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240341114424 = 23353509371213
BaseRepresentation
bin1101111111010101110…
…0100101111000111000
3211222100210012122000110
43133311130211320320
512414204311130144
6302224452104320
723235606523335
oct3376534457070
9758323178013
10240341114424
1192a23325594
123a6b59050a0
1319882c66398
14b8bdac598c
1563b9d8c0b9
hex37f5725e38

240341114424 has 64 divisors (see below), whose sum is σ = 613394013600. Its totient is φ = 78447489536.

The previous prime is 240341114411. The next prime is 240341114483. The reversal of 240341114424 is 424411143042.

It is a happy number.

240341114424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 240341114391 and 240341114400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 461842 + ... + 833054.

Almost surely, 2240341114424 is an apocalyptic number.

240341114424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240341114424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306697006800).

240341114424 is an abundant number, since it is smaller than the sum of its proper divisors (373052899176).

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

240341114424 is a wasteful number, since it uses less digits than its factorization.

240341114424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371784 (or 371780 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 240341114424 its reverse (424411143042), we get a palindrome (664752257466).

The spelling of 240341114424 in words is "two hundred forty billion, three hundred forty-one million, one hundred fourteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 318 424 509 636 1018 1272 1527 2036 3054 4072 6108 12216 26977 53954 80931 107908 161862 215816 323724 371213 647448 742426 1113639 1484852 2227278 2969704 4454556 8909112 19674289 39348578 59022867 78697156 118045734 157394312 188947417 236091468 377894834 472182936 566842251 755789668 1133684502 1511579336 2267369004 4534738008 10014213101 20028426202 30042639303 40056852404 60085278606 80113704808 120170557212 240341114424