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2514054144 = 21037116911
BaseRepresentation
bin1001010111011001…
…0110110000000000
320111012122011221110
42111312112300000
520122044213034
61053244523320
7116205051630
oct22566266000
96435564843
102514054144
1110801330a8
125a1b50540
13310b10404
1419bc6c6c0
15eaaa4de9
hex95d96c00

2514054144 has 88 divisors (see below), whose sum is σ = 7658203648. Its totient is φ = 718295040.

The previous prime is 2514054139. The next prime is 2514054149. The reversal of 2514054144 is 4414504152.

It is an interprime number because it is at equal distance from previous prime (2514054139) and next prime (2514054149).

It is not an unprimeable number, because it can be changed into a prime (2514054149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36952 + ... + 79959.

Almost surely, 22514054144 is an apocalyptic number.

2514054144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2514054144 is an abundant number, since it is smaller than the sum of its proper divisors (5144149504).

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

2514054144 is a wasteful number, since it uses less digits than its factorization.

2514054144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116941 (or 116923 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The square root of 2514054144 is about 50140.3444742854. The cubic root of 2514054144 is about 1359.7473117616.

Adding to 2514054144 its reverse (4414504152), we get a palindrome (6928558296).

The spelling of 2514054144 in words is "two billion, five hundred fourteen million, fifty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2688 3072 3584 5376 7168 10752 21504 116911 233822 350733 467644 701466 818377 935288 1402932 1636754 1870576 2455131 2805864 3273508 3741152 4910262 5611728 6547016 7482304 9820524 11223456 13094032 14964608 19641048 22446912 26188064 29929216 39282096 44893824 52376128 59858432 78564192 89787648 104752256 119716864 157128384 179575296 209504512 314256768 359150592 419009024 628513536 838018048 1257027072 2514054144