Search a number
-
+
11342004420432 = 2437279397153757
BaseRepresentation
bin1010010100001100010000…
…1001001111111101010000
31111011021200210022100110210
42211003010021033331100
52441311411112423212
640042240033124120
72250301304612100
oct245030411177520
944137623270423
1011342004420432
11368313189aa64
1213321a63b9640
136437146695ba
142b2d55171200
1514a0717d753c
hexa50c424ff50

11342004420432 has 240 divisors, whose sum is σ = 34602487560960. Its totient is φ = 3191472700416.

The previous prime is 11342004420377. The next prime is 11342004420433. The reversal of 11342004420432 is 23402440024311.

It is a self number, because there is not a number n which added to its sum of digits gives 11342004420432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11342004420433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73688898 + ... + 73842654.

It is an arithmetic number, because the mean of its divisors is an integer number (144177031504).

Almost surely, 211342004420432 is an apocalyptic number.

11342004420432 is a gapful number since it is divisible by the number (12) 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 11342004420432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17301243780480).

11342004420432 is an abundant number, since it is smaller than the sum of its proper divisors (23260483140528).

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

11342004420432 is a wasteful number, since it uses less digits than its factorization.

11342004420432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154258 (or 154245 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 11342004420432 its reverse (23402440024311), we get a palindrome (34744444444743).

The spelling of 11342004420432 in words is "eleven trillion, three hundred forty-two billion, four million, four hundred twenty thousand, four hundred thirty-two".