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40811102208 = 21934312
BaseRepresentation
bin100110000000100010…
…000000000000000000
310220100012021210120000
4212000202000000000
51132040120232313
630425351320000
72643223434162
oct460042000000
9126305253500
1040811102208
1116342892148
127aab680000
133b051218b6
141d921c6932
1510dcd03673
hex980880000

40811102208 has 300 divisors, whose sum is σ = 125989431975. Its totient is φ = 13164871680.

The previous prime is 40811102203. The next prime is 40811102251. The reversal of 40811102208 is 80220111804.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 20405551104 + 20405551104 = 142848^2 + 142848^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=142848.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (40811102203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1316487153 + ... + 1316487183.

Almost surely, 240811102208 is an apocalyptic number.

40811102208 is a gapful number since it is divisible by the number (48) 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 40811102208

40811102208 is an abundant number, since it is smaller than the sum of its proper divisors (85178329767).

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

40811102208 is an frugal number, since it uses more digits than its factorization.

40811102208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The spelling of 40811102208 in words is "forty billion, eight hundred eleven million, one hundred two thousand, two hundred eight".