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2141145520 = 24526764319
BaseRepresentation
bin111111110011111…
…0100100110110000
312112012221110110221
41333213310212300
513341113124040
6552244102424
7104026302523
oct17747644660
95465843427
102141145520
119a9691358
124b9094a14
13281795c17
1416451abba
15c7e9374a
hex7f9f49b0

2141145520 has 20 divisors (see below), whose sum is σ = 4978163520. Its totient is φ = 856458176.

The previous prime is 2141145481. The next prime is 2141145521. The reversal of 2141145520 is 255411412.

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (2141145521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13382080 + ... + 13382239.

It is an arithmetic number, because the mean of its divisors is an integer number (248908176).

Almost surely, 22141145520 is an apocalyptic number.

2141145520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2141145520 is an abundant number, since it is smaller than the sum of its proper divisors (2837018000).

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

2141145520 is a wasteful number, since it uses less digits than its factorization.

2141145520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26764332 (or 26764326 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The square root of 2141145520 is about 46272.5136555169. The cubic root of 2141145520 is about 1288.8886367860. Note that the first 3 decimals are identical.

Adding to 2141145520 its reverse (255411412), we get a palindrome (2396556932).

The spelling of 2141145520 in words is "two billion, one hundred forty-one million, one hundred forty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 26764319 53528638 107057276 133821595 214114552 267643190 428229104 535286380 1070572760 2141145520