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11340503415 = 345671812309
BaseRepresentation
bin10101000111111001…
…00101100101110111
31002021100011021010000
422203330211211313
5141211132102130
65113150202343
7551012455113
oct124374454567
932240137100
1011340503415
11489a46707a
122245ab33b3
1310b9637167
147981c8743
154658ee260
hex2a3f25977

11340503415 has 80 divisors (see below), whose sum is σ = 20755294560. Its totient is φ = 5922512640.

The previous prime is 11340503401. The next prime is 11340503423. The reversal of 11340503415 is 51430504311.

It is a happy number.

11340503415 is a `hidden beast` number, since 113 + 4 + 0 + 503 + 41 + 5 = 666.

It is not a de Polignac number, because 11340503415 - 210 = 11340502391 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4910281 + ... + 4912589.

It is an arithmetic number, because the mean of its divisors is an integer number (259441182).

Almost surely, 211340503415 is an apocalyptic number.

11340503415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11340503415 is a deficient number, since it is larger than the sum of its proper divisors (9414791145).

11340503415 is a wasteful number, since it uses less digits than its factorization.

11340503415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2574 (or 2565 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 11340503415 in words is "eleven billion, three hundred forty million, five hundred three thousand, four hundred fifteen".

Divisors: 1 3 5 9 15 27 45 67 81 135 181 201 335 405 543 603 905 1005 1629 1809 2309 2715 3015 4887 5427 6927 8145 9045 11545 12127 14661 20781 24435 27135 34635 36381 60635 62343 73305 103905 109143 154703 181905 187029 311715 327429 417929 464109 545715 773515 935145 982287 1253787 1392327 1637145 2089645 2320545 3761361 4176981 4911435 6268935 6961635 11284083 12530943 18806805 20884905 28001243 33852249 56420415 62654715 84003729 140006215 169261245 252011187 420018645 756033561 1260055935 2268100683 3780167805 11340503415