Search a number
-
+
4140143424 = 263249114639
BaseRepresentation
bin1111011011000101…
…1001001101000000
3101200112102002002100
43312301121031000
531434334042144
61522453350400
7204411431664
oct36661311500
911615362070
104140143424
11183500403a
12976638400
1350c97c111
142b3bd48a4
15193709269
hexf6c59340

4140143424 has 84 divisors (see below), whose sum is σ = 11891954880. Its totient is φ = 1377143040.

The previous prime is 4140143411. The next prime is 4140143429. The reversal of 4140143424 is 4243410414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4140143429) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 275497 + ... + 290135.

Almost surely, 24140143424 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 4140143424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5945977440).

4140143424 is an abundant number, since it is smaller than the sum of its proper divisors (7751811456).

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

4140143424 is a wasteful number, since it uses less digits than its factorization.

4140143424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15148 (or 15135 counting only the distinct ones).

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

The square root of 4140143424 is about 64343.9462886758. The cubic root of 4140143424 is about 1605.7273158628.

Adding to 4140143424 its reverse (4243410414), we get a palindrome (8383553838).

The spelling of 4140143424 in words is "four billion, one hundred forty million, one hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 491 576 982 1473 1964 2946 3928 4419 5892 7856 8838 11784 14639 15712 17676 23568 29278 31424 35352 43917 47136 58556 70704 87834 94272 117112 131751 141408 175668 234224 263502 282816 351336 468448 527004 702672 936896 1054008 1405344 2108016 2810688 4216032 7187749 8432064 14375498 21563247 28750996 43126494 57501992 64689741 86252988 115003984 129379482 172505976 230007968 258758964 345011952 460015936 517517928 690023904 1035035856 1380047808 2070071712 4140143424