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4143034140 = 223571012967
BaseRepresentation
bin1111011011110001…
…1010111100011100
3101200201211221101220
43312330122330130
531441104043030
61523035333340
7204445131510
oct36674327434
911621757356
104143034140
1118366a8963
129775b1250
13510451abb
142b4348140
15193acaa10
hexf6f1af1c

4143034140 has 144 divisors (see below), whose sum is σ = 13404120576. Its totient is φ = 936633600.

The previous prime is 4143034117. The next prime is 4143034157. The reversal of 4143034140 is 414303414.

It is a self number, because there is not a number n which added to its sum of digits gives 4143034140.

It is a congruent number.

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, 4283937 + ... + 4284903.

Almost surely, 24143034140 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 4143034140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6702060288).

4143034140 is an abundant number, since it is smaller than the sum of its proper divisors (9261086436).

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

4143034140 is a wasteful number, since it uses less digits than its factorization.

4143034140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4143034140 is about 64366.4053680179. The cubic root of 4143034140 is about 1606.1009439624.

Adding to 4143034140 its reverse (414303414), we get a palindrome (4557337554).

The spelling of 4143034140 in words is "four billion, one hundred forty-three million, thirty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 101 105 140 202 210 303 404 420 505 606 707 967 1010 1212 1414 1515 1934 2020 2121 2828 2901 3030 3535 3868 4242 4835 5802 6060 6769 7070 8484 9670 10201 10605 11604 13538 14140 14505 19340 20307 20402 21210 27076 29010 30603 33845 40614 40804 42420 51005 58020 61206 67690 71407 81228 97667 101535 102010 122412 135380 142814 153015 195334 203070 204020 214221 285628 293001 306030 357035 390668 406140 428442 488335 586002 612060 683669 714070 856884 976670 1071105 1172004 1367338 1428140 1465005 1953340 2051007 2142210 2734676 2930010 3418345 4102014 4284420 5860020 6836690 8204028 9864367 10255035 13673380 19728734 20510070 29593101 39457468 41020140 49321835 59186202 69050569 98643670 118372404 138101138 147965505 197287340 207151707 276202276 295931010 345252845 414303414 591862020 690505690 828606828 1035758535 1381011380 2071517070 4143034140