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4244012311220 = 22511107263685511
BaseRepresentation
bin111101110000100010110…
…110001010001010110100
3120000201112111220110012022
4331300202312022022310
51024013214122424340
613005401120412312
7615422403301223
oct75604266121264
916021474813168
104244012311220
11139696a3436a0
12586627177098
1324a29350c3c6
141095a8828cba
15755e32be3b5
hex3dc22d8a2b4

4244012311220 has 96 divisors (see below), whose sum is σ = 9850840344576. Its totient is φ = 1523038697600.

The previous prime is 4244012311151. The next prime is 4244012311229. The reversal of 4244012311220 is 221132104424.

It is a super-2 number, since 2×42440123112202 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4244012311220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4244012311229) 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, 5848265 + ... + 6533775.

It is an arithmetic number, because the mean of its divisors is an integer number (102612920256).

Almost surely, 24244012311220 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 4244012311220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4925420172288).

4244012311220 is an abundant number, since it is smaller than the sum of its proper divisors (5606828033356).

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

4244012311220 is a wasteful number, since it uses less digits than its factorization.

4244012311220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685901 (or 685899 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 4244012311220 its reverse (221132104424), we get a palindrome (4465144415644).

The spelling of 4244012311220 in words is "four trillion, two hundred forty-four billion, twelve million, three hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 107 110 214 220 263 428 526 535 1052 1070 1177 1315 2140 2354 2630 2893 4708 5260 5786 5885 11572 11770 14465 23540 28141 28930 56282 57860 112564 140705 281410 309551 562820 619102 685511 1238204 1371022 1547755 2742044 3095510 3427555 6191020 6855110 7540621 13710220 15081242 30162484 37703105 73349677 75406210 146699354 150812420 180289393 293398708 360578786 366748385 721157572 733496770 806846447 901446965 1466993540 1613692894 1802893930 1983183323 3227385788 3605787860 3966366646 4034232235 7932733292 8068464470 9915916615 16136928940 19290965051 19831833230 38581930102 39663666460 77163860204 96454825255 192909650510 212200615561 385819301020 424401231122 848802462244 1061003077805 2122006155610 4244012311220