Search a number
-
+
114044107044 = 22373239115931
BaseRepresentation
bin110101000110110001…
…1101111100100100100
3101220100221002220022110
41222031203233210210
53332030242411134
6124220253001020
711145055626000
oct1521543574444
9356327086273
10114044107044
1144402a1a63a
121a129183170
13a9a62c265a
14573c339700
152e771817e9
hex1a8d8ef924

114044107044 has 96 divisors (see below), whose sum is σ = 311625216000. Its totient is φ = 32447415840.

The previous prime is 114044107033. The next prime is 114044107063. The reversal of 114044107044 is 440701440411.

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 31 ways as a sum of consecutive naturals, for example, 925759 + ... + 1041689.

It is an arithmetic number, because the mean of its divisors is an integer number (3246096000).

Almost surely, 2114044107044 is an apocalyptic number.

114044107044 is a gapful number since it is divisible by the number (14) 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 114044107044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155812608000).

114044107044 is an abundant number, since it is smaller than the sum of its proper divisors (197581108956).

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

114044107044 is a wasteful number, since it uses less digits than its factorization.

114044107044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116198 (or 116182 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

Adding to 114044107044 its reverse (440701440411), we get a palindrome (554745547455).

The spelling of 114044107044 in words is "one hundred fourteen billion, forty-four million, one hundred seven thousand, forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 239 294 343 478 588 686 717 956 1029 1372 1434 1673 2058 2868 3346 4116 5019 6692 10038 11711 20076 23422 35133 46844 70266 81977 115931 140532 163954 231862 245931 327908 347793 463724 491862 695586 811517 983724 1391172 1623034 2434551 3246068 4869102 5680619 9738204 11361238 17041857 22722476 27707509 34083714 39764333 55415018 68167428 79528666 83122527 110830036 119292999 159057332 166245054 193952563 238585998 332490108 387905126 477171996 581857689 775810252 1163715378 1357667941 2327430756 2715335882 4073003823 5430671764 8146007646 9503675587 16292015292 19007351174 28511026761 38014702348 57022053522 114044107044