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4242241314 = 232317979539
BaseRepresentation
bin1111110011011011…
…0111011100100010
3101221122112012001200
43330312313130202
532142003210224
61540541542030
7210061312323
oct37466673442
911848465050
104242241314
1118876a8763
129a4874916
13527b7877c
142c35b044a
1519c6755c9
hexfcdb7722

4242241314 has 48 divisors (see below), whose sum is σ = 9500924160. Its totient is φ = 1366604640.

The previous prime is 4242241313. The next prime is 4242241331. The reversal of 4242241314 is 4131422424.

4242241314 is a `hidden beast` number, since 4 + 242 + 2 + 413 + 1 + 4 = 666.

It is a super-2 number, since 2×42422413142 = 35993222732416893192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4242241313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 439957 + ... + 449495.

It is an arithmetic number, because the mean of its divisors is an integer number (197935920).

Almost surely, 24242241314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4242241314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4750462080).

4242241314 is an abundant number, since it is smaller than the sum of its proper divisors (5258682846).

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

4242241314 is a wasteful number, since it uses less digits than its factorization.

4242241314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10375 (or 10372 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 4242241314 is about 65132.4904636695. The cubic root of 4242241314 is about 1618.8196088113.

Adding to 4242241314 its reverse (4131422424), we get a palindrome (8373663738).

The spelling of 4242241314 in words is "four billion, two hundred forty-two million, two hundred forty-one thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 797 1594 2391 4782 7173 9539 14346 19078 24707 28617 49414 57234 74121 85851 148242 171702 222363 295709 444726 591418 887127 1774254 2661381 5322762 7602583 15205166 22807749 45615498 68423247 136846494 235680073 471360146 707040219 1414080438 2121120657 4242241314