Search a number
-
+
31424311332 = 22325571567141
BaseRepresentation
bin11101010001000010…
…001111000000100100
310000010000101102012200
4131101002033000210
51003324110430312
622234112014500
72161503145011
oct352102170044
9100100342180
1031424311332
1112366228237
12610bb31430
132c6a4a647b
141741688708
15c3dbc20dc
hex75108f024

31424311332 has 36 divisors (see below), whose sum is σ = 79576336476. Its totient is φ = 10455958080.

The previous prime is 31424311327. The next prime is 31424311357. The reversal of 31424311332 is 23311342413.

It is a happy number.

31424311332 is a `hidden beast` number, since 3 + 14 + 2 + 4 + 311 + 332 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12315672576 + 19108638756 = 110976^2 + 138234^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×314243113322 (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 31424311296 and 31424311305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 763519 + ... + 803622.

It is an arithmetic number, because the mean of its divisors is an integer number (2210453791).

Almost surely, 231424311332 is an apocalyptic number.

It is an amenable number.

31424311332 is an abundant number, since it is smaller than the sum of its proper divisors (48152025144).

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

31424311332 is a wasteful number, since it uses less digits than its factorization.

31424311332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1567708 (or 1567703 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 31424311332 its reverse (23311342413), we get a palindrome (54735653745).

The spelling of 31424311332 in words is "thirty-one billion, four hundred twenty-four million, three hundred eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 557 1114 1671 2228 3342 5013 6684 10026 20052 1567141 3134282 4701423 6268564 9402846 14104269 18805692 28208538 56417076 872897537 1745795074 2618692611 3491590148 5237385222 7856077833 10474770444 15712155666 31424311332