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23432420000 = 255411432477
BaseRepresentation
bin10101110100101011…
…100101101010100000
32020111001020021022102
4111310223211222200
5340442144420000
614433102025532
71456451166203
oct256453455240
966431207272
1023432420000
119a34a98a70
12465b5782a8
1322958420a2
1411c40d193a
159222793d5
hex574ae5aa0

23432420000 has 240 divisors, whose sum is σ = 64376417952. Its totient is φ = 8319360000.

The previous prime is 23432419993. The next prime is 23432420003. The reversal of 23432420000 is 2423432.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (23432420003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9458762 + ... + 9461238.

Almost surely, 223432420000 is an apocalyptic number.

23432420000 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 23432420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32188208976).

23432420000 is an abundant number, since it is smaller than the sum of its proper divisors (40943997952).

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

23432420000 is a wasteful number, since it uses less digits than its factorization.

23432420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2561 (or 2538 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 23432420000 its reverse (2423432), we get a palindrome (23434843432).

The spelling of 23432420000 in words is "twenty-three billion, four hundred thirty-two million, four hundred twenty thousand".