 28 37 41 44 74 77 82 121 148 154 164 242 259 287 308 407 451 484 518 574 814 847 902 1036 1148 1517 1628 1694 1804 2819 2849 3034 3157 3388 4477 4961 5638 5698 6068 6314 8954 9922 10619 11276 11396 12628 16687 17908 19733 19844 21238 31009 31339 33374 34727 39466 42476 62018 62678 66748 69454 78932 104303 115579 116809 124036 125356 138908 183557 208606 217063 231158 233618 341099 367114 417212 434126 462316 467236 682198 730121 734228 809053 868252 1147333 1271369 1284899 1364396 1460242 1618106 2294666 2387693 2542738 2569798 2920484 3236212 4276423 4589332 4775386 5085476 5139596 8031331 8552846 8899583 9550772 12620663 13985059 16062662 17105692 17799166 25241326 27970118 29934961 32125324 35598332 47040653 50482652 55940236 59869922 88344641 94081306 97895413 119739844 176689282 188162612 195790826 329284571 353378564 391581652 517447183 658569142 1034894366 1317138284 2069788732 3622130281 7244260562 14488521124