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4401125000 = 2356137257
BaseRepresentation
bin1000001100101001…
…11101011010001000
3102100201111022111122
410012110331122020
533003142000000
62004415214412
7214030642136
oct40624753210
912321438448
104401125000
111959358398
12a29b17408
13551a6809c
142da72c756
151ab5ac085
hex10653d688

4401125000 has 112 divisors (see below), whose sum is σ = 10430725860. Its totient is φ = 1740800000.

The previous prime is 4401124991. The next prime is 4401125009. The reversal of 4401125000 is 5211044.

It is an interprime number because it is at equal distance from previous prime (4401124991) and next prime (4401125009).

It can be written as a sum of positive squares in 14 ways, for example, as 2426744644 + 1974380356 = 49262^2 + 44434^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4401125000.

It is not an unprimeable number, because it can be changed into a prime (4401125009) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 17124872 + ... + 17125128.

Almost surely, 24401125000 is an apocalyptic number.

4401125000 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 4401125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5215362930).

4401125000 is an abundant number, since it is smaller than the sum of its proper divisors (6029600860).

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

4401125000 is an equidigital number, since it uses as much as digits as its factorization.

4401125000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 4401125000 is about 66340.9752716977. The cubic root of 4401125000 is about 1638.7821863352.

Adding to 4401125000 its reverse (5211044), we get a palindrome (4406336044).

The spelling of 4401125000 in words is "four billion, four hundred one million, one hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 137 200 250 257 274 500 514 548 625 685 1000 1028 1096 1250 1285 1370 2056 2500 2570 2740 3125 3425 5000 5140 5480 6250 6425 6850 10280 12500 12850 13700 15625 17125 25000 25700 27400 31250 32125 34250 35209 51400 62500 64250 68500 70418 85625 125000 128500 137000 140836 160625 171250 176045 257000 281672 321250 342500 352090 428125 642500 685000 704180 803125 856250 880225 1285000 1408360 1606250 1712500 1760450 2140625 3212500 3425000 3520900 4015625 4281250 4401125 6425000 7041800 8031250 8562500 8802250 16062500 17125000 17604500 22005625 32125000 35209000 44011250 88022500 110028125 176045000 220056250 440112500 550140625 880225000 1100281250 2200562500 4401125000