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2141430104 = 2311163337443
BaseRepresentation
bin111111110100011…
…1010000101011000
312112020110220212002
41333220322011120
513341201230404
6552254140132
7104031566312
oct17750720530
95466426762
102141430104
119a9866150
124b91b1648
13281865608
141645927b2
15c7eecc1e
hex7fa3a158

2141430104 has 64 divisors (see below), whose sum is σ = 4430125440. Its totient is φ = 962357760.

The previous prime is 2141430089. The next prime is 2141430113. The reversal of 2141430104 is 4010341412.

It is a congruent number.

It is an unprimeable number.

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, 4833707 + ... + 4834149.

It is an arithmetic number, because the mean of its divisors is an integer number (69220710).

Almost surely, 22141430104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2141430104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2215062720).

2141430104 is an abundant number, since it is smaller than the sum of its proper divisors (2288695336).

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

2141430104 is a wasteful number, since it uses less digits than its factorization.

2141430104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2141430104 is about 46275.5886402323. The cubic root of 2141430104 is about 1288.9457371918.

Adding to 2141430104 its reverse (4010341412), we get a palindrome (6151771516).

The spelling of 2141430104 in words is "two billion, one hundred forty-one million, four hundred thirty thousand, one hundred four".

Divisors: 1 2 4 8 11 22 44 88 163 326 337 443 652 674 886 1304 1348 1772 1793 2696 3544 3586 3707 4873 7172 7414 9746 14344 14828 19492 29656 38984 54931 72209 109862 144418 149291 219724 288836 298582 439448 577672 597164 604241 794299 1194328 1208482 1588598 1642201 2416964 3177196 3284402 4833928 6354392 6568804 13137608 24334433 48668866 97337732 194675464 267678763 535357526 1070715052 2141430104