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4300444140 = 2235378323339
BaseRepresentation
bin1000000000101001…
…11001000111101100
3102002201001012022220
410000110321013230
532301403203030
61550421235340
7211366113006
oct40024710754
912081035286
104300444140
111907541373
12a00262b50
13536c46705
142cb201376
151a2820a10
hex1005391ec

4300444140 has 96 divisors (see below), whose sum is σ = 12516215040. Its totient is φ = 1102300416.

The previous prime is 4300444123. The next prime is 4300444153. The reversal of 4300444140 is 414440034.

It is a self number, because there is not a number n which added to its sum of digits gives 4300444140.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172591 + ... + 195929.

It is an arithmetic number, because the mean of its divisors is an integer number (130377240).

Almost surely, 24300444140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4300444140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6258107520).

4300444140 is an abundant number, since it is smaller than the sum of its proper divisors (8215770900).

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

4300444140 is a wasteful number, since it uses less digits than its factorization.

4300444140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23471 (or 23469 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4300444140 is about 65577.7716913285. The cubic root of 4300444140 is about 1626.1893166399.

Adding to 4300444140 its reverse (414440034), we get a palindrome (4714884174).

The spelling of 4300444140 in words is "four billion, three hundred million, four hundred forty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 83 111 148 166 185 222 249 332 370 415 444 498 555 740 830 996 1110 1245 1660 2220 2490 3071 4980 6142 9213 12284 15355 18426 23339 30710 36852 46065 46678 61420 70017 92130 93356 116695 140034 184260 233390 280068 350085 466780 700170 863543 1400340 1727086 1937137 2590629 3454172 3874274 4317715 5181258 5811411 7748548 8635430 9685685 10362516 11622822 12953145 17270860 19371370 23245644 25906290 29057055 38742740 51812580 58114110 71674069 116228220 143348138 215022207 286696276 358370345 430044414 716740690 860088828 1075111035 1433481380 2150222070 4300444140