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44224144142244 = 223112277977112543
BaseRepresentation
bin10100000111000101111000…
…11001101110111110100100
312210120210020122100220102120
422003202330121232332210
521244032021400022434
6234020142533105540
712213042342606123
oct1203427431567644
9183523218326376
1044224144142244
11131003994a1300
124b62b284882b0
131b8a41b809261
14acc662337aba
1551a588b11349
hex2838bc66efa4

44224144142244 has 144 divisors (see below), whose sum is σ = 113950351624704. Its totient is φ = 13339090068480.

The previous prime is 44224144142231. The next prime is 44224144142317.

44224144142244 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×442241441422442 (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 44224144142196 and 44224144142205.

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, 392897037 + ... + 393009579.

Almost surely, 244224144142244 is an apocalyptic number.

44224144142244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44224144142244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56975175812352).

44224144142244 is an abundant number, since it is smaller than the sum of its proper divisors (69726207482460).

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

44224144142244 is a wasteful number, since it uses less digits than its factorization.

44224144142244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113826 (or 113813 counting only the distinct ones).

The product of its digits is 1048576, while the sum is 42.

It can be divided in two parts, 4422414 and 4142244, that added together give a palindrome (8564658).

The spelling of 44224144142244 in words is "forty-four trillion, two hundred twenty-four billion, one hundred forty-four million, one hundred forty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 277 363 484 554 726 831 977 1108 1452 1662 1954 2931 3047 3324 3908 5862 6094 9141 10747 11724 12188 18282 21494 32241 33517 36564 42988 64482 67034 100551 112543 118217 128964 134068 201102 225086 236434 270629 337629 354651 402204 450172 472868 541258 675258 709302 811887 1082516 1237973 1350516 1418604 1623774 2475946 2976919 3247548 3713919 4951892 5953838 7427838 8930757 11907676 13617703 14855676 17861514 27235406 31174411 32746109 35723028 40853109 54470812 62348822 65492218 81706218 93523233 98238327 109954511 124697644 130984436 163412436 187046466 196476654 219909022 329863533 342918521 374092932 392953308 439818044 659727066 685837042 1028755563 1209499621 1319454132 1371674084 2057511126 2418999242 3628498863 3772103731 4115022252 4837998484 7256997726 7544207462 11316311193 13304495831 14513995452 15088414924 22632622386 26608991662 30457399547 39913487493 45265244772 53217983324 60914799094 79826974986 91372198641 121829598188 159653949972 182744397282 335031395017 365488794564 670062790034 1005094185051 1340125580068 2010188370102 3685345345187 4020376740204 7370690690374 11056036035561 14741381380748 22112072071122 44224144142244