Search a number
-
+
4100431324 = 22114359109337
BaseRepresentation
bin1111010001100111…
…1001110111011100
3101120202200111022211
43310121321313130
531344202300244
61514514250204
7203420043163
oct36431716734
911522614284
104100431324
11181464a820
12965286964
13504686632
142ac8183da
1518eeb2934
hexf4679ddc

4100431324 has 96 divisors (see below), whose sum is σ = 8245036800. Its totient is φ = 1767951360.

The previous prime is 4100431303. The next prime is 4100431333. The reversal of 4100431324 is 4231340014.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 4100431295 and 4100431304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12167284 + ... + 12167620.

It is an arithmetic number, because the mean of its divisors is an integer number (85885800).

Almost surely, 24100431324 is an apocalyptic number.

4100431324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4100431324 is an abundant number, since it is smaller than the sum of its proper divisors (4144605476).

4100431324 is a wasteful number, since it uses less digits than its factorization.

4100431324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 4100431324 is about 64034.6103603356. The cubic root of 4100431324 is about 1600.5767873602.

Adding to 4100431324 its reverse (4231340014), we get a palindrome (8331771338).

The spelling of 4100431324 in words is "four billion, one hundred million, four hundred thirty-one thousand, three hundred twenty-four".

Divisors: 1 2 4 11 22 43 44 59 86 109 118 172 218 236 337 436 473 649 674 946 1199 1298 1348 1892 2398 2537 2596 3707 4687 4796 5074 6431 7414 9374 10148 12862 14491 14828 18748 19883 25724 27907 28982 36733 39766 51557 55814 57964 70741 73466 79532 103114 111628 141482 146932 159401 206228 218713 276533 282964 318802 404063 437426 553066 637604 808126 854969 874852 1106132 1579519 1616252 1709938 2167247 3041863 3159038 3419876 4334494 6083726 6318076 8668988 9404659 12167452 17374709 18809318 23839717 34749418 37618636 47679434 69498836 93191621 95358868 186383242 372766484 1025107831 2050215662 4100431324