Search a number
-
+
424332402031220 = 22529229033868937
BaseRepresentation
bin110000001111011011001011…
…0000101101111101001110100
32001122102210002200111002020012
41200132312112011233221310
5421104230224404444340
64102251340412155352
7155244001331425244
oct14036662605575164
92048383080432205
10424332402031220
111132293a76951a1
123b712566a68b58
13152a04b236b247
1476adb253bdb24
15340ccd6080565
hex181ed9616fa74

424332402031220 has 72 divisors (see below), whose sum is σ = 922917982221144. Its totient is φ = 163874266888192.

The previous prime is 424332402031147. The next prime is 424332402031243. The reversal of 424332402031220 is 22130204233424.

It can be written as a sum of positive squares in 12 ways, for example, as 234257595586576 + 190074806444644 = 15305476^2 + 13786762^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 487900592 + ... + 488769528.

It is an arithmetic number, because the mean of its divisors is an integer number (12818305308627).

Almost surely, 2424332402031220 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 424332402031220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461458991110572).

424332402031220 is an abundant number, since it is smaller than the sum of its proper divisors (498585580189924).

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

424332402031220 is a wasteful number, since it uses less digits than its factorization.

424332402031220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898037 (or 898006 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 424332402031220 its reverse (22130204233424), we get a palindrome (446462606264644).

The spelling of 424332402031220 in words is "four hundred twenty-four trillion, three hundred thirty-two billion, four hundred two million, thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 841 1682 3364 4205 8410 16820 29033 58066 116132 145165 290330 580660 841957 868937 1683914 1737874 3367828 3475748 4209785 4344685 8419570 8689370 16839140 17378740 24416753 25199173 48833506 50398346 97667012 100796692 122083765 125995865 244167530 251991730 488335060 503983460 730776017 1461552034 2923104068 3653880085 7307760170 14615520340 25227847921 50455695842 100911391684 126139239605 252278479210 504556958420 731607589709 1463215179418 2926430358836 3658037948545 7316075897090 14632151794180 21216620101561 42433240203122 84866480406244 106083100507805 212166201015610 424332402031220