Search a number
-
+
23351002400000 = 28551115117573
BaseRepresentation
bin1010100111100110101000…
…01101000000010100000000
310001200100000111200011202202
411103303110031000110000
511030040323103300000
6121355145153132332
74630024415322152
oct523632415002400
9101610014604682
1023351002400000
117493117106010
1227516b755a0a8
131004cb427c942
145aa2a1b9aad2
152a762e635dd5
hex153cd4340500

23351002400000 has 432 divisors, whose sum is σ = 63980642226816. Its totient is φ = 8434560000000.

The previous prime is 23351002399969. The next prime is 23351002400021. The reversal of 23351002400000 is 420015332.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1328791214 + ... + 1328808786.

It is an arithmetic number, because the mean of its divisors is an integer number (148103338488).

Almost surely, 223351002400000 is an apocalyptic number.

23351002400000 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 23351002400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31990321113408).

23351002400000 is an abundant number, since it is smaller than the sum of its proper divisors (40629639826816).

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

23351002400000 is an equidigital number, since it uses as much as digits as its factorization.

23351002400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17776 (or 17742 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 23351002400000 its reverse (420015332), we get a palindrome (23351422415332).

The spelling of 23351002400000 in words is "twenty-three trillion, three hundred fifty-one billion, two million, four hundred thousand".