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11044133344404 = 223217157114942481
BaseRepresentation
bin1010000010110110100110…
…1001010001010010010100
31110002210211122022212101200
42200231221221101102110
52421421341114010104
635253334350152500
72216624630341026
oct240555151212224
943083748285350
1011044133344404
113578877397866
1212a4515ab2730
136215c3914b24
142a2778a88016
1514243aea5b39
hexa0b69a51494

11044133344404 has 72 divisors (see below), whose sum is σ = 29747574111528. Its totient is φ = 3442757160960.

The previous prime is 11044133344351. The next prime is 11044133344417. The reversal of 11044133344404 is 40444333144011.

11044133344404 is a `hidden beast` number, since 1 + 10 + 44 + 133 + 34 + 440 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3293310303504 + 7750823040900 = 1814748^2 + 2784030^2 .

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

It is a congruent number.

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, 57375157 + ... + 57567324.

It is an arithmetic number, because the mean of its divisors is an integer number (413160751549).

Almost surely, 211044133344404 is an apocalyptic number.

It is an amenable number.

11044133344404 is an abundant number, since it is smaller than the sum of its proper divisors (18703440767124).

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

11044133344404 is a wasteful number, since it uses less digits than its factorization.

11044133344404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114942665 (or 114942660 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 11044133344404 its reverse (40444333144011), we get a palindrome (51488466488415).

The spelling of 11044133344404 in words is "eleven trillion, forty-four billion, one hundred thirty-three million, three hundred forty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 157 204 306 314 471 612 628 942 1413 1884 2669 2826 5338 5652 8007 10676 16014 24021 32028 48042 96084 114942481 229884962 344827443 459769924 689654886 1034482329 1379309772 1954022177 2068964658 3908044354 4137929316 5862066531 7816088708 11724133062 17586199593 18045969517 23448266124 35172399186 36091939034 54137908551 70344798372 72183878068 108275817102 162413725653 216551634204 306781481789 324827451306 613562963578 649654902612 920344445367 1227125927156 1840688890734 2761033336101 3681377781468 5522066672202 11044133344404