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12244331313540 = 22325604311256671
BaseRepresentation
bin1011001000101101101100…
…0001001011100110000100
31121100112202111112211222100
42302023123001023212010
53101102342304013130
642012545042032100
72402423641632414
oct262133301134604
947315674484870
1012244331313540
1139a08788aa007
121459049948630
136aa835225621
143048b35c6644
15163783248c60
hexb22db04b984

12244331313540 has 72 divisors (see below), whose sum is σ = 37147287760128. Its totient is φ = 3264614406720.

The previous prime is 12244331313479. The next prime is 12244331313569. The reversal of 12244331313540 is 4531313344221.

12244331313540 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 4 + 331 + 313 + 5 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12244331313495 and 12244331313504.

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 23 ways as a sum of consecutive naturals, for example, 4540596 + ... + 6716075.

It is an arithmetic number, because the mean of its divisors is an integer number (515934552224).

Almost surely, 212244331313540 is an apocalyptic number.

12244331313540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12244331313540 is an abundant number, since it is smaller than the sum of its proper divisors (24902956446588).

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

12244331313540 is a wasteful number, since it uses less digits than its factorization.

12244331313540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11262729 (or 11262724 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 12244331313540 its reverse (4531313344221), we get a palindrome (16775644657761).

The spelling of 12244331313540 in words is "twelve trillion, two hundred forty-four billion, three hundred thirty-one million, three hundred thirteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 6043 12086 18129 24172 30215 36258 54387 60430 72516 90645 108774 120860 181290 217548 271935 362580 543870 1087740 11256671 22513342 33770013 45026684 56283355 67540026 101310039 112566710 135080052 168850065 202620078 225133420 337700130 405240156 506550195 675400260 1013100390 2026200780 68024062853 136048125706 204072188559 272096251412 340120314265 408144377118 612216565677 680240628530 816288754236 1020360942795 1224433131354 1360481257060 2040721885590 2448866262708 3061082828385 4081443771180 6122165656770 12244331313540