Search a number
-
+
4144240314 = 233174514423
BaseRepresentation
bin1111011100000100…
…0001011010111010
3101200211010012222000
43313001001122322
531441411142224
61523121241430
7204461314164
oct36701013272
911624105860
104144240314
1118373520a5
12977a93276
13510784b06
142b457d934
15193c680c9
hexf70416ba

4144240314 has 32 divisors (see below), whose sum is σ = 9751155840. Its totient is φ = 1300153536.

The previous prime is 4144240291. The next prime is 4144240343. The reversal of 4144240314 is 4130424414.

4144240314 is a `hidden beast` number, since 414 + 4 + 240 + 3 + 1 + 4 = 666.

4144240314 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2256294 + ... + 2258129.

It is an arithmetic number, because the mean of its divisors is an integer number (304723620).

Almost surely, 24144240314 is an apocalyptic number.

4144240314 is an abundant number, since it is smaller than the sum of its proper divisors (5606915526).

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

4144240314 is a wasteful number, since it uses less digits than its factorization.

4144240314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4514451 (or 4514445 counting only the distinct ones).

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

The square root of 4144240314 is about 64375.7742788388. The cubic root of 4144240314 is about 1606.2567918399.

Adding to 4144240314 its reverse (4130424414), we get a palindrome (8274664728).

The spelling of 4144240314 in words is "four billion, one hundred forty-four million, two hundred forty thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 918 4514423 9028846 13543269 27086538 40629807 76745191 81259614 121889421 153490382 230235573 243778842 460471146 690706719 1381413438 2072120157 4144240314