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1343141579376 = 243261791935541
BaseRepresentation
bin10011100010111001011…
…110100000101001110000
311202101212211211202110100
4103202321132200221300
5134001223221020001
62505010345232400
7166016205023622
oct23427136405160
94671784752410
101343141579376
11478694451323
12198387492700
1399871ca23bc
1449019094c12
1524e1161a586
hex138b97a0a70

1343141579376 has 120 divisors (see below), whose sum is σ = 3868916192960. Its totient is φ = 434799705600.

The previous prime is 1343141579363. The next prime is 1343141579419. The reversal of 1343141579376 is 6739751413431.

It is a happy number.

1343141579376 is a `hidden beast` number, since 1 + 3 + 4 + 31 + 4 + 1 + 579 + 37 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 273835 + ... + 1661706.

Almost surely, 21343141579376 is an apocalyptic number.

1343141579376 is a gapful number since it is divisible by the number (16) 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 1343141579376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1934458096480).

1343141579376 is an abundant number, since it is smaller than the sum of its proper divisors (2525774613584).

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

1343141579376 is a wasteful number, since it uses less digits than its factorization.

1343141579376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1935695 (or 1935686 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

The spelling of 1343141579376 in words is "one trillion, three hundred forty-three billion, one hundred forty-one million, five hundred seventy-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 79 122 144 158 183 237 244 316 366 474 488 549 632 711 732 948 976 1098 1264 1422 1464 1896 2196 2844 2928 3792 4392 4819 5688 8784 9638 11376 14457 19276 28914 38552 43371 57828 77104 86742 115656 173484 231312 346968 693936 1935541 3871082 5806623 7742164 11613246 15484328 17419869 23226492 30968656 34839738 46452984 69679476 92905968 118068001 139358952 152907739 236136002 278717904 305815478 354204003 458723217 472272004 611630956 708408006 917446434 944544008 1062612009 1223261912 1376169651 1416816012 1834892868 1889088016 2125224018 2446523824 2752339302 2833632024 3669785736 4250448036 5504678604 5667264048 7339571472 8500896072 9327372079 11009357208 17001792144 18654744158 22018714416 27982116237 37309488316 55964232474 74618976632 83946348711 111928464948 149237953264 167892697422 223856929896 335785394844 447713859792 671570789688 1343141579376