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40232404212000 = 25353711133790523
BaseRepresentation
bin10010010010111010101100…
…01010010101100100100000
312021110011212102110020000220
421021131112022111210200
520233131430434241000
6221322302241043040
711321460324205020
oct1111352612254440
9167404772406026
1040232404212000
1111901515359370
124619386926480
13195ab900b0880
149d138a03da80
1549b80cdc41a0
hex249756295920

40232404212000 has 1536 divisors, whose sum is σ = 181748878811136. Its totient is φ = 7508256768000.

The previous prime is 40232404211977. The next prime is 40232404212001. The reversal of 40232404212000 is 21240423204.

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

It is not an unprimeable number, because it can be changed into a prime (40232404212001) 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 255 ways as a sum of consecutive naturals, for example, 444398739 + ... + 444489261.

It is an arithmetic number, because the mean of its divisors is an integer number (118326092976).

Almost surely, 240232404212000 is an apocalyptic number.

40232404212000 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 40232404212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90874439405568).

40232404212000 is an abundant number, since it is smaller than the sum of its proper divisors (141516474599136).

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

40232404212000 is a wasteful number, since it uses less digits than its factorization.

40232404212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90619 (or 90601 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 40232404212000 its reverse (21240423204), we get a palindrome (40253644635204).

It can be divided in two parts, 40232404 and 212000, that added together give a palindrome (40444404).

The spelling of 40232404212000 in words is "forty trillion, two hundred thirty-two billion, four hundred four million, two hundred twelve thousand".