Search a number
-
+
144526523878134 = 232711091037505017
BaseRepresentation
bin100000110111001000110100…
…000111011100101011110110
3200221201121012221111120101200
4200313020310013130223312
5122420410310103100014
61231214322443033330
742304460664311406
oct4067106407345366
9627647187446350
10144526523878134
1142061399a26552
121426226050b846
136284a3c7c3038
14279919a354806
1511a96ee961a09
hex8372341dcaf6

144526523878134 has 48 divisors (see below), whose sum is σ = 320464549959840. Its totient is φ = 47061227525760.

The previous prime is 144526523878103. The next prime is 144526523878141. The reversal of 144526523878134 is 431878325625441.

144526523878134 is a `hidden beast` number, since 1 + 4 + 4 + 5 + 2 + 6 + 523 + 8 + 78 + 1 + 34 = 666.

144526523878134 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1445265238781342 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 518613207 + ... + 518891810.

It is an arithmetic number, because the mean of its divisors is an integer number (6676344790830).

Almost surely, 2144526523878134 is an apocalyptic number.

144526523878134 is an abundant number, since it is smaller than the sum of its proper divisors (175938026081706).

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

144526523878134 is a wasteful number, since it uses less digits than its factorization.

144526523878134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037505205 (or 1037505202 counting only the distinct ones).

The product of its digits is 154828800, while the sum is 63.

The spelling of 144526523878134 in words is "one hundred forty-four trillion, five hundred twenty-six billion, five hundred twenty-three million, eight hundred seventy-eight thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 71 109 142 213 218 327 426 639 654 981 1278 1962 7739 15478 23217 46434 69651 139302 1037505017 2075010034 3112515051 6225030102 9337545153 18675090306 73662856207 113088046853 147325712414 220988568621 226176093706 339264140559 441977137242 662965705863 678528281118 1017792421677 1325931411726 2035584843354 8029251326563 16058502653126 24087753979689 48175507959378 72263261939067 144526523878134