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4143134130 = 235472101619
BaseRepresentation
bin1111011011110011…
…0011010110110010
3101200202001000120020
43312330303112302
531441120243010
61523041424310
7204446026152
oct36674632662
911622030506
104143134130
111836766aa3
1297763b096
13510488475
142b4372762
15193aea470
hexf6f335b2

4143134130 has 96 divisors (see below), whose sum is σ = 10276752960. Its totient is φ = 1068892800.

The previous prime is 4143134113. The next prime is 4143134143. The reversal of 4143134130 is 314313414.

It is a self number, because there is not a number n which added to its sum of digits gives 4143134130.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6692961 + ... + 6693579.

It is an arithmetic number, because the mean of its divisors is an integer number (107049510).

Almost surely, 24143134130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4143134130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5138376480).

4143134130 is an abundant number, since it is smaller than the sum of its proper divisors (6133618830).

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

4143134130 is a wasteful number, since it uses less digits than its factorization.

4143134130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 777 counting only the distinct ones).

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

The square root of 4143134130 is about 64367.1820883904. The cubic root of 4143134130 is about 1606.1138646654.

Adding to 4143134130 its reverse (314313414), we get a palindrome (4457447544).

The spelling of 4143134130 in words is "four billion, one hundred forty-three million, one hundred thirty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 47 94 101 141 202 235 282 303 470 505 606 619 705 1010 1238 1410 1515 1857 2209 3030 3095 3714 4418 4747 6190 6627 9285 9494 11045 13254 14241 18570 22090 23735 28482 29093 33135 47470 58186 62519 66270 71205 87279 125038 142410 145465 174558 187557 223109 290930 312595 375114 436395 446218 625190 669327 872790 937785 1115545 1338654 1367371 1875570 2231090 2734742 2938393 3346635 4102113 5876786 6693270 6836855 8204226 8815179 13673710 14691965 17630358 20510565 29383930 41021130 44075895 88151790 138104471 276208942 414313413 690522355 828626826 1381044710 2071567065 4143134130