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44044044044 = 227112131019901
BaseRepresentation
bin101001000001001110…
…101100011100001100
311012200111122021000112
4221001032230130030
51210200233402134
632122240415152
73116311124450
oct510116543414
9135614567015
1044044044044
1117751795200
1286523174b8
1341cbb55430
1421bb708660
15122ba5c1ce
hexa413ac70c

44044044044 has 144 divisors (see below), whose sum is σ = 105315137088. Its totient is φ = 15681600000.

The previous prime is 44044044007. The next prime is 44044044071.

44044044044 is nontrivially palindromic in base 10.

44044044044 is a modest number, since divided by 44044044 gives 44 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 44044044044.

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, 4443494 + ... + 4453394.

Almost surely, 244044044044 is an apocalyptic number.

44044044044 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 44044044044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52657568544).

44044044044 is an abundant number, since it is smaller than the sum of its proper divisors (61271093044).

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

44044044044 is a wasteful number, since it uses less digits than its factorization.

44044044044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10048 (or 10035 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

It can be divided in two parts, 440440 and 44044, that added together give a palindrome (484484).

The spelling of 44044044044 in words is "forty-four billion, forty-four million, forty-four thousand, forty-four", and thus it is an eban number.

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 101 121 143 154 182 202 242 286 308 364 404 484 572 707 847 1001 1111 1313 1414 1573 1694 2002 2222 2626 2828 3146 3388 4004 4444 5252 6292 7777 9191 9901 11011 12221 14443 15554 18382 19802 22022 24442 28886 31108 36764 39604 44044 48884 57772 69307 85547 101101 108911 128713 138614 158873 171094 202202 217822 257426 277228 317746 342188 404404 435644 514852 635492 762377 900991 1000001 1112111 1198021 1415843 1524754 1801982 2000002 2224222 2396042 2831686 3049508 3603964 4000004 4448444 4792084 5663372 7000007 8386147 9910901 11000011 13000013 14000014 15574273 16772294 19821802 22000022 26000026 28000028 31148546 33544588 39643604 44000044 52000052 62297092 77000077 91000091 109019911 121000121 143000143 154000154 182000182 218039822 242000242 286000286 308000308 364000364 436079644 484000484 572000572 847000847 1001001001 1573001573 1694001694 2002002002 3146003146 3388003388 4004004004 6292006292 11011011011 22022022022 44044044044