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21444120422244 = 2232131132931383937
BaseRepresentation
bin1001110000000110110010…
…01011100010011101100100
32210221001000121210222100100
410320003121023202131210
510302320024312002434
6113335143134344100
74342200203046402
oct470033113423544
983831017728310
1021444120422244
116918444a27603
1224a402065b030
13bc7230805a20
14541c88374472
15272c265dd699
hex1380d92e2764

21444120422244 has 144 divisors (see below), whose sum is σ = 59093300094192. Its totient is φ = 6517474983936.

The previous prime is 21444120422191. The next prime is 21444120422299. The reversal of 21444120422244 is 44222402144412.

21444120422244 is a `hidden beast` number, since 2 + 1 + 4 + 441 + 204 + 2 + 2 + 2 + 4 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 309872582244 + 21134247840000 = 556662^2 + 4597200^2 .

It is a super-3 number, since 3×214441204222443 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21444120422199 and 21444120422208.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14803044 + ... + 16186980.

It is an arithmetic number, because the mean of its divisors is an integer number (410370139543).

Almost surely, 221444120422244 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 21444120422244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29546650047096).

21444120422244 is an abundant number, since it is smaller than the sum of its proper divisors (37649179671948).

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

21444120422244 is a wasteful number, since it uses less digits than its factorization.

21444120422244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384366 (or 1384361 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

Adding to 21444120422244 its reverse (44222402144412), we get a palindrome (65666522566656).

The spelling of 21444120422244 in words is "twenty-one trillion, four hundred forty-four billion, one hundred twenty million, four hundred twenty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 113 117 156 226 234 293 339 452 468 586 678 879 1017 1172 1356 1469 1758 2034 2637 2938 3516 3809 4068 4407 5274 5876 7618 8814 10548 11427 13221 15236 17628 22854 26442 33109 34281 45708 52884 66218 68562 99327 132436 137124 198654 297981 397308 430417 595962 860834 1191924 1291251 1383937 1721668 2582502 2767874 3873753 4151811 5165004 5535748 7747506 8303622 12455433 15495012 16607244 17991181 24910866 35982362 49821732 53973543 71964724 107947086 156384881 161920629 215894172 312769762 323841258 405493541 469154643 625539524 647682516 810987082 938309286 1216480623 1407463929 1621974164 1876618572 2033003453 2432961246 2814927858 3649441869 4066006906 4865922492 5271416033 5629855716 6099010359 7298883738 8132013812 10542832066 12198020718 14597767476 15814248099 18297031077 21085664132 24396041436 31628496198 36594062154 45820770133 47442744297 63256992396 73188124308 91641540266 94885488594 137462310399 183283080532 189770977188 274924620798 412386931197 549849241596 595670011729 824773862394 1191340023458 1649547724788 1787010035187 2382680046916 3574020070374 5361030105561 7148040140748 10722060211122 21444120422244