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3022040224242 = 2321326771467413
BaseRepresentation
bin101011111110011111101…
…000100101000111110010
3101200220102011211200012200
4223332133220211013302
5344003114244133432
610232150042004030
7431222655033444
oct53763750450762
911626364750180
103022040224242
11a65704a16436
124098371a6616
1318bc91ac6800
14a63a6148494
155392466aa7c
hex2bf9fa251f2

3022040224242 has 72 divisors (see below), whose sum is σ = 7100649060804. Its totient is φ = 928484399232.

The previous prime is 3022040224241. The next prime is 3022040224253. The reversal of 3022040224242 is 2424220402203.

3022040224242 is a `hidden beast` number, since 30 + 2 + 204 + 0 + 2 + 2 + 424 + 2 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1294632076761 + 1727408147481 = 1137819^2 + 1314309^2 .

It is not an unprimeable number, because it can be changed into a prime (3022040224241) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1325728 + ... + 2793140.

Almost surely, 23022040224242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3022040224242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3550324530402).

3022040224242 is an abundant number, since it is smaller than the sum of its proper divisors (4078608836562).

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

3022040224242 is a wasteful number, since it uses less digits than its factorization.

3022040224242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468124 (or 1468108 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 3022040224242 its reverse (2424220402203), we get a palindrome (5446260626445).

The spelling of 3022040224242 in words is "three trillion, twenty-two billion, forty million, two hundred twenty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 234 338 507 677 1014 1354 1521 2031 3042 4062 6093 8801 12186 17602 26403 52806 79209 114413 158418 228826 343239 686478 1029717 1467413 2059434 2934826 4402239 8804478 13206717 19076369 26413434 38152738 57229107 114458214 171687321 247992797 343374642 495985594 743978391 993438601 1487956782 1986877202 2231935173 2980315803 4463870346 5960631606 8940947409 12914701813 17881894818 25829403626 38744105439 77488210878 116232316317 167891123569 232464632634 335782247138 503673370707 1007346741414 1511020112121 3022040224242