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4400124420 = 2235598591447
BaseRepresentation
bin1000001100100010…
…01001001000000100
3102100122121110222010
410012101021020010
533002412440140
62004341534220
7214016304036
oct40621111004
912318543863
104400124420
11195883466a
12a29714370
135517a7823
142da54bc56
151ab460880
hex106449204

4400124420 has 96 divisors (see below), whose sum is σ = 12552422400. Its totient is φ = 1151339904.

The previous prime is 4400124409. The next prime is 4400124427. The reversal of 4400124420 is 244210044.

It is a super-2 number, since 2×44001244202 = 38722189822960672800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4400124427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3040137 + ... + 3041583.

It is an arithmetic number, because the mean of its divisors is an integer number (130754400).

Almost surely, 24400124420 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 4400124420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6276211200).

4400124420 is an abundant number, since it is smaller than the sum of its proper divisors (8152297980).

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

4400124420 is a wasteful number, since it uses less digits than its factorization.

4400124420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2377 (or 2375 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 4400124420 is about 66333.4336515154. The cubic root of 4400124420 is about 1638.6579865031.

Adding to 4400124420 its reverse (244210044), we get a palindrome (4644334464).

The spelling of 4400124420 in words is "four billion, four hundred million, one hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 177 236 295 354 590 708 859 885 1180 1447 1718 1770 2577 2894 3436 3540 4295 4341 5154 5788 7235 8590 8682 10308 12885 14470 17180 17364 21705 25770 28940 43410 50681 51540 85373 86820 101362 152043 170746 202724 253405 256119 304086 341492 426865 506810 512238 608172 760215 853730 1013620 1024476 1242973 1280595 1520430 1707460 2485946 2561190 3040860 3728919 4971892 5122380 6214865 7457838 12429730 14915676 18644595 24859460 37289190 73335407 74578380 146670814 220006221 293341628 366677035 440012442 733354070 880024884 1100031105 1466708140 2200062210 4400124420