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22321142244544 = 26111315737154981
BaseRepresentation
bin1010001001101000010111…
…10000010010010011000000
32221000212202210002200120011
411010310023300102103000
510411202144403311134
6115250105143554304
74462435466406253
oct504641360222300
987025683080504
1022321142244544
1171263859823a0
122605ba145b994
13c5bb4a8a3680
145724c5b0d09a
1528a9566bb264
hex144d0bc124c0

22321142244544 has 112 divisors (see below), whose sum is σ = 52040780892576. Its totient is φ = 9364858675200.

The previous prime is 22321142244521. The next prime is 22321142244563. The reversal of 22321142244544 is 44544224112322.

It is a super-3 number, since 3×223211422445443 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 22321142244497 and 22321142244506.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143947534 + ... + 144102514.

It is an arithmetic number, because the mean of its divisors is an integer number (464649829398).

Almost surely, 222321142244544 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 22321142244544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26020390446288).

22321142244544 is an abundant number, since it is smaller than the sum of its proper divisors (29719638648032).

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

22321142244544 is a wasteful number, since it uses less digits than its factorization.

22321142244544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170754 (or 170744 counting only the distinct ones).

The product of its digits is 491520, while the sum is 40.

Adding to 22321142244544 its reverse (44544224112322), we get a palindrome (66865366356866).

The spelling of 22321142244544 in words is "twenty-two trillion, three hundred twenty-one billion, one hundred forty-two million, two hundred forty-four thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 143 176 208 286 352 416 572 704 832 1144 2288 4576 9152 15737 31474 62948 125896 154981 173107 204581 251792 309962 346214 409162 503584 619924 692428 818324 1007168 1239848 1384856 1636648 1704791 2014753 2250391 2479696 2769712 3273296 3409582 4029506 4500782 4959392 5539424 6546592 6819164 8059012 9001564 9918784 11078848 13093184 13638328 16118024 18003128 22162283 27276656 32236048 36006256 44324566 54553312 64472096 72012512 88649132 109106624 128944192 144025024 177298264 354596528 709193056 1418386112 2438935997 4877871994 9755743988 19511487976 26828295967 31706167961 39022975952 53656591934 63412335922 78045951904 107313183868 126824671844 156091903808 214626367736 253649343688 348767847571 429252735472 507298687376 697535695142 858505470944 1014597374752 1395071390284 1717010941888 2029194749504 2790142780568 5580285561136 11160571122272 22321142244544