Search a number
-
+
23241140310312 = 233435865957269
BaseRepresentation
bin1010100100011001111111…
…11010011001000100101000
310001021211110000202202210000
411102030333322121010220
511021240323404412222
6121232455451223000
74616055060056451
oct522147772310450
9101254400682700
1023241140310312
11745056a89aa71
122734356a47a60
13cc782650ab92
145a4c3d036128
152a484e6d09ac
hex15233fe99128

23241140310312 has 40 divisors (see below), whose sum is σ = 65096712445050. Its totient is φ = 7747046769888.

The previous prime is 23241140310301. The next prime is 23241140310317. The reversal of 23241140310312 is 21301304114232.

23241140310312 is a `hidden beast` number, since 2 + 3 + 24 + 1 + 14 + 0 + 310 + 312 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20239147454436 + 3001992855876 = 4498794^2 + 1732626^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (23241140310317) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 17932977987 + ... + 17932979282.

Almost surely, 223241140310312 is an apocalyptic number.

It is an amenable number.

23241140310312 is an abundant number, since it is smaller than the sum of its proper divisors (41855572134738).

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

23241140310312 is a wasteful number, since it uses less digits than its factorization.

23241140310312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35865957287 (or 35865957274 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 23241140310312 its reverse (21301304114232), we get a palindrome (44542444424544).

The spelling of 23241140310312 in words is "twenty-three trillion, two hundred forty-one billion, one hundred forty million, three hundred ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 35865957269 71731914538 107597871807 143463829076 215195743614 286927658152 322793615421 430391487228 645587230842 860782974456 968380846263 1291174461684 1936761692526 2582348923368 2905142538789 3873523385052 5810285077578 7747046770104 11620570155156 23241140310312