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4241328120 = 2332580914563
BaseRepresentation
bin1111110011001101…
…1000011111111000
3101221120210210101200
43330303120133320
532141234444440
61540510214200
7210050460051
oct37463303770
911846723350
104241328120
111887134657
129a44b4360
13527918c13
142c3413728
1519c544c30
hexfccd87f8

4241328120 has 96 divisors (see below), whose sum is σ = 13802302800. Its totient is φ = 1129545216.

The previous prime is 4241328089. The next prime is 4241328131. The reversal of 4241328120 is 218231424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 283959 + ... + 298521.

Almost surely, 24241328120 is an apocalyptic number.

4241328120 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 4241328120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6901151400).

4241328120 is an abundant number, since it is smaller than the sum of its proper divisors (9560974680).

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

4241328120 is a wasteful number, since it uses less digits than its factorization.

4241328120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15389 (or 15382 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4241328120 is about 65125.4798062939. The cubic root of 4241328120 is about 1618.7034436107.

Adding to 4241328120 its reverse (218231424), we get a palindrome (4459559544).

The spelling of 4241328120 in words is "four billion, two hundred forty-one million, three hundred twenty-eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 809 1618 2427 3236 4045 4854 6472 7281 8090 9708 12135 14562 14563 16180 19416 24270 29124 29126 32360 36405 43689 48540 58248 58252 72810 72815 87378 97080 116504 131067 145620 145630 174756 218445 262134 291240 291260 349512 436890 524268 582520 655335 873780 1048536 1310670 1747560 2621340 5242680 11781467 23562934 35344401 47125868 58907335 70688802 94251736 106033203 117814670 141377604 176722005 212066406 235629340 282755208 353444010 424132812 471258680 530166015 706888020 848265624 1060332030 1413776040 2120664060 4241328120