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40323434420120 = 23543114672044463
BaseRepresentation
bin10010010101100100001111…
…11111000001011110011000
312021202212211110211221000112
421022302013333001132120
520241124343202420440
6221432155142223452
711331162203205545
oct1112620777013630
9167685743757015
1040323434420120
1111937088556025
124632b50724b88
131966639488947
149d5943aadbcc
1549dd898ec965
hex24ac87fc1798

40323434420120 has 64 divisors (see below), whose sum is σ = 92845816081920. Its totient is φ = 15752890468224.

The previous prime is 40323434420089. The next prime is 40323434420123. The reversal of 40323434420120 is 2102443432304.

40323434420120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40323434420123) by changing a digit.

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, 18701009 + ... + 20745471.

It is an arithmetic number, because the mean of its divisors is an integer number (1450715876280).

Almost surely, 240323434420120 is an apocalyptic number.

40323434420120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40323434420120 is an abundant number, since it is smaller than the sum of its proper divisors (52522381661800).

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

40323434420120 is a wasteful number, since it uses less digits than its factorization.

40323434420120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2055984 (or 2055980 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 40323434420120 its reverse (2102443432304), we get a palindrome (42425877852424).

The spelling of 40323434420120 in words is "forty trillion, three hundred twenty-three billion, four hundred thirty-four million, four hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 430 860 1720 11467 22934 45868 57335 91736 114670 229340 458680 493081 986162 1972324 2044463 2465405 3944648 4088926 4930810 8177852 9861620 10222315 16355704 19723240 20444630 40889260 81778520 87911909 175823818 351647636 439559545 703295272 879119090 1758238180 3516476360 23443857221 46887714442 93775428884 117219286105 187550857768 234438572210 468877144420 937754288840 1008085860503 2016171721006 4032343442012 5040429302515 8064686884024 10080858605030 20161717210060 40323434420120