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13343200301144 = 2372341534767431
BaseRepresentation
bin1100001000101011010010…
…1101101101000001011000
31202020121010120102020101002
43002022310231231001120
53222103333234114034
644213440454044132
72545004641130630
oct302126455550130
952217116366332
1013343200301144
11428490179370a
1215b6002949648
1375a3488b219c
14341b5879b6c0
15182149789e7e
hexc22b4b6d058

13343200301144 has 128 divisors (see below), whose sum is σ = 31140103034880. Its totient is φ = 5235782323200.

The previous prime is 13343200301129. The next prime is 13343200301149. The reversal of 13343200301144 is 44110300234331.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13343200301149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 415109 + ... + 5182539.

It is an arithmetic number, because the mean of its divisors is an integer number (243282054960).

Almost surely, 213343200301144 is an apocalyptic number.

13343200301144 is a gapful number since it is divisible by the number (14) 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 13343200301144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15570051517440).

13343200301144 is an abundant number, since it is smaller than the sum of its proper divisors (17796902733736).

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

13343200301144 is a wasteful number, since it uses less digits than its factorization.

13343200301144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4767561 (or 4767557 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 13343200301144 its reverse (44110300234331), we get a palindrome (57453500535475).

The spelling of 13343200301144 in words is "thirteen trillion, three hundred forty-three billion, two hundred million, three hundred one thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 23 28 41 46 53 56 82 92 106 161 164 184 212 287 322 328 371 424 574 644 742 943 1148 1219 1288 1484 1886 2173 2296 2438 2968 3772 4346 4876 6601 7544 8533 8692 9752 13202 15211 17066 17384 26404 30422 34132 49979 52808 60844 68264 99958 121688 199916 349853 399832 699706 1399412 2798824 4767431 9534862 19069724 33372017 38139448 66744034 109650913 133488068 195464671 219301826 252673843 266976136 390929342 438603652 505347686 767556391 781858684 877207304 1010695372 1368252697 1535112782 1563717368 1768716901 2021390744 2736505394 3070225564 3537433802 4495687433 5473010788 5811498389 6140451128 7074867604 8991374866 10359627563 10946021576 11622996778 14149735208 17982749732 20719255126 23245993556 31469812031 35965499464 40680488723 41438510252 46491987112 62939624062 72517392941 81360977446 82877020504 125879248124 145034785882 162721954892 238271433949 251758496248 290069571764 325443909784 476542867898 580139143528 953085735796 1667900037643 1906171471592 3335800075286 6671600150572 13343200301144