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13144341243040 = 255731378581257
BaseRepresentation
bin1011111101000110011111…
…0010100110010010100000
31201112120211202000101220221
42333101213302212102200
53210324102324234130
643542232122212424
72524435013050060
oct277214762462240
951476752011827
1013144341243040
114208535a60aa7
121583565354114
13744676a7a177
143362920353a0
1517bdab58787a
hexbf467ca64a0

13144341243040 has 96 divisors (see below), whose sum is σ = 36634551174144. Its totient is φ = 4361256069120.

The previous prime is 13144341243037. The next prime is 13144341243067. The reversal of 13144341243040 is 4034214344131.

13144341243040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13144341242987 and 13144341243005.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189255909 + ... + 189325348.

It is an arithmetic number, because the mean of its divisors is an integer number (381609908064).

Almost surely, 213144341243040 is an apocalyptic number.

13144341243040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13144341243040 is an abundant number, since it is smaller than the sum of its proper divisors (23490209931104).

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

13144341243040 is a wasteful number, since it uses less digits than its factorization.

13144341243040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378581310 (or 378581302 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 13144341243040 its reverse (4034214344131), we get a palindrome (17178555587171).

The spelling of 13144341243040 in words is "thirteen trillion, one hundred forty-four billion, three hundred forty-one million, two hundred forty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 70 80 112 124 140 155 160 217 224 248 280 310 434 496 560 620 868 992 1085 1120 1240 1736 2170 2480 3472 4340 4960 6944 8680 17360 34720 378581257 757162514 1514325028 1892906285 2650068799 3028650056 3785812570 5300137598 6057300112 7571625140 10600275196 11736018967 12114600224 13250343995 15143250280 21200550392 23472037934 26500687990 30286500560 42401100784 46944075868 53001375980 58680094835 60573001120 82152132769 84802201568 93888151736 106002751960 117360189670 164304265538 187776303472 212005503920 234720379340 328608531076 375552606944 410760663845 424011007840 469440758680 657217062152 821521327690 938881517360 1314434124304 1643042655380 1877763034720 2628868248608 3286085310760 6572170621520 13144341243040