Search a number
-
+
23442298304100 = 2235213193159172969
BaseRepresentation
bin1010101010010000101011…
…10111001111011001100100
310002000001200002000122010020
411111020111313033121210
511033034311331212400
6121505124305155140
74636436001566604
oct525102567173144
9102001602018106
1023442298304100
117518906287025
12276733632bab0
1310107a3704780
145b0882c30c04
152a9bc46442a0
hex155215dcf664

23442298304100 has 576 divisors, whose sum is σ = 80714167296000. Its totient is φ = 5200663449600.

The previous prime is 23442298304071. The next prime is 23442298304101. The reversal of 23442298304100 is 140389224432.

It is not an unprimeable number, because it can be changed into a prime (23442298304101) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 135442416 + ... + 135615384.

Almost surely, 223442298304100 is an apocalyptic number.

23442298304100 is a gapful number since it is divisible by the number (20) 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 23442298304100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40357083648000).

23442298304100 is an abundant number, since it is smaller than the sum of its proper divisors (57271868991900).

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

23442298304100 is a wasteful number, since it uses less digits than its factorization.

23442298304100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173108 (or 173101 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 23442298304100 in words is "twenty-three trillion, four hundred forty-two billion, two hundred ninety-eight million, three hundred four thousand, one hundred".