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44442288888888 = 23311601507755171
BaseRepresentation
bin10100001101011100001101…
…10101111001110000111000
312211100122022112012020000110
422012232012311321300320
521311120301423421023
6234304301120104320
712234564230425122
oct1206560665716070
9184318275166013
1044442288888888
1113184961519190
124b992687650a0
131ba4b750386b7
14ad9038164212
155210a4ed1a93
hex286b86d79c38

44442288888888 has 128 divisors (see below), whose sum is σ = 121434031031040. Its totient is φ = 13442060160000.

The previous prime is 44442288888887. The next prime is 44442288888941. The reversal of 44442288888888 is 88888888224444.

44442288888888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×444422888888883 (a number of 42 digits) contains 333 as substring.

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 self number, because there is not a number n which added to its sum of digits gives 44442288888888.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44442288888887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 805509543 + ... + 805564713.

It is an arithmetic number, because the mean of its divisors is an integer number (948703367430).

It is a self-describing number.

Almost surely, 244442288888888 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 44442288888888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60717015515520).

44442288888888 is an abundant number, since it is smaller than the sum of its proper divisors (76991742142152).

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

44442288888888 is a wasteful number, since it uses less digits than its factorization.

44442288888888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60869 (or 60865 counting only the distinct ones).

The product of its digits is 17179869184, while the sum is 84.

The spelling of 44442288888888 in words is "forty-four trillion, four hundred forty-two billion, two hundred eighty-eight million, eight hundred eighty-eight thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 601 1202 1803 2404 3606 4808 5077 6611 7212 10154 13222 14424 15231 19833 20308 26444 30462 39666 40616 52888 55171 55847 60924 79332 110342 111694 121848 158664 165513 167541 220684 223388 331026 335082 441368 446776 606881 662052 670164 1213762 1324104 1340328 1820643 2427524 3051277 3641286 4855048 6102554 7282572 9153831 12205108 14565144 18307662 24410216 33157771 33564047 36615324 66315542 67128094 73230648 99473313 100692141 132631084 134256188 198946626 201384282 265262168 268512376 280103167 364735481 397893252 402768564 560206334 729470962 795786504 805537128 840309501 1094206443 1120412668 1458941924 1680619002 2188412886 2240825336 2917883848 3081134837 3361238004 4376825772 6162269674 6722476008 8753651544 9243404511 12324539348 18486809022 24649078696 36973618044 73947236088 168342003367 336684006734 505026010101 673368013468 1010052020202 1346736026936 1851762037037 2020104040404 3703524074074 4040208080808 5555286111111 7407048148148 11110572222222 14814096296296 22221144444444 44442288888888