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4420220424040 = 2351721193320513
BaseRepresentation
bin100000001010010100110…
…1010110000111101101000
3120122120100202120001010001
41000110221222300331220
51034410102412032130
613222342104032344
7634231116451531
oct100245152607550
916576322501101
104420220424040
111454672215913
125b4802a626b4
13260a9569a115
14113d22ba5688
1579ea7b606ca
hex40529ab0f68

4420220424040 has 96 divisors (see below), whose sum is σ = 10573827373080. Its totient is φ = 1662682923008.

The previous prime is 4420220423987. The next prime is 4420220424041. The reversal of 4420220424040 is 404240220244.

It can be written as a sum of positive squares in 12 ways, for example, as 960999853636 + 3459220570404 = 980306^2 + 1859898^2 .

It is not an unprimeable number, because it can be changed into a prime (4420220424041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13630824 + ... + 13951336.

Almost surely, 24420220424040 is an apocalyptic number.

4420220424040 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 4420220424040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5286913686540).

4420220424040 is an abundant number, since it is smaller than the sum of its proper divisors (6153606949040).

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

4420220424040 is a wasteful number, since it uses less digits than its factorization.

4420220424040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321751 (or 321730 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 4420220424040 its reverse (404240220244), we get a palindrome (4824460644284).

The spelling of 4420220424040 in words is "four trillion, four hundred twenty billion, two hundred twenty million, four hundred twenty-four thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 289 340 578 680 1156 1193 1445 2312 2386 2890 4772 5780 5965 9544 11560 11930 20281 23860 40562 47720 81124 101405 162248 202810 320513 344777 405620 641026 689554 811240 1282052 1379108 1602565 1723885 2564104 2758216 3205130 3447770 5448721 6410260 6895540 10897442 12820520 13791080 21794884 27243605 43589768 54487210 92628257 108974420 185256514 217948840 370513028 382372009 463141285 741026056 764744018 926282570 1529488036 1852565140 1911860045 3058976072 3705130280 3823720090 6500324153 7647440180 13000648306 15294880360 26001296612 32501620765 52002593224 65003241530 110505510601 130006483060 221011021202 260012966120 442022042404 552527553005 884044084808 1105055106010 2210110212020 4420220424040