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40488812000 = 2553713412713
BaseRepresentation
bin100101101101010100…
…100011110111100000
310212111201211202111122
4211231110203313200
51130410113441000
630333355431412
72632231136450
oct455524436740
9125451752448
1040488812000
11161979737aa
127a1b755568
133a8341b130
141d6148dd60
1510be890085
hex96d523de0

40488812000 has 384 divisors, whose sum is σ = 125470695168. Its totient is φ = 12496896000.

The previous prime is 40488811969. The next prime is 40488812011. The reversal of 40488812000 is 21888404.

40488812000 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 (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14922644 + ... + 14925356.

It is an arithmetic number, because the mean of its divisors is an integer number (326746602).

Almost surely, 240488812000 is an apocalyptic number.

40488812000 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 40488812000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62735347584).

40488812000 is an abundant number, since it is smaller than the sum of its proper divisors (84981883168).

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

40488812000 is a wasteful number, since it uses less digits than its factorization.

40488812000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2799 (or 2781 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 35.

The spelling of 40488812000 in words is "forty billion, four hundred eighty-eight million, eight hundred twelve thousand".