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11341300432224 = 253753318432739
BaseRepresentation
bin1010010100001001101000…
…1011101111110101100000
31111011012212201122001012110
42211002122023233311200
52441303440402312344
640042042124155320
72250244666040250
oct245023213576540
944135781561173
1011341300432224
113682900477224
12133202a698b40
13643631861b29
142b2cc9879960
1514a02eac83b9
hexa509a2efd60

11341300432224 has 96 divisors (see below), whose sum is σ = 34665861807360. Its totient is φ = 3179232456192.

The previous prime is 11341300432223. The next prime is 11341300432229. The reversal of 11341300432224 is 42223400314311.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 11341300432191 and 11341300432200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11341300432223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159180754 + ... + 159251985.

It is an arithmetic number, because the mean of its divisors is an integer number (361102727160).

Almost surely, 211341300432224 is an apocalyptic number.

11341300432224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11341300432224 is an abundant number, since it is smaller than the sum of its proper divisors (23324561375136).

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

11341300432224 is a wasteful number, since it uses less digits than its factorization.

11341300432224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318432812 (or 318432804 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 11341300432224 its reverse (42223400314311), we get a palindrome (53564700746535).

The spelling of 11341300432224 in words is "eleven trillion, three hundred forty-one billion, three hundred million, four hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 53 56 84 96 106 112 159 168 212 224 318 336 371 424 636 672 742 848 1113 1272 1484 1696 2226 2544 2968 4452 5088 5936 8904 11872 17808 35616 318432739 636865478 955298217 1273730956 1910596434 2229029173 2547461912 3821192868 4458058346 5094923824 6687087519 7642385736 8916116692 10189847648 13374175038 15284771472 16876935167 17832233384 26748350076 30569542944 33753870334 35664466768 50630805501 53496700152 67507740668 71328933536 101261611002 106993400304 118138546169 135015481336 202523222004 213986800608 236277092338 270030962672 354415638507 405046444008 472554184676 540061925344 708831277014 810092888016 945108369352 1417662554028 1620185776032 1890216738704 2835325108056 3780433477408 5670650216112 11341300432224