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11240411340340 = 22571319325055273
BaseRepresentation
bin1010001110010001110010…
…1110011001111000110100
31110210120110121000011011201
42203210130232121320310
52433130330300342330
635523435040542244
72240043604644160
oct243443456317064
943716417004151
1011240411340340
11364403918a246
121316573021984
13636c73aa7a20
142ac0786dbca0
151475c77b8eca
hexa391cb99e34

11240411340340 has 96 divisors (see below), whose sum is σ = 30581200177920. Its totient is φ = 3370173060096.

The previous prime is 11240411340307. The next prime is 11240411340383. The reversal of 11240411340340 is 4304311404211.

11240411340340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112404113403402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 11240411340299 and 11240411340308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162493057 + ... + 162562216.

It is an arithmetic number, because the mean of its divisors is an integer number (318554168520).

Almost surely, 211240411340340 is an apocalyptic number.

11240411340340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11240411340340 is an abundant number, since it is smaller than the sum of its proper divisors (19340788837580).

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

11240411340340 is a wasteful number, since it uses less digits than its factorization.

11240411340340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325055321 (or 325055319 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 11240411340340 its reverse (4304311404211), we get a palindrome (15544722744551).

The spelling of 11240411340340 in words is "eleven trillion, two hundred forty billion, four hundred eleven million, three hundred forty thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 13 14 19 20 26 28 35 38 52 65 70 76 91 95 130 133 140 182 190 247 260 266 364 380 455 494 532 665 910 988 1235 1330 1729 1820 2470 2660 3458 4940 6916 8645 17290 34580 325055273 650110546 1300221092 1625276365 2275386911 3250552730 4225718549 4550773822 6176050187 6501105460 8451437098 9101547644 11376934555 12352100374 16902874196 21128592745 22753869110 24704200748 29580029843 30880250935 42257185490 43232351309 45507738220 59160059686 61760501870 80288652431 84514370980 86464702618 118320119372 123521003740 147900149215 160577304862 172929405236 216161756545 295800298430 321154609724 401443262155 432323513090 562020567017 591600596860 802886524310 864647026180 1124041134034 1605773048620 2248082268068 2810102835085 5620205670170 11240411340340