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11524014224144 = 249722769326113
BaseRepresentation
bin1010011110110010010011…
…0001100011001100010000
31111210200111100212101002222
42213230210301203030100
53002302140120133034
640302020431000212
72266403546455202
oct247544461431420
944720440771088
1011524014224144
113743341665444
121361521069068
1365792c7ab5c6
142bba9dc58772
1514eb7568d12e
hexa7b24c63310

11524014224144 has 40 divisors (see below), whose sum is σ = 22559020739640. Its totient is φ = 5702337036288.

The previous prime is 11524014224119. The next prime is 11524014224179. The reversal of 11524014224144 is 44142241042511.

It can be written as a sum of positive squares in 4 ways, for example, as 1064223318544 + 10459790905600 = 1031612^2 + 3234160^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 35174432 + ... + 35500544.

It is an arithmetic number, because the mean of its divisors is an integer number (563975518491).

Almost surely, 211524014224144 is an apocalyptic number.

It is an amenable number.

11524014224144 is a deficient number, since it is larger than the sum of its proper divisors (11035006515496).

11524014224144 is a wasteful number, since it uses less digits than its factorization.

11524014224144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348987 (or 348981 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 35.

Adding to 11524014224144 its reverse (44142241042511), we get a palindrome (55666255266655).

The spelling of 11524014224144 in words is "eleven trillion, five hundred twenty-four billion, fourteen million, two hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 97 194 388 776 1552 22769 45538 91076 182152 326113 364304 652226 1304452 2208593 2608904 4417186 5217808 8834372 17668744 31632961 35337488 63265922 126531844 253063688 506127376 7425266897 14850533794 29701067588 59402135176 118804270352 720250889009 1440501778018 2881003556036 5762007112072 11524014224144