Search a number
-
+
23041134424140 = 2235722743321289
BaseRepresentation
bin1010011110100101011101…
…01000011111000001001100
310000120201012021102000222020
411033102232220133001030
511010001220403033030
6121000541231050140
74565444535065550
oct517225650370114
9100521167360866
1023041134424140
117383765779468
122701639370950
13cb1a00c0a781
145992a8261860
1529e545997510
hex14f4aea1f04c

23041134424140 has 288 divisors, whose sum is σ = 74285450749440. Its totient is φ = 5227176665088.

The previous prime is 23041134424117. The next prime is 23041134424151. The reversal of 23041134424140 is 4142443114032.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17875200616 + ... + 17875201904.

It is an arithmetic number, because the mean of its divisors is an integer number (257935592880).

Almost surely, 223041134424140 is an apocalyptic number.

23041134424140 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 23041134424140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37142725374720).

23041134424140 is an abundant number, since it is smaller than the sum of its proper divisors (51244316325300).

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

23041134424140 is a wasteful number, since it uses less digits than its factorization.

23041134424140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2401 (or 1966 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 23041134424140 its reverse (4142443114032), we get a palindrome (27183577538172).

The spelling of 23041134424140 in words is "twenty-three trillion, forty-one billion, one hundred thirty-four million, four hundred twenty-four thousand, one hundred forty".