Search a number
-
+
23432344323432 = 2331117371272394649
BaseRepresentation
bin1010101001111110001001…
…00011110100010101101000
310001222002222100212000122120
411110333010203310111220
511032403420121322212
6121500400444551240
74635634223263032
oct524770443642550
9101862870760576
1023432344323432
117514668544020
122765418852520
13100c87840a895
145b01bac4ac52
152a97e082688c
hex154fc48f4568

23432344323432 has 512 divisors, whose sum is σ = 70349783040000. Its totient is φ = 6422825041920.

The previous prime is 23432344323403. The next prime is 23432344323433.

23432344323432 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (23432344323433) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5040295444 + ... + 5040300092.

It is an arithmetic number, because the mean of its divisors is an integer number (137401920000).

Almost surely, 223432344323432 is an apocalyptic number.

23432344323432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23432344323432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35174891520000).

23432344323432 is an abundant number, since it is smaller than the sum of its proper divisors (46917438716568).

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

23432344323432 is a wasteful number, since it uses less digits than its factorization.

23432344323432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5089 (or 5085 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 42.

It can be divided in two parts, 2343234 and 4323432, that added together give a palindrome (6666666).

The spelling of 23432344323432 in words is "twenty-three trillion, four hundred thirty-two billion, three hundred forty-four million, three hundred twenty-three thousand, four hundred thirty-two".