Search a number
-
+
23034312411000 = 2335311897842803
BaseRepresentation
bin1010011110011000110000…
…00000100100011101111000
310000120001120211120212020220
411033030120000210131320
511004343232434123000
6120553452251420040
74565113506661452
oct517143000443570
9100501524525226
1023034312411000
117380884941a80
122700254754620
13cb11847522c7
14598c1c1d72d2
1529e296ada1a0
hex14f318024778

23034312411000 has 256 divisors, whose sum is σ = 79281337075200. Its totient is φ = 5521332608000.

The previous prime is 23034312410987. The next prime is 23034312411023. The reversal of 23034312411000 is 11421343032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 984402 + ... + 6858401.

It is an arithmetic number, because the mean of its divisors is an integer number (309692722950).

Almost surely, 223034312411000 is an apocalyptic number.

23034312411000 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 23034312411000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39640668537600).

23034312411000 is an abundant number, since it is smaller than the sum of its proper divisors (56247024664200).

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

23034312411000 is a wasteful number, since it uses less digits than its factorization.

23034312411000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7842927 (or 7842913 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 23034312411000 its reverse (11421343032), we get a palindrome (23045733754032).

The spelling of 23034312411000 in words is "twenty-three trillion, thirty-four billion, three hundred twelve million, four hundred eleven thousand".