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1343103316608 = 27325778717293
BaseRepresentation
bin10011100010110111001…
…100100011001010000000
311202101210011211210210210
4103202313030203022000
5134001133422112413
62505002501154120
7166015231552434
oct23426714431200
94671704753723
101343103316608
114786748979a9
121983766bb940
1399867096501
1449013d749c4
1524e0d0ad3c3
hex138b7323280

1343103316608 has 128 divisors (see below), whose sum is σ = 3586258163520. Its totient is φ = 445366665216.

The previous prime is 1343103316603. The next prime is 1343103316613. The reversal of 1343103316608 is 8066133013431.

It is an interprime number because it is at equal distance from previous prime (1343103316603) and next prime (1343103316613).

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (1343103316603) 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, 77658810 + ... + 77676102.

Almost surely, 21343103316608 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 1343103316608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793129081760).

1343103316608 is an abundant number, since it is smaller than the sum of its proper divisors (2243154846912).

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

1343103316608 is a wasteful number, since it uses less digits than its factorization.

1343103316608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18354 (or 18342 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The spelling of 1343103316608 in words is "one trillion, three hundred forty-three billion, one hundred three million, three hundred sixteen thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 257 384 514 771 787 1028 1542 1574 2056 2361 3084 3148 4112 4722 6168 6296 8224 9444 12336 12592 16448 17293 18888 24672 25184 32896 34586 37776 49344 50368 51879 69172 75552 98688 100736 103758 138344 151104 202259 207516 276688 302208 404518 415032 553376 606777 809036 830064 1106752 1213554 1618072 1660128 2213504 2427108 3236144 3320256 4444301 4854216 6472288 6640512 8888602 9708432 12944576 13332903 13609591 17777204 19416864 25889152 26665806 27219182 35554408 38833728 40828773 53331612 54438364 71108816 77667456 81657546 106663224 108876728 142217632 163315092 213326448 217753456 284435264 326630184 426652896 435506912 568870528 653260368 853305792 871013824 1306520736 1706611584 1742027648 2613041472 3497664887 5226082944 6995329774 10492994661 13990659548 20985989322 27981319096 41971978644 55962638192 83943957288 111925276384 167887914576 223850552768 335775829152 447701105536 671551658304 1343103316608