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4244424002420 = 2257432617269413
BaseRepresentation
bin111101110000111011011…
…000101000101101110100
3120000202121012120112100112
4331300323120220231310
51024020040021034140
613005510024402152
7615435532515140
oct75607330505564
916022535515315
104244424002420
111397060774358
12586721016358
1324a32a8b5274
14109607394220
15756194e1c65
hex3dc3b628b74

4244424002420 has 96 divisors (see below), whose sum is σ = 10427537395968. Its totient is φ = 1420840092672.

The previous prime is 4244424002419. The next prime is 4244424002447. The reversal of 4244424002420 is 242004244424.

It is a super-2 number, since 2×42444240024202 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15619634 + ... + 15889046.

It is an arithmetic number, because the mean of its divisors is an integer number (108620181208).

Almost surely, 24244424002420 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 4244424002420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5213768697984).

4244424002420 is an abundant number, since it is smaller than the sum of its proper divisors (6183113393548).

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

4244424002420 is a wasteful number, since it uses less digits than its factorization.

4244424002420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272089 (or 272087 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 4244424002420 its reverse (242004244424), we get a palindrome (4486428246844).

The spelling of 4244424002420 in words is "four trillion, two hundred forty-four billion, four hundred twenty-four million, two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 86 140 172 215 301 430 602 860 1204 1505 2617 3010 5234 6020 10468 13085 18319 26170 36638 52340 73276 91595 112531 183190 225062 269413 366380 450124 538826 562655 787717 1077652 1125310 1347065 1575434 1885891 2250620 2694130 3150868 3771782 3938585 5388260 7543564 7877170 9429455 11584759 15754340 18858910 23169518 37717820 46339036 57923795 81093313 115847590 162186626 231695180 324373252 405466565 705053821 810933130 1410107642 1621866260 2820215284 3525269105 4935376747 7050538210 9870753494 14101076420 19741506988 24676883735 30317314303 49353767470 60634628606 98707534940 121269257212 151586571515 212221200121 303173143030 424442400242 606346286060 848884800484 1061106000605 2122212001210 4244424002420