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11353142014240 = 255135458241353
BaseRepresentation
bin1010010100110101101111…
…1111110011000100100000
31111012100102222122201221011
42211031123333303010200
52442002213323423430
640051321134310304
72251144304604055
oct245153377630440
944170388581834
1011353142014240
113687927767044
121334394358394
1364479ac3acb0
142b36d041b02c
1514a4c44a522a
hexa535bff3120

11353142014240 has 48 divisors (see below), whose sum is σ = 28885013245368. Its totient is φ = 4191929358336.

The previous prime is 11353142014223. The next prime is 11353142014283. The reversal of 11353142014240 is 4241024135311.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4540018855824 + 6813123158416 = 2130732^2 + 2610196^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2729118597 + ... + 2729122756.

Almost surely, 211353142014240 is an apocalyptic number.

11353142014240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11353142014240 is an abundant number, since it is smaller than the sum of its proper divisors (17531871231128).

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

11353142014240 is a wasteful number, since it uses less digits than its factorization.

11353142014240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5458241381 (or 5458241373 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

Adding to 11353142014240 its reverse (4241024135311), we get a palindrome (15594166149551).

The spelling of 11353142014240 in words is "eleven trillion, three hundred fifty-three billion, one hundred forty-two million, fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 5458241353 10916482706 21832965412 27291206765 43665930824 54582413530 70957137589 87331861648 109164827060 141914275178 174663723296 218329654120 283828550356 354785687945 436659308240 567657100712 709571375890 873318616480 1135314201424 1419142751780 2270628402848 2838285503560 5676571007120 11353142014240