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1341220330240 = 28571039144071
BaseRepresentation
bin10011100001000110111…
…101100001101100000000
311202012220221200012002221
4103201012331201230000
5133433304401031430
62504051554220424
7165620455463320
oct23410675415400
94665827605087
101341220330240
11477898a0241a
12197b2bb84714
1399626c3b9ab
1448cb5c59280
1524d4cb1157a
hex13846f61b00

1341220330240 has 144 divisors (see below), whose sum is σ = 3675149936640. Its totient is φ = 459401195520.

The previous prime is 1341220330211. The next prime is 1341220330249. The reversal of 1341220330240 is 420330221431.

It is not an unprimeable number, because it can be changed into a prime (1341220330249) 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 15 ways as a sum of consecutive naturals, for example, 9237405 + ... + 9381475.

It is an arithmetic number, because the mean of its divisors is an integer number (25521874560).

Almost surely, 21341220330240 is an apocalyptic number.

1341220330240 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 1341220330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837574968320).

1341220330240 is an abundant number, since it is smaller than the sum of its proper divisors (2333929606400).

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

1341220330240 is a wasteful number, since it uses less digits than its factorization.

1341220330240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145138 (or 145124 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 1341220330240 its reverse (420330221431), we get a palindrome (1761550551671).

The spelling of 1341220330240 in words is "one trillion, three hundred forty-one billion, two hundred twenty million, three hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1039 1120 1280 1792 2078 2240 4156 4480 5195 7273 8312 8960 10390 14546 16624 20780 29092 33248 36365 41560 58184 66496 72730 83120 116368 132992 144071 145460 166240 232736 265984 288142 290920 332480 465472 576284 581840 664960 720355 930944 1008497 1152568 1163680 1329920 1440710 1861888 2016994 2305136 2327360 2881420 4033988 4610272 4654720 5042485 5762840 8067976 9220544 9309440 10084970 11525680 16135952 18441088 20169940 23051360 32271904 36882176 40339880 46102720 64543808 80679760 92205440 129087616 149689769 161359520 184410880 258175232 299379538 322719040 598759076 645438080 748448845 1047828383 1197518152 1290876160 1496897690 2095656766 2395036304 2993795380 4191313532 4790072608 5239141915 5987590760 8382627064 9580145216 10478283830 11975181520 16765254128 19160290432 20956567660 23950363040 33530508256 38320580864 41913135320 47900726080 67061016512 83826270640 95801452160 134122033024 167652541280 191602904320 268244066048 335305082560 670610165120 1341220330240