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634430043243240 = 2335179619253918793
BaseRepresentation
bin1001000001000000101100000…
…1010111001100001011101000
310002012022220211112111220001220
42100100023001113030023220
51131124000212032240430
610125153045512542040
7250430025621136116
oct22020130127141350
93065286745456056
10634430043243240
111741702a7943302
125b1a49619b1920
132130065b6a882a
14b294813bc0ab6
154d52eac167110
hex24102c15cc2e8

634430043243240 has 256 divisors, whose sum is σ = 1917872069760000. Its totient is φ = 167889322764288.

The previous prime is 634430043243223. The next prime is 634430043243307. The reversal of 634430043243240 is 42342340034436.

It is a junction number, because it is equal to n+sod(n) for n = 634430043243192 and 634430043243201.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33758839284 + ... + 33758858076.

It is an arithmetic number, because the mean of its divisors is an integer number (7491687772500).

Almost surely, 2634430043243240 is an apocalyptic number.

634430043243240 is a gapful number since it is divisible by the number (60) 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 634430043243240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958936034880000).

634430043243240 is an abundant number, since it is smaller than the sum of its proper divisors (1283442026516760).

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

634430043243240 is a wasteful number, since it uses less digits than its factorization.

634430043243240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22144 (or 22140 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 42.

Adding to 634430043243240 its reverse (42342340034436), we get a palindrome (676772383277676).

The spelling of 634430043243240 in words is "six hundred thirty-four trillion, four hundred thirty billion, forty-three million, two hundred forty-three thousand, two hundred forty".