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11442042213444 = 22321936319460589
BaseRepresentation
bin1010011010000000111011…
…0111001001010001000100
31111111211220121001202222200
42212200032313021101010
52444431300301312234
640200222430154500
72260442321044233
oct246401667112104
944454817052880
1011442042213444
1137115a7599557
121349664952a30
1364cc97c4c16b
142b7b2522cb1a
1514c978ed9d99
hexa680edc9444

11442042213444 has 72 divisors (see below), whose sum is σ = 30446104416000. Its totient is φ = 3613169156544.

The previous prime is 11442042213403. The next prime is 11442042213457. The reversal of 11442042213444 is 44431224024411.

11442042213444 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 204 + 2 + 2 + 1 + 3 + 444 = 666.

It is a super-2 number, since 2×114420422134442 (a number of 27 digits) contains 22 as substring.

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 = 11442042213399 and 11442042213408.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24611902 + ... + 25072490.

Almost surely, 211442042213444 is an apocalyptic number.

It is an amenable number.

11442042213444 is an abundant number, since it is smaller than the sum of its proper divisors (19004062202556).

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

11442042213444 is a wasteful number, since it uses less digits than its factorization.

11442042213444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496937 (or 496932 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 11442042213444 its reverse (44431224024411), we get a palindrome (55873266237855).

The spelling of 11442042213444 in words is "eleven trillion, four hundred forty-two billion, forty-two million, two hundred thirteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 36319 72638 108957 145276 217914 326871 435828 460589 653742 690061 921178 1307484 1380122 1381767 1842356 2070183 2760244 2763534 4140366 4145301 5527068 6210549 8280732 8290602 8751191 12421098 16581204 17502382 24842196 26253573 35004764 52507146 78760719 105014292 157521438 315042876 16728131891 33456263782 50184395673 66912527564 100368791346 150553187019 200737582692 301106374038 317834505929 602212748076 635669011858 953503517787 1271338023716 1907007035574 2860510553361 3814014071148 5721021106722 11442042213444