Search a number
-
+
23243055034232 = 23112311483722843
BaseRepresentation
bin1010100100011101100100…
…00010011110111101111000
310001022000101110122211012202
411102032302002132331320
511021303234042043412
6121233413450325332
74616153400002105
oct522166202367570
9101260343584182
1023243055034232
117451362692430
1227347b0129848
13cc7a700c8507
145a4d81453aac
152a491284b3c2
hex1523b209ef78

23243055034232 has 32 divisors (see below), whose sum is σ = 49609682686080. Its totient is φ = 10105676100960.

The previous prime is 23243055034159. The next prime is 23243055034313.

23243055034232 is nontrivially palindromic in base 10.

23243055034232 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×232430550342323 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5741859398 + ... + 5741863445.

It is an arithmetic number, because the mean of its divisors is an integer number (1550302583940).

Almost surely, 223243055034232 is an apocalyptic number.

23243055034232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23243055034232 is an abundant number, since it is smaller than the sum of its proper divisors (26366627651848).

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

23243055034232 is a wasteful number, since it uses less digits than its factorization.

23243055034232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11483722883 (or 11483722879 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 38.

It can be divided in two parts, 2324305 and 5034232, that added together give a palindrome (7358537).

The spelling of 23243055034232 in words is "twenty-three trillion, two hundred forty-three billion, fifty-five million, thirty-four thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 253 506 1012 2024 11483722843 22967445686 45934891372 91869782744 126320951273 252641902546 264125625389 505283805092 528251250778 1010567610184 1056502501556 2113005003112 2905381879279 5810763758558 11621527517116 23243055034232