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11014345040 = 2451131218401
BaseRepresentation
bin10100100001000000…
…11001000101010000
31001102121102200221012
422100200121011100
5140024133020130
65020535350052
7536642250056
oct122040310520
931377380835
1011014345040
1147423464a6
122174822328
131066baab3a
14766b661d6
15446e74995
hex290819150

11014345040 has 40 divisors (see below), whose sum is σ = 25834996008. Its totient is φ = 4366745600.

The previous prime is 11014345039. The next prime is 11014345063. The reversal of 11014345040 is 4054341011.

It can be written as a sum of positive squares in 4 ways, for example, as 1602240784 + 9412104256 = 40028^2 + 97016^2 .

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

It is a super-4 number, since 4×110143450404 (a number of 41 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11014344997 and 11014345015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 600161 + ... + 618240.

Almost surely, 211014345040 is an apocalyptic number.

11014345040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11014345040 is an abundant number, since it is smaller than the sum of its proper divisors (14820650968).

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

11014345040 is a wasteful number, since it uses less digits than its factorization.

11014345040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218527 (or 1218521 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 11014345040 its reverse (4054341011), we get a palindrome (15068686051).

The spelling of 11014345040 in words is "eleven billion, fourteen million, three hundred forty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 452 565 904 1130 1808 2260 4520 9040 1218401 2436802 4873604 6092005 9747208 12184010 19494416 24368020 48736040 97472080 137679313 275358626 550717252 688396565 1101434504 1376793130 2202869008 2753586260 5507172520 11014345040