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4240314200 = 235221619811
BaseRepresentation
bin1111110010111110…
…0000111101011000
3101221111220021120002
43330233200331120
532141010023300
61540432352132
7210036035033
oct37457407530
911844807502
104240314200
111886601901
129a40a5648
13527652575
142c322c01a
1519c3e45d5
hexfcbe0f58

4240314200 has 48 divisors (see below), whose sum is σ = 9864297960. Its totient is φ = 1695168000.

The previous prime is 4240314193. The next prime is 4240314203. The reversal of 4240314200 is 24130424.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4240314203) 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 11 ways as a sum of consecutive naturals, for example, 427295 + ... + 437105.

Almost surely, 24240314200 is an apocalyptic number.

4240314200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4240314200 is an abundant number, since it is smaller than the sum of its proper divisors (5623983760).

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

4240314200 is a wasteful number, since it uses less digits than its factorization.

4240314200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11988 (or 11979 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4240314200 is about 65117.6949837753. The cubic root of 4240314200 is about 1618.5744457630.

Adding to 4240314200 its reverse (24130424), we get a palindrome (4264444624).

The spelling of 4240314200 in words is "four billion, two hundred forty million, three hundred fourteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 2161 4322 8644 9811 10805 17288 19622 21610 39244 43220 49055 54025 78488 86440 98110 108050 196220 216100 245275 392440 432200 490550 981100 1962200 21201571 42403142 84806284 106007855 169612568 212015710 424031420 530039275 848062840 1060078550 2120157100 4240314200