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44411222211444 = 2232113711326823619
BaseRepresentation
bin10100001100100010010110…
…00111111011101101110100
312211020200010102202111021100
422012101023013323231310
521310113140341231234
6234242122301250100
712232414326140364
oct1206211307735564
9184220112674240
1044411222211444
111317276a15a650
124b93238563930
131ba1c6398c01a
14ad772c1b29a4
15520387905399
hex28644b1fbb74

44411222211444 has 144 divisors (see below), whose sum is σ = 126890314649280. Its totient is φ = 12978339333120.

The previous prime is 44411222211409. The next prime is 44411222211457.

44411222211444 is a `hidden beast` number, since 4 + 4 + 411 + 2 + 2 + 221 + 14 + 4 + 4 = 666.

44411222211444 is nontrivially palindromic in base 10.

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

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 44411222211399 and 44411222211408.

It is a congruent number.

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, 11756134 + ... + 15067485.

It is an arithmetic number, because the mean of its divisors is an integer number (881182740620).

Almost surely, 244411222211444 is an apocalyptic number.

44411222211444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44411222211444 is an abundant number, since it is smaller than the sum of its proper divisors (82479092437836).

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

44411222211444 is a wasteful number, since it uses less digits than its factorization.

44411222211444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26823790 (or 26823785 counting only the distinct ones).

The product of its digits is 65536, while the sum is 36.

It can be divided in two parts, 4441122 and 2211444, that added together give a palindrome (6652566).

The spelling of 44411222211444 in words is "forty-four trillion, four hundred eleven billion, two hundred twenty-two million, two hundred eleven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 111 113 132 148 198 222 226 333 339 396 407 444 452 666 678 814 1017 1221 1243 1332 1356 1628 2034 2442 2486 3663 3729 4068 4181 4884 4972 7326 7458 8362 11187 12543 14652 14916 16724 22374 25086 37629 44748 45991 50172 75258 91982 137973 150516 183964 275946 413919 551892 827838 1655676 26823619 53647238 80470857 107294476 160941714 241412571 295059809 321883428 482825142 590119618 885179427 965650284 992473903 1180239236 1770358854 1984947806 2655538281 2977421709 3031068947 3540717708 3969895612 5311076562 5954843418 6062137894 8932265127 9093206841 10622153124 10917212933 11909686836 12124275788 17864530254 18186413682 21834425866 27279620523 32751638799 33341758417 35729060508 36372827364 43668851732 54559241046 65503277598 66683516834 98254916397 100025275251 109118482092 112149551039 131006555196 133367033668 196509832794 200050550502 224299102078 300075825753 336448653117 393019665588 400101101004 448598204156 600151651506 672897306234 1009345959351 1200303303012 1233645061429 1345794612468 2018691918702 2467290122858 3700935184287 4037383837404 4934580245716 7401870368574 11102805552861 14803740737148 22205611105722 44411222211444