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4023300211040 = 2551141233271883
BaseRepresentation
bin111010100010111111011…
…000010100000101100000
3112020121211201011001122102
4322202333120110011200
51011404204323223130
612320140102225532
7563450062351415
oct72427730240540
915217751131572
104023300211040
1113112aa09a030
1254b8ab1252a8
1323251b12a766
14dca2ba5810c
156e9c681b645
hex3a8bf614160

4023300211040 has 384 divisors, whose sum is σ = 10719125673984. Its totient is φ = 1414361088000.

The previous prime is 4023300211039. The next prime is 4023300211043. The reversal of 4023300211040 is 401120033204.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4023300211043) by changing a digit.

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, 4556398439 + ... + 4556399321.

It is an arithmetic number, because the mean of its divisors is an integer number (27914389776).

Almost surely, 24023300211040 is an apocalyptic number.

4023300211040 is a gapful number since it is divisible by the number (40) 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 4023300211040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5359562836992).

4023300211040 is an abundant number, since it is smaller than the sum of its proper divisors (6695825462944).

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

4023300211040 is a wasteful number, since it uses less digits than its factorization.

4023300211040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 4023300211040 its reverse (401120033204), we get a palindrome (4424420244244).

The spelling of 4023300211040 in words is "four trillion, twenty-three billion, three hundred million, two hundred eleven thousand, forty".