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14449535744 = 287127173367
BaseRepresentation
bin11010111010100001…
…00110101100000000
31101022000100110200112
431131100212230000
5214043040120434
610345451410452
71021034012240
oct153520465400
941260313615
1014449535744
116145428086
122973153a28
1314937a5467
149b1093b20
1559882ddce
hex35d426b00

14449535744 has 144 divisors (see below), whose sum is σ = 33505640448. Its totient is φ = 6091739136.

The previous prime is 14449535743. The next prime is 14449535759. The reversal of 14449535744 is 44753594441.

It is a junction number, because it is equal to n+sod(n) for n = 14449535692 and 14449535701.

It is not an unprimeable number, because it can be changed into a prime (14449535743) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39371849 + ... + 39372215.

Almost surely, 214449535744 is an apocalyptic number.

14449535744 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 14449535744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16752820224).

14449535744 is an abundant number, since it is smaller than the sum of its proper divisors (19056104704).

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

14449535744 is a wasteful number, since it uses less digits than its factorization.

14449535744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 676 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 50.

It can be divided in two parts, 1444 and 9535744, that multiplied together give a square (13769614336 = 1173442).

The spelling of 14449535744 in words is "fourteen billion, four hundred forty-nine million, five hundred thirty-five thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 127 128 173 224 254 256 346 367 448 508 692 734 889 896 1016 1211 1384 1468 1778 1792 2032 2422 2569 2768 2936 3556 4064 4844 5138 5536 5872 7112 8128 9688 10276 11072 11744 14224 16256 19376 20552 21971 22144 23488 28448 32512 38752 41104 43942 44288 46609 46976 56896 63491 77504 82208 87884 93218 93952 113792 126982 153797 155008 164416 175768 186436 227584 253964 307594 310016 326263 328832 351536 372872 444437 507928 615188 652526 657664 703072 745744 888874 1015856 1230376 1305052 1406144 1491488 1777748 2031712 2460752 2610104 2812288 2982976 3555496 4063424 4921504 5220208 5624576 5965952 7110992 8063357 8126848 9843008 10440416 11931904 14221984 16126714 16253696 19686016 20880832 28443968 32253428 39372032 41761664 56443499 56887936 64506856 83523328 112886998 113775872 129013712 225773996 258027424 451547992 516054848 903095984 1032109696 1806191968 2064219392 3612383936 7224767872 14449535744