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2142030404 = 224153281877
BaseRepresentation
bin111111110101100…
…1100101001000100
312112021121102022102
41333223030221010
513341324433104
6552315051232
7104036646413
oct17753145104
95467542272
102142030404
119aa136168
124b9440b18
13281a15917
141646ab47a
15c80baa1e
hex7facca44

2142030404 has 48 divisors (see below), whose sum is σ = 3930834096. Its totient is φ = 1020364800.

The previous prime is 2142030403. The next prime is 2142030409. The reversal of 2142030404 is 4040302412.

It can be written as a sum of positive squares in 8 ways, for example, as 26214400 + 2115816004 = 5120^2 + 45998^2 .

It is not an unprimeable number, because it can be changed into a prime (2142030403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2442014 + ... + 2442890.

It is an arithmetic number, because the mean of its divisors is an integer number (81892377).

Almost surely, 22142030404 is an apocalyptic number.

It is an amenable number.

2142030404 is a deficient number, since it is larger than the sum of its proper divisors (1788803692).

2142030404 is a wasteful number, since it uses less digits than its factorization.

2142030404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2142030404 is about 46282.0743268925. The cubic root of 2142030404 is about 1289.0661679006.

Adding to 2142030404 its reverse (4040302412), we get a palindrome (6182332816).

The spelling of 2142030404 in words is "two billion, one hundred forty-two million, thirty thousand, four hundred four".

Divisors: 1 2 4 41 53 82 106 164 212 281 562 877 1124 1754 2173 3508 4346 8692 11521 14893 23042 29786 35957 46084 46481 59572 71914 92962 143828 185924 246437 492874 610613 985748 1221226 1905721 2442452 3811442 7622884 10103917 13061161 20207834 26122322 40415668 52244644 535507601 1071015202 2142030404