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13440039150 = 2352314367217
BaseRepresentation
bin11001000010001011…
…01011100011101110
31021200122210201200210
430201011223203232
5210011122223100
610101350403250
7654025306416
oct144105534356
937618721623
1013440039150
11577760837a
122731060526
1313625c18b5
14916d93646
15539dc3c50
hex32116b8ee

13440039150 has 96 divisors (see below), whose sum is σ = 35207175168. Its totient is φ = 3387686400.

The previous prime is 13440039149. The next prime is 13440039157. The reversal of 13440039150 is 5193004431.

13440039150 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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13440039157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 166342 + ... + 233558.

It is an arithmetic number, because the mean of its divisors is an integer number (366741408).

Almost surely, 213440039150 is an apocalyptic number.

13440039150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13440039150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17603587584).

13440039150 is an abundant number, since it is smaller than the sum of its proper divisors (21767136018).

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

13440039150 is a wasteful number, since it uses less digits than its factorization.

13440039150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67306 (or 67301 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 13440039150 in words is "thirteen billion, four hundred forty million, thirty-nine thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 31 43 50 62 75 86 93 129 150 155 186 215 258 310 430 465 645 775 930 1075 1290 1333 1550 2150 2325 2666 3225 3999 4650 6450 6665 7998 13330 19995 33325 39990 66650 67217 99975 134434 199950 201651 336085 403302 672170 1008255 1680425 2016510 2083727 2890331 3360850 4167454 5041275 5780662 6251181 8670993 10082550 10418635 12502362 14451655 17341986 20837270 28903310 31255905 43354965 52093175 62511810 72258275 86709930 89600261 104186350 144516550 156279525 179200522 216774825 268800783 312559050 433549650 448001305 537601566 896002610 1344003915 2240006525 2688007830 4480013050 6720019575 13440039150