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4241324240 = 2452915112107
BaseRepresentation
bin1111110011001101…
…0111100011010000
3101221120210121001222
43330303113203100
532141234333430
61540510144212
7210050442536
oct37463274320
911846717058
104241324240
11188713174a
129a44b2068
1352791721a
142c3412156
1519c5439e5
hexfccd78d0

4241324240 has 80 divisors (see below), whose sum is σ = 10269521280. Its totient is φ = 1627046400.

The previous prime is 4241324207. The next prime is 4241324261. The reversal of 4241324240 is 424231424.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 344267 + ... + 356373.

It is an arithmetic number, because the mean of its divisors is an integer number (128369016).

Almost surely, 24241324240 is an apocalyptic number.

4241324240 is a gapful number since it is divisible by the number (40) 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 4241324240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5134760640).

4241324240 is an abundant number, since it is smaller than the sum of its proper divisors (6028197040).

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

4241324240 is a wasteful number, since it uses less digits than its factorization.

4241324240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12300 (or 12294 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 4241324240 is about 65125.4500176390. The cubic root of 4241324240 is about 1618.7029500097.

Adding to 4241324240 its reverse (424231424), we get a palindrome (4665555664).

The spelling of 4241324240 in words is "four billion, two hundred forty-one million, three hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 151 232 290 302 464 580 604 755 1160 1208 1510 2320 2416 3020 4379 6040 8758 12080 12107 17516 21895 24214 35032 43790 48428 60535 70064 87580 96856 121070 175160 193712 242140 350320 351103 484280 702206 968560 1404412 1755515 1828157 2808824 3511030 3656314 5617648 7022060 7312628 9140785 14044120 14625256 18281570 28088240 29250512 36563140 53016553 73126280 106033106 146252560 212066212 265082765 424132424 530165530 848264848 1060331060 2120662120 4241324240