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1343247268736 = 2731717960353
BaseRepresentation
bin10011100010111111110…
…001101011101110000000
311202102011012201100000002
4103202333301223232000
5134001432300044421
62505025042415132
7166021630253102
oct23427761535600
94672135640002
101343247268736
114787390792aa
121983b69614a8
139988ab58699
1449029127572
1524e1aa45b0b
hex138bfc6bb80

1343247268736 has 128 divisors (see below), whose sum is σ = 2836734566400. Its totient is φ = 632682086400.

The previous prime is 1343247268697. The next prime is 1343247268751. The reversal of 1343247268736 is 6378627423431.

It is a happy number.

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

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, 22226336 + ... + 22286688.

It is an arithmetic number, because the mean of its divisors is an integer number (22161988800).

Almost surely, 21343247268736 is an apocalyptic number.

1343247268736 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 1343247268736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418367283200).

1343247268736 is an abundant number, since it is smaller than the sum of its proper divisors (1493487297664).

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

1343247268736 is an equidigital number, since it uses as much as digits as its factorization.

1343247268736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60548 (or 60536 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 56.

The spelling of 1343247268736 in words is "one trillion, three hundred forty-three billion, two hundred forty-seven million, two hundred sixty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 31 32 62 64 71 79 124 128 142 158 248 284 316 496 568 632 992 1136 1264 1984 2201 2272 2449 2528 3968 4402 4544 4898 5056 5609 8804 9088 9796 10112 11218 17608 19592 22436 35216 39184 44872 60353 70432 78368 89744 120706 140864 156736 173879 179488 241412 281728 313472 347758 358976 482824 695516 717952 965648 1391032 1870943 1931296 2782064 3741886 3862592 4285063 4767887 5564128 7483772 7725184 8570126 9535774 11128256 14967544 17140252 19071548 22256512 29935088 34280504 38143096 59870176 68561008 76286192 119740352 132836953 137122016 147804497 152572384 239480704 265673906 274244032 295608994 305144768 338519977 531347812 548488064 591217988 610289536 677039954 1062695624 1182435976 1354079908 2125391248 2364871952 2708159816 4250782496 4729743904 5416319632 8501564992 9459487808 10494119287 10832639264 17003129984 18918975616 20988238574 21665278528 41976477148 43330557056 83952954296 167905908592 335811817184 671623634368 1343247268736