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424131422320 = 245199117122751
BaseRepresentation
bin1100010110000000011…
…00111110100001110000
31111112202110002122020001
412023000030332201300
523422110121003240
6522502052155344
742433241414644
oct6130014764160
91445673078201
10424131422320
11153967149131
126a248908b54
1330cc2c30668
141675704cc24
15b0751e989a
hex62c033e870

424131422320 has 80 divisors (see below), whose sum is σ = 991950796800. Its totient is φ = 168648480000.

The previous prime is 424131422287. The next prime is 424131422321. The reversal of 424131422320 is 23224131424.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424131422321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18630945 + ... + 18653695.

It is an arithmetic number, because the mean of its divisors is an integer number (12399384960).

Almost surely, 2424131422320 is an apocalyptic number.

424131422320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424131422320 is an abundant number, since it is smaller than the sum of its proper divisors (567819374480).

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

424131422320 is a wasteful number, since it uses less digits than its factorization.

424131422320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24134 (or 24128 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 424131422320 its reverse (23224131424), we get a palindrome (447355553744).

The spelling of 424131422320 in words is "four hundred twenty-four billion, one hundred thirty-one million, four hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 199 398 796 995 1171 1592 1990 2342 3184 3980 4684 5855 7960 9368 11710 15920 18736 22751 23420 45502 46840 91004 93680 113755 182008 227510 233029 364016 455020 466058 910040 932116 1165145 1820080 1864232 2330290 3728464 4527449 4660580 9054898 9321160 18109796 18642320 22637245 26641421 36219592 45274490 53282842 72439184 90548980 106565684 133207105 181097960 213131368 266414210 362195920 426262736 532828420 1065656840 2131313680 5301642779 10603285558 21206571116 26508213895 42413142232 53016427790 84826284464 106032855580 212065711160 424131422320