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11141134144420 = 2257211368504229
BaseRepresentation
bin1010001000011111111101…
…0101111101001110100100
31110110002012210110001201111
42202013333111331032210
52430014020320110140
635410055534034404
72226630455465200
oct242077725751644
943402183401644
1011141134144420
113605a23859595
1212bb287348a04
1362a7b1c60207
142a733b66db00
15144c16c587ea
hexa21ff57d3a4

11141134144420 has 36 divisors (see below), whose sum is σ = 27216199126620. Its totient is φ = 3819817420608.

The previous prime is 11141134144409. The next prime is 11141134144457. The reversal of 11141134144420 is 2444143114111.

It can be written as a sum of positive squares in 2 ways, for example, as 4177478156544 + 6963655987876 = 2043888^2 + 2638874^2 .

It is a super-2 number, since 2×111411341444202 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5684251135 + ... + 5684253094.

It is an arithmetic number, because the mean of its divisors is an integer number (756005531295).

Almost surely, 211141134144420 is an apocalyptic number.

11141134144420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11141134144420 is an abundant number, since it is smaller than the sum of its proper divisors (16075064982200).

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

11141134144420 is a wasteful number, since it uses less digits than its factorization.

11141134144420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11368504252 (or 11368504243 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

Adding to 11141134144420 its reverse (2444143114111), we get a palindrome (13585277258531).

The spelling of 11141134144420 in words is "eleven trillion, one hundred forty-one billion, one hundred thirty-four million, one hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 11368504229 22737008458 45474016916 56842521145 79579529603 113685042290 159159059206 227370084580 318318118412 397897648015 557056707221 795795296030 1114113414442 1591590592060 2228226828884 2785283536105 5570567072210 11141134144420