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10440122311141 = 198922133278947
BaseRepresentation
bin1001011111101100011111…
…0010000010000111100101
31100222001210002000012122221
42113323013302002013211
52332022332302424031
634112043113352341
72125162651304335
oct227730762020745
940861702005587
1010440122311141
1133656a3964646
121207447a086b1
135a9664ca1c73
14281439c1b0c5
15131888e33a11
hex97ec7c821e5

10440122311141 has 16 divisors (see below), whose sum is σ = 11113623057600. Its totient is φ = 9779034469248.

The previous prime is 10440122311097. The next prime is 10440122311193. The reversal of 10440122311141 is 14111322104401.

It is a cyclic number.

It is not a de Polignac number, because 10440122311141 - 27 = 10440122311013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10440122371141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37287430 + ... + 37566376.

It is an arithmetic number, because the mean of its divisors is an integer number (694601441100).

Almost surely, 210440122311141 is an apocalyptic number.

It is an amenable number.

10440122311141 is a deficient number, since it is larger than the sum of its proper divisors (673500746459).

10440122311141 is a wasteful number, since it uses less digits than its factorization.

10440122311141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301188.

The product of its (nonzero) digits is 768, while the sum is 25.

Adding to 10440122311141 its reverse (14111322104401), we get a palindrome (24551444415542).

The spelling of 10440122311141 in words is "ten trillion, four hundred forty billion, one hundred twenty-two million, three hundred eleven thousand, one hundred forty-one".

Divisors: 1 19 89 1691 22133 278947 420527 1969837 5299993 24826283 37426903 471699377 6173933951 117304745069 549480121639 10440122311141