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2141002424 = 2311151161123
BaseRepresentation
bin111111110011101…
…0001101010111000
312112012200012012002
41333213101222320
513341044034144
6552241040132
7104025135401
oct17747215270
95465605162
102141002424
119a95a38a0
124b9026048
13281745a52
141644c09a8
15c7e6614e
hex7f9d1ab8

2141002424 has 32 divisors (see below), whose sum is σ = 4408352640. Its totient is φ = 966732000.

The previous prime is 2141002399. The next prime is 2141002427. The reversal of 2141002424 is 4242001412.

It is a junction number, because it is equal to n+sod(n) for n = 2141002396 and 2141002405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141002427) 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 7 ways as a sum of consecutive naturals, for example, 67274 + ... + 93849.

It is an arithmetic number, because the mean of its divisors is an integer number (137761020).

Almost surely, 22141002424 is an apocalyptic number.

It is an amenable number.

2141002424 is an abundant number, since it is smaller than the sum of its proper divisors (2267350216).

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

2141002424 is a wasteful number, since it uses less digits than its factorization.

2141002424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161291 (or 161287 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2141002424 is about 46270.9673985751. The cubic root of 2141002424 is about 1288.8599233527.

Adding to 2141002424 its reverse (4242001412), we get a palindrome (6383003836).

The spelling of 2141002424 in words is "two billion, one hundred forty-one million, two thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 88 151 302 604 1208 1661 3322 6644 13288 161123 322246 644492 1288984 1772353 3544706 7089412 14178824 24329573 48659146 97318292 194636584 267625303 535250606 1070501212 2141002424