Search a number
-
+
134123003144 = 231343241124447
BaseRepresentation
bin111110011101001011…
…0101001110100001000
3110211012021002111122222
41330322112221310020
54144140442100034
6141340521233212
712455456500454
oct1747226516410
9424167074588
10134123003144
1151976a36449
1221bb1632808
13c856132070
1466c4cbb664
15374ecd412e
hex1f3a5a9d08

134123003144 has 64 divisors (see below), whose sum is σ = 278275683840. Its totient is φ = 60211952640.

The previous prime is 134123003143. The next prime is 134123003171. The reversal of 134123003144 is 441300321431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (134123003143) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1015529 + ... + 1139975.

It is an arithmetic number, because the mean of its divisors is an integer number (4348057560).

Almost surely, 2134123003144 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 134123003144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139137841920).

134123003144 is an abundant number, since it is smaller than the sum of its proper divisors (144152680696).

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

134123003144 is a wasteful number, since it uses less digits than its factorization.

134123003144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124750 (or 124746 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 134123003144 its reverse (441300321431), we get a palindrome (575423324575).

The spelling of 134123003144 in words is "one hundred thirty-four billion, one hundred twenty-three million, three thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 26 43 52 86 104 172 241 344 482 559 964 1118 1928 2236 3133 4472 6266 10363 12532 20726 25064 41452 82904 124447 134719 248894 269438 497788 538876 995576 1077752 1617811 3235622 5351221 6471244 10702442 12942488 21404884 29991727 42809768 59983454 69565873 119966908 139131746 239933816 278263492 389892451 556526984 779784902 1289644261 1559569804 2579288522 3119139608 5158577044 10317154088 16765375393 33530750786 67061501572 134123003144