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44224444042002 = 2347284336073803
BaseRepresentation
bin10100000111000110011100…
…10001110000101100010010
312210120211000112200101120000
422003203032101300230102
521244033130133321002
6234020232405030430
712213052643660340
oct1203431621605422
9183524015611500
1044224444042002
1113100532807444
124b62bb09b5416
131b8a4689a0533
14acc6900c2990
1551a5a510061c
hex2838ce470b12

44224444042002 has 160 divisors (see below), whose sum is σ = 113353058092032. Its totient is φ = 12624288729696.

The previous prime is 44224444041989. The next prime is 44224444042027. The reversal of 44224444042002 is 20024044442244.

44224444042002 is a `hidden beast` number, since 4 + 4 + 2 + 2 + 4 + 4 + 440 + 4 + 200 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11628829033 + ... + 11628832835.

Almost surely, 244224444042002 is an apocalyptic number.

44224444042002 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 44224444042002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56676529046016).

44224444042002 is an abundant number, since it is smaller than the sum of its proper divisors (69128614050030).

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

44224444042002 is a wasteful number, since it uses less digits than its factorization.

44224444042002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10274 (or 10265 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

Adding to 44224444042002 its reverse (20024044442244), we get a palindrome (64248488484246).

The spelling of 44224444042002 in words is "forty-four trillion, two hundred twenty-four billion, four hundred forty-four million, forty-two thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 567 1134 2843 3607 3803 5686 7214 7606 8529 10821 11409 17058 19901 21642 22818 25249 25587 26621 32463 34227 39802 50498 51174 53242 59703 64926 68454 75747 76761 79863 97389 102681 119406 151494 153522 159726 179109 194778 205362 227241 230283 239589 292167 308043 358218 454482 460566 479178 537327 584334 616086 681723 718767 1074654 1363446 1437534 1611981 2045169 2156301 3223962 4090338 4312602 10254701 10811929 13717421 20509402 21623858 27434842 30764103 32435787 41152263 61528206 64871574 71782907 75683503 82304526 92292309 96021947 97307361 123456789 143565814 151367006 184584618 192043894 194614722 215348721 227050509 246913578 276876927 288065841 291922083 370370367 430697442 454101018 553753854 576131682 583844166 646046163 681151527 740740734 830630781 864197523 875766249 1111111101 1292092326 1362303054 1661261562 1728395046 1751532498 1938138489 2043454581 2222222202 2592592569 3876276978 4086909162 5185185138 5814415467 6130363743 7777777707 11628830934 12260727486 15555555414 38998627903 77997255806 116995883709 233991767418 272990395321 350987651127 545980790642 701975302254 818971185963 1052962953381 1637942371926 2105925906762 2456913557889 3158888860143 4913827115778 6317777720286 7370740673667 14741481347334 22112222021001 44224444042002