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14153505024 = 283175910477
BaseRepresentation
bin11010010111001110…
…10101100100000000
31100112101022112212210
431023213111210000
5212441244130044
610300234422120
71010510544021
oct151347254400
940471275783
1014153505024
11600331489a
1228abb91940
131447367259
14983a34c48
1557c8561b9
hex34b9d5900

14153505024 has 72 divisors (see below), whose sum is σ = 37693976320. Its totient is φ = 4714702848.

The previous prime is 14153505017. The next prime is 14153505029. The reversal of 14153505024 is 42050535141.

It is a junction number, because it is equal to n+sod(n) for n = 14153504982 and 14153505000.

It is not an unprimeable number, because it can be changed into a prime (14153505029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1345674 + ... + 1356150.

Almost surely, 214153505024 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 14153505024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18846988160).

14153505024 is an abundant number, since it is smaller than the sum of its proper divisors (23540471296).

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

14153505024 is a wasteful number, since it uses less digits than its factorization.

14153505024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12255 (or 12241 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 14153505024 in words is "fourteen billion, one hundred fifty-three million, five hundred five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 1759 3518 5277 7036 10477 10554 14072 20954 21108 28144 31431 41908 42216 56288 62862 83816 84432 112576 125724 167632 168864 225152 251448 335264 337728 450304 502896 670528 675456 1005792 1341056 1350912 2011584 2682112 4023168 8046336 18429043 36858086 55287129 73716172 110574258 147432344 221148516 294864688 442297032 589729376 884594064 1179458752 1769188128 2358917504 3538376256 4717835008 7076752512 14153505024