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13442520303104 = 29241488922283
BaseRepresentation
bin1100001110011101010010…
…1001011100011000000000
31202121002111100112002200012
43003213110221130120000
53230220240144144404
644331224130244052
72555122120202564
oct303472451343000
952532440462605
1013442520303104
114312a392a1162
121611300a26628
13766816566809
1434689b3ad6a4
15184a0de53a6e
hexc39d4a5c600

13442520303104 has 80 divisors (see below), whose sum is σ = 26976960038160. Its totient is φ = 6691701719040.

The previous prime is 13442520303073. The next prime is 13442520303161. The reversal of 13442520303104 is 40130302524431.

It is a super-3 number, since 3×134425203031043 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 603252347 + ... + 603274629.

It is an arithmetic number, because the mean of its divisors is an integer number (337212000477).

Almost surely, 213442520303104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13442520303104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13488480019080).

13442520303104 is an abundant number, since it is smaller than the sum of its proper divisors (13534439735056).

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

13442520303104 is an equidigital number, since it uses as much as digits as its factorization.

13442520303104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27431 (or 27415 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 13442520303104 its reverse (40130302524431), we get a palindrome (53572822827535).

The spelling of 13442520303104 in words is "thirteen trillion, four hundred forty-two billion, five hundred twenty million, three hundred three thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 128 241 256 482 512 964 1928 3856 4889 7712 9778 15424 19556 22283 30848 39112 44566 61696 78224 89132 123392 156448 178264 312896 356528 625792 713056 1178249 1251584 1426112 2356498 2503168 2852224 4712996 5370203 5704448 9425992 10740406 11408896 18851984 21480812 37703968 42961624 75407936 85923248 108941587 150815872 171846496 217883174 301631744 343692992 435766348 603263488 687385984 871532696 1374771968 1743065392 2749543936 3486130784 6972261568 13944523136 26254922467 27889046272 52509844934 55778092544 105019689868 210039379736 420078759472 840157518944 1680315037888 3360630075776 6721260151552 13442520303104