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40387781824992 = 253472833831253
BaseRepresentation
bin10010010111011100000110…
…11000111001000111100000
312022000000220221211210010000
421023232003120321013200
520243203134121344432
6221521520230340000
711335630612135200
oct1113560330710740
9168000827753100
1040387781824992
11119613a8a29778
12464350a4ba600
13196c7227c2444
149d8ac9aaa400
154a08a3b4a57c
hex24bb836391e0

40387781824992 has 360 divisors, whose sum is σ = 139836648570696. Its totient is φ = 11400334751232.

The previous prime is 40387781824981. The next prime is 40387781824993. The reversal of 40387781824992 is 29942818778304.

40387781824992 is a `hidden beast` number, since 4 + 0 + 387 + 7 + 81 + 82 + 4 + 9 + 92 = 666.

It is a super-2 number, since 2×403877818249922 (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 40387781824992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40387781824993) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8626038 + ... + 12457290.

Almost surely, 240387781824992 is an apocalyptic number.

40387781824992 is a gapful number since it is divisible by the number (42) 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 40387781824992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69918324285348).

40387781824992 is an abundant number, since it is smaller than the sum of its proper divisors (99448866745704).

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

40387781824992 is a wasteful number, since it uses less digits than its factorization.

40387781824992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3831372 (or 3831348 counting only the distinct ones).

The product of its (nonzero) digits is 390168576, while the sum is 72.

The spelling of 40387781824992 in words is "forty trillion, three hundred eighty-seven billion, seven hundred eighty-one million, eight hundred twenty-four thousand, nine hundred ninety-two".