Search a number
-
+
31231441424 = 2429449149909
BaseRepresentation
bin11101000101100010…
…011111101000010000
32222121120110121102202
4131011202133220100
51002430222111144
622203022102332
72153641605041
oct350542375020
988546417382
1031231441424
1112277375217
12607741a9a8
132c39547671
141723c008c8
15c2bcc564e
hex74589fa10

31231441424 has 40 divisors (see below), whose sum is σ = 62737335000. Its totient is φ = 15043567616.

The previous prime is 31231441357. The next prime is 31231441459. The reversal of 31231441424 is 42414413213.

It can be written as a sum of positive squares in 4 ways, for example, as 2140727824 + 29090713600 = 46268^2 + 170560^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133382 + ... + 283290.

It is an arithmetic number, because the mean of its divisors is an integer number (1568433375).

Almost surely, 231231441424 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 31231441424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31368667500).

31231441424 is an abundant number, since it is smaller than the sum of its proper divisors (31505893576).

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

31231441424 is a wasteful number, since it uses less digits than its factorization.

31231441424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150395 (or 150389 counting only the distinct ones).

The product of its digits is 9216, while the sum is 29.

Adding to 31231441424 its reverse (42414413213), we get a palindrome (73645854637).

The spelling of 31231441424 in words is "thirty-one billion, two hundred thirty-one million, four hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 29 58 116 232 449 464 898 1796 3592 7184 13021 26042 52084 104168 149909 208336 299818 599636 1199272 2398544 4347361 8694722 17389444 34778888 67309141 69557776 134618282 269236564 538473128 1076946256 1951965089 3903930178 7807860356 15615720712 31231441424