Search a number
-
+
10343224322244 = 2232111717374311953
BaseRepresentation
bin1001011010000011100000…
…1101100010100011000100
31100121210200002100100200100
42112200320031202203010
52323430410411302434
633555340041244100
72115162512061102
oct226407015424304
940553602310610
1010343224322244
11332859a534390
1211b0704a93630
135a0492042a68
1427a886b58c72
1512e0b71dd699
hex968383628c4

10343224322244 has 288 divisors, whose sum is σ = 30417994623744. Its totient is φ = 2928695132160.

The previous prime is 10343224322209. The next prime is 10343224322251. The reversal of 10343224322244 is 44222342234301.

10343224322244 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 322 + 4 + 322 + 2 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10343224322199 and 10343224322208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 865318572 + ... + 865330524.

It is an arithmetic number, because the mean of its divisors is an integer number (105618036888).

Almost surely, 210343224322244 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 10343224322244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15208997311872).

10343224322244 is an abundant number, since it is smaller than the sum of its proper divisors (20074770301500).

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

10343224322244 is a wasteful number, since it uses less digits than its factorization.

10343224322244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12907 (or 12902 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 10343224322244 its reverse (44222342234301), we get a palindrome (54565566556545).

The spelling of 10343224322244 in words is "ten trillion, three hundred forty-three billion, two hundred twenty-four million, three hundred twenty-two thousand, two hundred forty-four".