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14053425024 = 273417911299
BaseRepresentation
bin11010001011010011…
…00011111110000000
31100021101222221221010
431011221203332000
5212240134100044
610242301400520
71005154066422
oct150551437600
940241887833
1014053425024
115a61879251
122882569140
13142c6c6212
14974622812
15573b87bb9
hex345a63f80

14053425024 has 128 divisors (see below), whose sum is σ = 38727360000. Its totient is φ = 4511969280.

The previous prime is 14053425019. The next prime is 14053425041. The reversal of 14053425024 is 42052435041.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 14053424982 and 14053425000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1238127 + ... + 1249425.

It is an arithmetic number, because the mean of its divisors is an integer number (302557500).

Almost surely, 214053425024 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 14053425024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19363680000).

14053425024 is an abundant number, since it is smaller than the sum of its proper divisors (24673934976).

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

14053425024 is a wasteful number, since it uses less digits than its factorization.

14053425024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11436 (or 11424 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 14053425024 in words is "fourteen billion, fifty-three million, four hundred twenty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 79 82 96 123 128 158 164 192 237 246 316 328 384 474 492 632 656 948 984 1264 1312 1896 1968 2528 2624 3239 3792 3936 5056 5248 6478 7584 7872 9717 10112 11299 12956 15168 15744 19434 22598 25912 30336 33897 38868 45196 51824 67794 77736 90392 103648 135588 155472 180784 207296 271176 310944 361568 414592 463259 542352 621888 723136 892621 926518 1084704 1243776 1389777 1446272 1785242 1853036 2169408 2677863 2779554 3570484 3706072 4338816 5355726 5559108 7140968 7412144 10711452 11118216 14281936 14824288 21422904 22236432 28563872 29648576 36597461 42845808 44472864 57127744 59297152 73194922 85691616 88945728 109792383 114255488 146389844 171383232 177891456 219584766 292779688 342766464 439169532 585559376 878339064 1171118752 1756678128 2342237504 3513356256 4684475008 7026712512 14053425024