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4104045330 = 235711314683
BaseRepresentation
bin1111010010011110…
…1100001100010010
3101121000111002210220
43310213230030102
531401113422310
61515123533510
7203462544510
oct36447541422
911530432726
104104045330
111816699000
1296652a296
135053505b8
142ad0b94b0
15190478670
hexf49ec312

4104045330 has 128 divisors (see below), whose sum is σ = 12382488576. Its totient is φ = 852730560.

The previous prime is 4104045317. The next prime is 4104045343. The reversal of 4104045330 is 335404014.

4104045330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4104045317) and next prime (4104045343).

It is a self number, because there is not a number n which added to its sum of digits gives 4104045330.

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, 272169 + ... + 286851.

It is an arithmetic number, because the mean of its divisors is an integer number (96738192).

Almost surely, 24104045330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4104045330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6191244288).

4104045330 is an abundant number, since it is smaller than the sum of its proper divisors (8278443246).

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

4104045330 is a wasteful number, since it uses less digits than its factorization.

4104045330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14733 (or 14711 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 4104045330 is about 64062.8233065013. The cubic root of 4104045330 is about 1601.0468838824.

Adding to 4104045330 its reverse (335404014), we get a palindrome (4439449344).

The spelling of 4104045330 in words is "four billion, one hundred four million, forty-five thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 121 154 165 210 231 242 330 363 385 462 605 726 770 847 1155 1210 1331 1694 1815 2310 2541 2662 3630 3993 4235 5082 6655 7986 8470 9317 12705 13310 14683 18634 19965 25410 27951 29366 39930 44049 46585 55902 73415 88098 93170 102781 139755 146830 161513 205562 220245 279510 308343 323026 440490 484539 513905 616686 807565 969078 1027810 1130591 1541715 1615130 1776643 2261182 2422695 3083430 3391773 3553286 4845390 5329929 5652955 6783546 8883215 10659858 11305910 12436501 16958865 17766430 19543073 24873002 26649645 33917730 37309503 39086146 53299290 58629219 62182505 74619006 97715365 117258438 124365010 136801511 186547515 195430730 273603022 293146095 373095030 410404533 586292190 684007555 820809066 1368015110 2052022665 4104045330