Search a number
-
+
110090499005344 = 25111349434867133
BaseRepresentation
bin11001000010000001110001…
…000101100001101110100000
3112102210112211011101120212211
4121002001301011201232200
5103412210320221132334
61030050513235331504
732121530123415304
oct3102016105415640
9472715734346784
10110090499005344
11320951336a93a0
1210420339450b94
1349576495bab70
141d285a1215d04
15cada8e7aca64
hex642071161ba0

110090499005344 has 96 divisors (see below), whose sum is σ = 254683961489664. Its totient is φ = 46182463380480.

The previous prime is 110090499005341. The next prime is 110090499005353. The reversal of 110090499005344 is 443500994090011.

It is not an unprimeable number, because it can be changed into a prime (110090499005341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20185602 + ... + 25052734.

It is an arithmetic number, because the mean of its divisors is an integer number (2652957932184).

Almost surely, 2110090499005344 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 110090499005344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127341980744832).

110090499005344 is an abundant number, since it is smaller than the sum of its proper divisors (144593462484320).

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

110090499005344 is a wasteful number, since it uses less digits than its factorization.

110090499005344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4872110 (or 4872102 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 49.

The spelling of 110090499005344 in words is "one hundred ten trillion, ninety billion, four hundred ninety-nine million, five thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 208 286 352 416 572 1144 2288 4576 4943 9886 19772 39544 54373 64259 79088 108746 128518 158176 217492 257036 434984 514072 706849 869968 1028144 1413698 1739936 2056288 2827396 4867133 5654792 9734266 11309584 19468532 22619168 38937064 53538463 63272729 77874128 107076926 126545458 155748256 214153852 253090916 428307704 506181832 696000019 856615408 1012363664 1392000038 1713230816 2024727328 2784000076 5568000152 11136000304 22272000608 24058238419 48116476838 96232953676 192465907352 264640622609 312757099447 384931814704 529281245218 625514198894 769863629408 1058562490436 1251028397788 2117124980872 2502056795576 3440328093917 4234249961744 5004113591152 6880656187834 8468499923488 10008227182304 13761312375668 27522624751336 55045249502672 110090499005344