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11141104320320 = 265132678150077
BaseRepresentation
bin1010001000011111110110…
…0100001011111101000000
31110110002010201022211202012
42202013331210023331000
52430013440201222240
635410052550512052
72226626644131362
oct242077544137500
943402121284665
1011141104320320
113605a08a39277
1212bb279365628
1362a7a8a1a310
142a7337708d32
15144c14316b65
hexa21fd90bf40

11141104320320 has 56 divisors (see below), whose sum is σ = 28570505032104. Its totient is φ = 4113638516736.

The previous prime is 11141104320317. The next prime is 11141104320329. The reversal of 11141104320320 is 2302340114111.

It can be written as a sum of positive squares in 4 ways, for example, as 69034409536 + 11072069910784 = 262744^2 + 3327472^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11141104320329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1339070879 + ... + 1339079198.

It is an arithmetic number, because the mean of its divisors is an integer number (510187589859).

Almost surely, 211141104320320 is an apocalyptic number.

11141104320320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11141104320320 is an abundant number, since it is smaller than the sum of its proper divisors (17429400711784).

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

11141104320320 is a wasteful number, since it uses less digits than its factorization.

11141104320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2678150107 (or 2678150097 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 11141104320320 its reverse (2302340114111), we get a palindrome (13443444434431).

The spelling of 11141104320320 in words is "eleven trillion, one hundred forty-one billion, one hundred four million, three hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 4160 2678150077 5356300154 10712600308 13390750385 21425200616 26781500770 34815951001 42850401232 53563001540 69631902002 85700802464 107126003080 139263804004 171401604928 174079755005 214252006160 278527608008 348159510010 428504012320 557055216016 696319020020 857008024640 1114110432032 1392638040040 2228220864064 2785276080080 5570552160160 11141104320320