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22441221142340 = 2257112131011008947
BaseRepresentation
bin1010001101001000000010…
…00000111011011101000100
32221110100201021201201111012
411012210001000323131010
510420134110103023330
6115421204335301352
74504216244244350
oct506440100733504
987410637651435
1022441221142340
1171722a5325600
12262531367a858
13c6a276223510
14578237712460
1528db33558c95
hex14690103b744

22441221142340 has 288 divisors, whose sum is σ = 64385475823872. Its totient is φ = 6392681856000.

The previous prime is 22441221142271. The next prime is 22441221142369. The reversal of 22441221142340 is 4324112214422.

It is a junction number, because it is equal to n+sod(n) for n = 22441221142297 and 22441221142306.

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, 21737747 + ... + 22746693.

It is an arithmetic number, because the mean of its divisors is an integer number (223560679944).

Almost surely, 222441221142340 is an apocalyptic number.

22441221142340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22441221142340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32192737911936).

22441221142340 is an abundant number, since it is smaller than the sum of its proper divisors (41944254681532).

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

22441221142340 is a wasteful number, since it uses less digits than its factorization.

22441221142340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009099 (or 1009086 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 22441221142340 its reverse (4324112214422), we get a palindrome (26765333356762).

The spelling of 22441221142340 in words is "twenty-two trillion, four hundred forty-one billion, two hundred twenty-one million, one hundred forty-two thousand, three hundred forty".