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23403200230432 = 251189101746191
BaseRepresentation
bin1010101001000111110110…
…11011111011010000100000
310001212022202021002200221201
411110203323123323100200
511031414223224333212
6121435140505530544
74633553055466621
oct524437333732040
9101768667080851
1023403200230432
117503272456650
12275b8444a3a54
131009bb2471639
145aca14361a48
152a8b86e19b57
hex1548fb6fb420

23403200230432 has 48 divisors (see below), whose sum is σ = 50264322885504. Its totient is φ = 10637684640000.

The previous prime is 23403200230363. The next prime is 23403200230523.

23403200230432 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 23403200230432.

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, 30990457 + ... + 31736647.

It is an arithmetic number, because the mean of its divisors is an integer number (1047173393448).

Almost surely, 223403200230432 is an apocalyptic number.

23403200230432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23403200230432 is an abundant number, since it is smaller than the sum of its proper divisors (26861122655072).

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

23403200230432 is a wasteful number, since it uses less digits than its factorization.

23403200230432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835313 (or 835305 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

It can be divided in two parts, 23403200 and 230432, that added together give a palindrome (23633632).

The spelling of 23403200230432 in words is "twenty-three trillion, four hundred three billion, two hundred million, two hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 89101 178202 356404 712808 746191 980111 1425616 1492382 1960222 2851232 2984764 3920444 5969528 7840888 8208101 11939056 15681776 16416202 23878112 31363552 32832404 65664808 131329616 262659232 66486364291 132972728582 265945457164 531890914328 731350007201 1063781828656 1462700014402 2127563657312 2925400028804 5850800057608 11701600115216 23403200230432