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1341071791728 = 2431719731726317
BaseRepresentation
bin10011100000111110000…
…110111001011001110000
311202012112121011122120120
4103200332012321121300
5133433003334313403
62504025130410240
7165614003101404
oct23407606713160
94665477148516
101341071791728
11477822079219
12197aaa290980
1399602232096
1448ca0231104
1524d3ea6ee53
hex1383e1b9670

1341071791728 has 160 divisors (see below), whose sum is σ = 3698617184064. Its totient is φ = 417256390656.

The previous prime is 1341071791693. The next prime is 1341071791729. The reversal of 1341071791728 is 8271971701431.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1341071791729) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50945226 + ... + 50971542.

Almost surely, 21341071791728 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 1341071791728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849308592032).

1341071791728 is an abundant number, since it is smaller than the sum of its proper divisors (2357545392336).

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

1341071791728 is a wasteful number, since it uses less digits than its factorization.

1341071791728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26859 (or 26853 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 51.

The spelling of 1341071791728 in words is "one trillion, three hundred forty-one billion, seventy-one million, seven hundred ninety-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 197 204 272 317 394 408 591 634 788 816 951 1182 1268 1576 1902 2364 2536 3152 3349 3804 4728 5072 5389 6698 7608 9456 10047 10778 13396 15216 16167 20094 21556 26317 26792 32334 40188 43112 52634 53584 62449 64668 78951 80376 86224 105268 124898 129336 157902 160752 187347 210536 249796 258672 315804 374694 421072 447389 499592 631608 749388 894778 999184 1061633 1263216 1342167 1498776 1789556 2123266 2684334 2997552 3184899 3579112 4246532 5184449 5368668 6369798 7158224 8342489 8493064 10368898 10737336 12739596 15553347 16684978 16986128 20737796 21474672 25027467 25479192 31106694 33369956 41475592 50054934 50958384 62213388 66739912 82951184 88135633 100109868 124426776 133479824 141822313 176271266 200219736 248853552 264406899 283644626 352542532 400439472 425466939 528813798 567289252 705085064 850933878 1057627596 1134578504 1410170128 1643470333 1701867756 2115255192 2269157008 3286940666 3403735512 4230510384 4930410999 6573881332 6807471024 9860821998 13147762664 19721643996 26295525328 27938995661 39443287992 55877991322 78886575984 83816986983 111755982644 167633973966 223511965288 335267947932 447023930576 670535895864 1341071791728