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10442224261543 = 3741107369717401
BaseRepresentation
bin1001011111110100010100…
…0100010101100110100111
31100222021012120012100112211
42113331011010111212213
52332041133402332133
634113031441424251
72125266023503534
oct227750504254647
940867176170484
1010442224261543
113366582405038
12120793393b087
135a990b5c37b9
14281599053d8b
1513195d733bcd
hex97f451159a7

10442224261543 has 32 divisors (see below), whose sum is σ = 11092328267328. Its totient is φ = 9816339456000.

The previous prime is 10442224261501. The next prime is 10442224261621. The reversal of 10442224261543 is 34516242224401.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10442224261543 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10442224261496 and 10442224261505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10442224261043) 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 31 ways as a sum of consecutive naturals, for example, 600084643 + ... + 600102043.

It is an arithmetic number, because the mean of its divisors is an integer number (346635258354).

Almost surely, 210442224261543 is an apocalyptic number.

10442224261543 is a deficient number, since it is larger than the sum of its proper divisors (650104005785).

10442224261543 is a wasteful number, since it uses less digits than its factorization.

10442224261543 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21283.

The product of its (nonzero) digits is 368640, while the sum is 40.

Adding to 10442224261543 its reverse (34516242224401), we get a palindrome (44958466485944).

The spelling of 10442224261543 in words is "ten trillion, four hundred forty-two billion, two hundred twenty-four million, two hundred sixty-one thousand, five hundred forty-three".

Divisors: 1 37 41 107 1517 3697 3959 4387 17401 136789 151577 162319 395579 643837 713441 1861907 5608349 14636423 16218739 26397317 64331497 68890559 76338187 600093343 2380265389 2637591377 2824512919 6883470179 97590880949 254688396623 282222277339 10442224261543