Search a number
-
+
1341001056256 = 2148321092
BaseRepresentation
bin10011100000111001111…
…001000100000000000000
311202012100200001220202021
4103200321321010000000
5133432332232300011
62504014122331224
7165612153622501
oct23407171040000
94665320056667
101341001056256
11477796155654
12197a8a659b14
13995c0696884
1448c94a9aba8
1524d3874b471
hex13839e44000

1341001056256 has 135 divisors (see below), whose sum is σ = 2739755133381. Its totient is φ = 656344940544.

The previous prime is 1341001056169. The next prime is 1341001056289. The reversal of 1341001056256 is 6526501001431.

The square root of 1341001056256 is 1158016.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 934671302656 + 406329753600 = 966784^2 + 637440^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12302761930 + ... + 12302762038.

Almost surely, 21341001056256 is an apocalyptic number.

1341001056256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1341001056256 is the 1158016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1341001056256

1341001056256 is an abundant number, since it is smaller than the sum of its proper divisors (1398754077125).

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

1341001056256 is an frugal number, since it uses more digits than its factorization.

1341001056256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

Adding to 1341001056256 its reverse (6526501001431), we get a palindrome (7867502057687).

The spelling of 1341001056256 in words is "one trillion, three hundred forty-one billion, one million, fifty-six thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 83 109 128 166 218 256 332 436 512 664 872 1024 1328 1744 2048 2656 3488 4096 5312 6889 6976 8192 9047 10624 11881 13778 13952 16384 18094 21248 23762 27556 27904 36188 42496 47524 55112 55808 72376 84992 95048 110224 111616 144752 169984 190096 220448 223232 289504 339968 380192 440896 446464 579008 679936 750901 760384 881792 892928 986123 1158016 1359872 1501802 1520768 1763584 1785856 1972246 2316032 3003604 3041536 3527168 3944492 4632064 6007208 6083072 7054336 7888984 9264128 12014416 12166144 14108672 15777968 18528256 24028832 24332288 28217344 31555936 37056512 48057664 48664576 56434688 63111872 74113024 81848209 96115328 97329152 112869376 126223744 148226048 163696418 192230656 194658304 252447488 327392836 384461312 504894976 654785672 768922624 1009789952 1309571344 1537845248 2019579904 2619142688 3075690496 4039159808 5238285376 6151380992 8078319616 10476570752 12302761984 16156639232 20953141504 41906283008 83812566016 167625132032 335250264064 670500528128 1341001056256