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135503342415 = 3257261452763
BaseRepresentation
bin111111000110010100…
…0001110101101001111
3110221202110110000011200
41332030220032231033
54210002323424130
6142125510520543
712534620256300
oct1761450165517
9427673400150
10135503342415
1152515116801
1222317966153
13ca160b896c
1467b63527a7
1537d1093760
hex1f8ca0eb4f

135503342415 has 36 divisors (see below), whose sum is σ = 273218988744. Its totient is φ = 61944384096.

The previous prime is 135503342407. The next prime is 135503342419. The reversal of 135503342415 is 514243305531.

135503342415 is a `hidden beast` number, since 1 + 35 + 50 + 334 + 241 + 5 = 666.

It is not a de Polignac number, because 135503342415 - 23 = 135503342407 is a prime.

It is a super-2 number, since 2×1355033424152 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 135503342415.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135503342419) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30724177 + ... + 30728586.

It is an arithmetic number, because the mean of its divisors is an integer number (7589416354).

Almost surely, 2135503342415 is an apocalyptic number.

135503342415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

135503342415 is an abundant number, since it is smaller than the sum of its proper divisors (137715646329).

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

135503342415 is a wasteful number, since it uses less digits than its factorization.

135503342415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61452788 (or 61452778 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 135503342415 its reverse (514243305531), we get a palindrome (649746647946).

The spelling of 135503342415 in words is "one hundred thirty-five billion, five hundred three million, three hundred forty-two thousand, four hundred fifteen".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 2205 61452763 184358289 307263815 430169341 553074867 921791445 1290508023 2150846705 2765374335 3011185387 3871524069 6452540115 9033556161 15055926935 19357620345 27100668483 45167780805 135503342415