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201124424440 = 23540231124981
BaseRepresentation
bin1011101101001111110…
…0110010101011111000
3201020010201002100212001
42323103330302223320
511243400323040230
6232221214230344
720350023254242
oct2732374625370
9636121070761
10201124424440
11783295489a5
1232b901b53b4
1315c73272094
149a3d57b092
1553720320ca
hex2ed3f32af8

201124424440 has 32 divisors (see below), whose sum is σ = 452544824160. Its totient is φ = 80447126400.

The previous prime is 201124424387. The next prime is 201124424441. The reversal of 201124424440 is 44424421102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 201124424399 and 201124424408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201124424441) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1546750 + ... + 1671730.

It is an arithmetic number, because the mean of its divisors is an integer number (14142025755).

Almost surely, 2201124424440 is an apocalyptic number.

201124424440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201124424440 is an abundant number, since it is smaller than the sum of its proper divisors (251420399720).

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

201124424440 is a wasteful number, since it uses less digits than its factorization.

201124424440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165223 (or 165219 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 201124424440 its reverse (44424421102), we get a palindrome (245548845542).

The spelling of 201124424440 in words is "two hundred one billion, one hundred twenty-four million, four hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 40231 80462 124981 160924 201155 249962 321848 402310 499924 624905 804620 999848 1249810 1609240 2499620 4999240 5028110611 10056221222 20112442444 25140553055 40224884888 50281106110 100562212220 201124424440