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11000140331024 = 2413197268453249
BaseRepresentation
bin1010000000010010101101…
…1101001111100000010000
31102221121021200201020021202
42200010223131033200100
52420211241411043044
635221221131210332
72213506506032555
oct240045335174020
942847250636252
1011000140331024
113561151497769
121297a988a69a8
1361a402518c70
142a05a4064a2c
15141213b78c4e
hexa012b74f810

11000140331024 has 40 divisors (see below), whose sum is σ = 23068724679000. Its totient is φ = 5051216314368.

The previous prime is 11000140330943. The next prime is 11000140331027. The reversal of 11000140331024 is 42013304100011.

It can be written as a sum of positive squares in 4 ways, for example, as 5097028675600 + 5903111655424 = 2257660^2 + 2429632^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11000140330987 and 11000140331005.

It is not an unprimeable number, because it can be changed into a prime (11000140331027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134185649 + ... + 134267600.

It is an arithmetic number, because the mean of its divisors is an integer number (576718116975).

Almost surely, 211000140331024 is an apocalyptic number.

It is an amenable number.

11000140331024 is an abundant number, since it is smaller than the sum of its proper divisors (12068584347976).

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

11000140331024 is a wasteful number, since it uses less digits than its factorization.

11000140331024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268453467 (or 268453461 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 11000140331024 its reverse (42013304100011), we get a palindrome (53013444431035).

The spelling of 11000140331024 in words is "eleven trillion, one hundred forty million, three hundred thirty-one thousand, twenty-four".

Divisors: 1 2 4 8 13 16 26 52 104 197 208 394 788 1576 2561 3152 5122 10244 20488 40976 268453249 536906498 1073812996 2147625992 3489892237 4295251984 6979784474 13959568948 27919137896 52885290053 55838275792 105770580106 211541160212 423082320424 687508770689 846164640848 1375017541378 2750035082756 5500070165512 11000140331024