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2141024512 = 28113312297
BaseRepresentation
bin111111110011101…
…0111000100000000
312112012201022111011
41333213113010000
513341100241022
6552241330304
7104025256654
oct17747270400
95465638434
102141024512
119a9609450
124b9036994
13281752b13
141644c8a64
15c7e6c977
hex7f9d7100

2141024512 has 72 divisors (see below), whose sum is σ = 4678323552. Its totient is φ = 969830400.

The previous prime is 2141024507. The next prime is 2141024513. The reversal of 2141024512 is 2154201412.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (2141024513) 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, 930948 + ... + 933244.

It is an arithmetic number, because the mean of its divisors is an integer number (64976716).

Almost surely, 22141024512 is an apocalyptic number.

2141024512 is a gapful number since it is divisible by the number (22) 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 2141024512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2339161776).

2141024512 is an abundant number, since it is smaller than the sum of its proper divisors (2537299040).

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

2141024512 is a wasteful number, since it uses less digits than its factorization.

2141024512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2655 (or 2641 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 2141024512 is about 46271.2060789429. The cubic root of 2141024512 is about 1288.8643555818.

Adding to 2141024512 its reverse (2154201412), we get a palindrome (4295225924).

Subtracting 2141024512 from its reverse (2154201412), we obtain a square (13176900 = 36302).

The spelling of 2141024512 in words is "two billion, one hundred forty-one million, twenty-four thousand, five hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 331 352 662 704 1324 1408 2297 2648 2816 3641 4594 5296 7282 9188 10592 14564 18376 21184 25267 29128 36752 42368 50534 58256 73504 84736 101068 116512 147008 202136 233024 294016 404272 466048 588032 760307 808544 932096 1520614 1617088 3041228 3234176 6082456 6468352 8363377 12164912 16726754 24329824 33453508 48659648 66907016 97319296 133814032 194638592 267628064 535256128 1070512256 2141024512