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1115332344144 = 243261324775101
BaseRepresentation
bin10000001110101110111…
…111001111100101010000
310221121212102120112212200
4100032232333033211100
5121233200040003034
62212213202523200
7143402655334224
oct20165677174520
93847772515780
101115332344144
113a0012039097
121601aa666500
1381238438065
143bda78c0784
151e02ba62a99
hex103aefcf950

1115332344144 has 120 divisors (see below), whose sum is σ = 3128348830152. Its totient is φ = 370948377600.

The previous prime is 1115332344127. The next prime is 1115332344151. The reversal of 1115332344144 is 4414432335111.

1115332344144 is a `hidden beast` number, since 1 + 1 + 1 + 5 + 3 + 3 + 234 + 414 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 133473315600 + 981859028544 = 365340^2 + 990888^2 .

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 = 1115332344099 and 1115332344108.

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, 218647194 + ... + 218652294.

Almost surely, 21115332344144 is an apocalyptic number.

It is an amenable number.

1115332344144 is an abundant number, since it is smaller than the sum of its proper divisors (2013016486008).

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

1115332344144 is a wasteful number, since it uses less digits than its factorization.

1115332344144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8205 (or 8196 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

Adding to 1115332344144 its reverse (4414432335111), we get a palindrome (5529764679255).

The spelling of 1115332344144 in words is "one trillion, one hundred fifteen billion, three hundred thirty-two million, three hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 613 1226 1839 2452 2477 3678 4904 4954 5101 5517 7356 7431 9808 9908 10202 11034 14712 14862 15303 19816 20404 22068 22293 29424 29724 30606 39632 40808 44136 44586 45909 59448 61212 81616 88272 89172 91818 118896 122424 178344 183636 244848 356688 367272 734544 1518401 3036802 3126913 4555203 6073604 6253826 9110406 9380739 12147208 12507652 12635177 13665609 18220812 18761478 24294416 25015304 25270354 27331218 28142217 36441624 37522956 37905531 50030608 50540708 54662436 56284434 72883248 75045912 75811062 101081416 109324872 112568868 113716593 150091824 151622124 202162832 218649744 225137736 227433186 303244248 450275472 454866372 606488496 909732744 1819465488 7745363501 15490727002 23236090503 30981454004 46472181006 61962908008 69708271509 92944362012 123925816016 139416543018 185888724024 278833086036 371777448048 557666172072 1115332344144