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13411414523120 = 2455323391352317
BaseRepresentation
bin1100001100101001011010…
…0110010011110011110000
31202111010012112111202022212
43003022112212103303300
53224213034104214440
644305041353351252
72552641232345435
oct303122646236360
952433175452285
1013411414523120
114300826955279
12160727b708528
137638ca078c43
1434518a15db8c
15183cdd201465
hexc3296993cf0

13411414523120 has 80 divisors (see below), whose sum is σ = 31783475861280. Its totient is φ = 5261093440512.

The previous prime is 13411414523057. The next prime is 13411414523161. The reversal of 13411414523120 is 2132541411431.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 9241202 + ... + 10593518.

It is an arithmetic number, because the mean of its divisors is an integer number (397293448266).

Almost surely, 213411414523120 is an apocalyptic number.

13411414523120 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 13411414523120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15891737930640).

13411414523120 is an abundant number, since it is smaller than the sum of its proper divisors (18372061338160).

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

13411414523120 is a wasteful number, since it uses less digits than its factorization.

13411414523120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354722 (or 1354716 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

Adding to 13411414523120 its reverse (2132541411431), we get a palindrome (15543955934551).

The spelling of 13411414523120 in words is "thirteen trillion, four hundred eleven billion, four hundred fourteen million, five hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 2120 2339 4240 4678 9356 11695 18712 23390 37424 46780 93560 123967 187120 247934 495868 619835 991736 1239670 1352317 1983472 2479340 2704634 4958680 5409268 6761585 9917360 10818536 13523170 21637072 27046340 54092680 71672801 108185360 143345602 286691204 358364005 573382408 716728010 1146764816 1433456020 2866912040 3163069463 5733824080 6326138926 12652277852 15815347315 25304555704 31630694630 50609111408 63261389260 126522778520 167642681539 253045557040 335285363078 670570726156 838213407695 1341141452312 1676426815390 2682282904624 3352853630780 6705707261560 13411414523120