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22443112121144 = 23112132377541917
BaseRepresentation
bin1010001101001011100011…
…01110011100001100111000
32221110112121001221101202012
411012211301232130030320
510420201443200334034
6115422120125425052
74504314145302161
oct506456156341470
987415531841665
1022443112121144
117173085779a00
122625760a0b188
13c6a4b7c18ba0
1457837690c768
1528dbe4583cce
hex146971b9c338

22443112121144 has 96 divisors (see below), whose sum is σ = 51977898473760. Its totient is φ = 9007268962560.

The previous prime is 22443112121041. The next prime is 22443112121267. The reversal of 22443112121144 is 44112121134422.

It is a happy number.

It is a super-3 number, since 3×224431121211443 (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22443112121144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38481527 + ... + 39060390.

It is an arithmetic number, because the mean of its divisors is an integer number (541436442435).

Almost surely, 222443112121144 is an apocalyptic number.

It is an amenable number.

22443112121144 is an abundant number, since it is smaller than the sum of its proper divisors (29534786352616).

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

22443112121144 is a wasteful number, since it uses less digits than its factorization.

22443112121144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77541981 (or 77541966 counting only the distinct ones).

The product of its digits is 12288, while the sum is 32.

Adding to 22443112121144 its reverse (44112121134422), we get a palindrome (66555233255566).

The spelling of 22443112121144 in words is "twenty-two trillion, four hundred forty-three billion, one hundred twelve million, one hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 13 22 23 26 44 46 52 88 92 104 121 143 184 242 253 286 299 484 506 572 598 968 1012 1144 1196 1573 2024 2392 2783 3146 3289 5566 6292 6578 11132 12584 13156 22264 26312 36179 72358 144716 289432 77541917 155083834 310167668 620335336 852961087 1008044921 1705922174 1783464091 2016089842 3411844348 3566928182 4032179684 6823688696 7133856364 8064359368 9382571957 11088494131 14267712728 18765143914 19618105001 22176988262 23185033183 37530287828 39236210002 44353976524 46370066366 75060575656 78472420004 88707953048 92740132732 121973435441 156944840008 185480265464 215799155011 243946870882 255035365013 431598310022 487893741764 510070730026 863196620044 975787483528 1020141460052 1726393240088 2040282920104 2805389015143 5610778030286 11221556060572 22443112121144