Search a number
-
+
4330113144 = 233725369473
BaseRepresentation
bin1000000100001100…
…00100100001111000
3102011202212112112220
410002012010201320
532332002110034
61553401204040
7212206232400
oct40206044170
912152775486
104330113144
111922266105
12a0a190620
13540133b36
142d1125800
151a5231749
hex102184878

4330113144 has 96 divisors (see below), whose sum is σ = 12830458320. Its totient is φ = 1213814784.

The previous prime is 4330113143. The next prime is 4330113157. The reversal of 4330113144 is 4413110334.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4330113143) 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, 27592 + ... + 97064.

Almost surely, 24330113144 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 4330113144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6415229160).

4330113144 is an abundant number, since it is smaller than the sum of its proper divisors (8500345176).

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

4330113144 is a wasteful number, since it uses less digits than its factorization.

4330113144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69549 (or 69538 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 4330113144 is about 65803.5952209300. The cubic root of 4330113144 is about 1629.9204728660.

Adding to 4330113144 its reverse (4413110334), we get a palindrome (8743223478).

The spelling of 4330113144 in words is "four billion, three hundred thirty million, one hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 53 56 84 98 106 147 159 168 196 212 294 318 371 392 424 588 636 742 1113 1176 1272 1484 2226 2597 2968 4452 5194 7791 8904 10388 15582 20776 31164 62328 69473 138946 208419 277892 416838 486311 555784 833676 972622 1458933 1667352 1945244 2917866 3404177 3682069 3890488 5835732 6808354 7364138 10212531 11046207 11671464 13616708 14728276 20425062 22092414 25774483 27233416 29456552 40850124 44184828 51548966 77323449 81700248 88369656 103097932 154646898 180421381 206195864 309293796 360842762 541264143 618587592 721685524 1082528286 1443371048 2165056572 4330113144