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2400430201240 = 235445713464383
BaseRepresentation
bin100010111011100100110…
…010100001100110011000
322111110221002220201010011
4202323210302201212120
5303312040112414430
65034424205531304
7335265620025061
oct42734462414630
98443832821104
102400430201240
118460202a67a5
12329277273b34
1314548a059756
1484277c39568
154269255322a
hex22ee4ca1998

2400430201240 has 32 divisors (see below), whose sum is σ = 5402180148480. Its totient is φ = 959956579072.

The previous prime is 2400430201219. The next prime is 2400430201241. The reversal of 2400430201240 is 421020340042.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400430201241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6553912 + ... + 6910471.

It is an arithmetic number, because the mean of its divisors is an integer number (168818129640).

Almost surely, 22400430201240 is an apocalyptic number.

2400430201240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400430201240 is an abundant number, since it is smaller than the sum of its proper divisors (3001749947240).

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

2400430201240 is a wasteful number, since it uses less digits than its factorization.

2400430201240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13468851 (or 13468847 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 2400430201240 its reverse (421020340042), we get a palindrome (2821450541282).

The spelling of 2400430201240 in words is "two trillion, four hundred billion, four hundred thirty million, two hundred one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 4457 8914 17828 22285 35656 44570 89140 178280 13464383 26928766 53857532 67321915 107715064 134643830 269287660 538575320 60010755031 120021510062 240043020124 300053775155 480086040248 600107550310 1200215100620 2400430201240