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40431522131 = 7113131917569
BaseRepresentation
bin100101101001111010…
…000001000101010011
310212100202001010120122
4211221322001011103
51130300432202011
630323551500455
72630634160550
oct455172010523
9125322033518
1040431522131
11161685a4000
127a0452772b
133a745ac8c0
141d57a19a27
1510b98253db
hex969e81153

40431522131 has 64 divisors (see below), whose sum is σ = 57618355200. Its totient is φ = 27549434880.

The previous prime is 40431522121. The next prime is 40431522133. The reversal of 40431522131 is 13122513404.

It is a happy number.

It is not a de Polignac number, because 40431522131 - 222 = 40427327827 is a prime.

It is a super-2 number, since 2×404315221312 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40431522131.

It is not an unprimeable number, because it can be changed into a prime (40431522133) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2292515 + ... + 2310083.

It is an arithmetic number, because the mean of its divisors is an integer number (900286800).

Almost surely, 240431522131 is an apocalyptic number.

40431522131 is a deficient number, since it is larger than the sum of its proper divisors (17186833069).

40431522131 is a wasteful number, since it uses less digits than its factorization.

40431522131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17641 (or 17619 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The spelling of 40431522131 in words is "forty billion, four hundred thirty-one million, five hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 7 11 13 19 77 91 121 133 143 209 247 847 1001 1331 1463 1573 1729 2299 2717 9317 11011 16093 17303 17569 19019 25289 29887 121121 122983 177023 193259 209209 228397 328757 333811 1352813 1598779 2125849 2301299 2336677 2512367 3671921 4339543 14880943 17586569 23384339 25703447 27636037 30376801 40391131 47734973 163690373 193452259 282737917 303996407 334144811 444302441 525084703 2127974849 3110117087 3675592921 5775931733 40431522131