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22431024121144 = 236197722965551
BaseRepresentation
bin1010001100110101000010…
…01110011000010100111000
32221102101101122020101002111
411012122201032120110320
510420002214133334034
6115412400433542104
74503405455062522
oct506324116302470
987371348211074
1022431024121144
117168a42382661
122623348714934
13c6930c782872
1457794b344a12
1528d73822e364
hex1466a1398538

22431024121144 has 64 divisors (see below), whose sum is σ = 43194979094400. Its totient is φ = 10916246016000.

The previous prime is 22431024121139. The next prime is 22431024121147. The reversal of 22431024121144 is 44112142013422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22431024121147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 342159169 + ... + 342224719.

It is an arithmetic number, because the mean of its divisors is an integer number (674921548350).

Almost surely, 222431024121144 is an apocalyptic number.

It is an amenable number.

22431024121144 is a deficient number, since it is larger than the sum of its proper divisors (20763954973256).

22431024121144 is a wasteful number, since it uses less digits than its factorization.

22431024121144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72944 (or 72940 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

Adding to 22431024121144 its reverse (44112142013422), we get a palindrome (66543166134566).

The spelling of 22431024121144 in words is "twenty-two trillion, four hundred thirty-one billion, twenty-four million, one hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 61 97 122 194 244 388 488 776 5917 7229 11834 14458 23668 28916 47336 57832 65551 131102 262204 440969 524408 701213 881938 1402426 1763876 2804852 3527752 3998611 5609704 6358447 7997222 12716894 15994444 25433788 31988888 42773993 50867576 85547986 171095972 342191944 387865267 473868179 775730534 947736358 1551461068 1895472716 3102922136 3790945432 28905958919 45965213363 57811917838 91930426726 115623835676 183860853452 231247671352 367721706904 2803878015143 5607756030286 11215512060572 22431024121144