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44121613116 = 223721933711719
BaseRepresentation
bin101001000101110110…
…100110001100111100
311012212220121011210010
4221011312212030330
51210330113104431
632134051143220
73121242344400
oct510566461474
9135786534703
1044121613116
1117791555a79
1286742a4b10
134211c441a9
1421c7b3b100
151233780846
hexa45da633c

44121613116 has 144 divisors (see below), whose sum is σ = 126446611200. Its totient is φ = 11906237952.

The previous prime is 44121613091. The next prime is 44121613139. The reversal of 44121613116 is 61131612144.

44121613116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 3759105 + ... + 3770823.

Almost surely, 244121613116 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 44121613116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63223305600).

44121613116 is an abundant number, since it is smaller than the sum of its proper divisors (82324998084).

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

44121613116 is a wasteful number, since it uses less digits than its factorization.

44121613116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12096 (or 12087 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The spelling of 44121613116 in words is "forty-four billion, one hundred twenty-one million, six hundred thirteen thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 49 57 76 84 98 114 133 147 196 228 266 294 337 399 532 588 674 798 931 1011 1348 1596 1862 2022 2359 2793 3724 4044 4718 5586 6403 7077 9436 11172 11719 12806 14154 16513 19209 23438 25612 28308 33026 35157 38418 44821 46876 49539 66052 70314 76836 82033 89642 99078 134463 140628 164066 179284 198156 222661 246099 268926 313747 328132 445322 492198 537852 574231 627494 667983 890644 941241 984396 1148462 1254988 1335966 1558627 1722693 1882482 2296924 2671932 3117254 3445386 3764964 3949303 4675881 6234508 6890772 7898606 9351762 10910389 11847909 15797212 18703524 21820778 23695818 27645121 32731167 43641556 47391636 55290242 65462334 75036757 82935363 110580484 130924668 150073514 165870726 193515847 225110271 300147028 331741452 387031694 450220542 525257299 580547541 774063388 900441084 1050514598 1161095082 1575771897 2101029196 2322190164 3151543794 3676801093 6303087588 7353602186 11030403279 14707204372 22060806558 44121613116