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40543123410504 = 233411213434719681
BaseRepresentation
bin10010011011111101011100…
…11110000000111001001000
312022112212212222102221210000
421031332232132000321020
520303224304043114004
6222121130451523000
711353100251624101
oct1115765636007110
9168485788387700
1040543123410504
1111a11273232100
124669641bb9460
13198127a8cb690
14a02424a393a8
154a4946656c39
hex24dfae780e48

40543123410504 has 960 divisors, whose sum is σ = 140481600779520. Its totient is φ = 10840764211200.

The previous prime is 40543123410499. The next prime is 40543123410521. The reversal of 40543123410504 is 40501432134504.

40543123410504 is a `hidden beast` number, since 4 + 0 + 543 + 1 + 2 + 3 + 4 + 105 + 0 + 4 = 666.

40543123410504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2060003544 + ... + 2060023224.

It is an arithmetic number, because the mean of its divisors is an integer number (146335000812).

Almost surely, 240543123410504 is an apocalyptic number.

40543123410504 is a gapful number since it is divisible by the number (44) 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 40543123410504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70240800389760).

40543123410504 is an abundant number, since it is smaller than the sum of its proper divisors (99938477369016).

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

40543123410504 is a wasteful number, since it uses less digits than its factorization.

40543123410504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19824 (or 19800 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 40543123410504 in words is "forty trillion, five hundred forty-three billion, one hundred twenty-three million, four hundred ten thousand, five hundred four".