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13441100320 = 2551710746183
BaseRepresentation
bin11001000010010011…
…01110101000100000
31021200201210122100101
430201021232220200
5210011410202240
610101425232144
7654040316254
oct144111565040
937621718311
1013441100320
11577817267a
122731492654
1313628a38cb
1491718c264
1553a03339a
hex32126ea20

13441100320 has 96 divisors (see below), whose sum is σ = 33937481088. Its totient is φ = 5012779008.

The previous prime is 13441100243. The next prime is 13441100329. The reversal of 13441100320 is 2300114431.

It is not an unprimeable number, because it can be changed into a prime (13441100329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267949 + ... + 314131.

It is an arithmetic number, because the mean of its divisors is an integer number (353515428).

Almost surely, 213441100320 is an apocalyptic number.

13441100320 is a gapful number since it is divisible by the number (10) 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 13441100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16968740544).

13441100320 is an abundant number, since it is smaller than the sum of its proper divisors (20496380768).

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

13441100320 is a wasteful number, since it uses less digits than its factorization.

13441100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46322 (or 46314 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 13441100320 its reverse (2300114431), we get a palindrome (15741214751).

The spelling of 13441100320 in words is "thirteen billion, four hundred forty-one million, one hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 107 136 160 170 214 272 340 428 535 544 680 856 1070 1360 1712 1819 2140 2720 3424 3638 4280 7276 8560 9095 14552 17120 18190 29104 36380 46183 58208 72760 92366 145520 184732 230915 291040 369464 461830 738928 785111 923660 1477856 1570222 1847320 3140444 3694640 3925555 4941581 6280888 7389280 7851110 9883162 12561776 15702220 19766324 24707905 25123552 31404440 39532648 49415810 62808880 79065296 84006877 98831620 125617760 158130592 168013754 197663240 336027508 395326480 420034385 672055016 790652960 840068770 1344110032 1680137540 2688220064 3360275080 6720550160 13441100320