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11053313063440 = 245157880040849
BaseRepresentation
bin1010000011011000110011…
…0011000111101000010000
31110010200112101120220120121
42200312030303013220100
52422044141121012230
635301453311320024
72220401254560214
oct240661463075020
943120471526517
1011053313063440
11358175807961a
1212a6258220014
1362242769b13b
142a2da9cc2944
151427c6d3277a
hexa0d8ccc7a10

11053313063440 has 40 divisors (see below), whose sum is σ = 25862640499800. Its totient is φ = 4393163913216.

The previous prime is 11053313063431. The next prime is 11053313063447. The reversal of 11053313063440 is 4436031335011.

It can be written as a sum of positive squares in 4 ways, for example, as 781236783376 + 10272076280064 = 883876^2 + 3205008^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 11053313063396 and 11053313063405.

It is not an unprimeable number, because it can be changed into a prime (11053313063447) 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, 440007865 + ... + 440032984.

It is an arithmetic number, because the mean of its divisors is an integer number (646566012495).

Almost surely, 211053313063440 is an apocalyptic number.

11053313063440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11053313063440 is an abundant number, since it is smaller than the sum of its proper divisors (14809327436360).

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

11053313063440 is a wasteful number, since it uses less digits than its factorization.

11053313063440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880041019 (or 880041013 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 34.

Adding to 11053313063440 its reverse (4436031335011), we get a palindrome (15489344398451).

The spelling of 11053313063440 in words is "eleven trillion, fifty-three billion, three hundred thirteen million, sixty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 157 314 628 785 1256 1570 2512 3140 6280 12560 880040849 1760081698 3520163396 4400204245 7040326792 8800408490 14080653584 17600816980 35201633960 70403267920 138166413293 276332826586 552665653172 690832066465 1105331306344 1381664132930 2210662612688 2763328265860 5526656531720 11053313063440