Search a number
-
+
4139007312 = 2431124316573
BaseRepresentation
bin1111011010110100…
…0011110101010000
3101200110021100122010
43312231003311100
531434041213222
61522413142520
7204365660466
oct36655036520
911613240563
104139007312
1118343a8500
1297618aa40
1350c671c6b
142b39ba836
1519358280c
hexf6b43d50

4139007312 has 120 divisors (see below), whose sum is σ = 12026889952. Its totient is φ = 1225002240.

The previous prime is 4139007307. The next prime is 4139007317. The reversal of 4139007312 is 2137009314.

It is an interprime number because it is at equal distance from previous prime (4139007307) and next prime (4139007317).

It is a self number, because there is not a number n which added to its sum of digits gives 4139007312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4139007317) 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 23 ways as a sum of consecutive naturals, for example, 241458 + ... + 258030.

Almost surely, 24139007312 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 4139007312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6013444976).

4139007312 is an abundant number, since it is smaller than the sum of its proper divisors (7887882640).

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

4139007312 is a wasteful number, since it uses less digits than its factorization.

4139007312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16649 (or 16632 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 4139007312 is about 64335.1172533322. The cubic root of 4139007312 is about 1605.5804245774.

The spelling of 4139007312 in words is "four billion, one hundred thirty-nine million, seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 43 44 48 66 86 88 121 129 132 172 176 242 258 264 344 363 473 484 516 528 688 726 946 968 1032 1419 1452 1892 1936 2064 2838 2904 3784 5203 5676 5808 7568 10406 11352 15609 16573 20812 22704 31218 33146 41624 49719 62436 66292 83248 99438 124872 132584 182303 198876 249744 265168 364606 397752 546909 712639 729212 795504 1093818 1425278 1458424 2005333 2137917 2187636 2850556 2916848 4010666 4275834 4375272 5701112 6015999 7839029 8021332 8551668 8750544 11402224 12031998 15678058 16042664 17103336 23517087 24063996 31356116 32085328 34206672 47034174 48127992 62712232 86229319 94068348 96255984 125424464 172458638 188136696 258687957 344917276 376273392 517375914 689834552 1034751828 1379669104 2069503656 4139007312