Search a number
-
+
141012322343304 = 23361672775189929
BaseRepresentation
bin100000000011111111111101…
…011000011101100110001000
3200111021122110012022212022120
4200003333331120131212020
5121440321214004441204
61215524055552051240
741462542542160206
oct4003777530354610
9614248405285276
10141012322343304
1140a26a98863035
1213995171533b20
13608b535862729
1426b70660a0076
1511480c29476d9
hex803ffd61d988

141012322343304 has 128 divisors (see below), whose sum is σ = 364970824598400. Its totient is φ = 45379069655040.

The previous prime is 141012322343273. The next prime is 141012322343369. The reversal of 141012322343304 is 403343223210141.

141012322343304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24575412 + ... + 29765340.

It is an arithmetic number, because the mean of its divisors is an integer number (2851334567175).

Almost surely, 2141012322343304 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 141012322343304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182485412299200).

141012322343304 is an abundant number, since it is smaller than the sum of its proper divisors (223958502255096).

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

141012322343304 is a wasteful number, since it uses less digits than its factorization.

141012322343304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5190343 (or 5190339 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 141012322343304 its reverse (403343223210141), we get a palindrome (544355545553445).

The spelling of 141012322343304 in words is "one hundred forty-one trillion, twelve billion, three hundred twenty-two million, three hundred forty-three thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 24 61 67 122 134 183 201 244 268 277 366 402 488 536 554 732 804 831 1108 1464 1608 1662 2216 3324 4087 6648 8174 12261 16348 16897 18559 24522 32696 33794 37118 49044 50691 55677 67588 74236 98088 101382 111354 135176 148472 202764 222708 405528 445416 1132099 2264198 3396297 4528396 5189929 6792594 9056792 10379858 13585188 15569787 20759716 27170376 31139574 41519432 62279148 124558296 316585669 347725243 633171338 695450486 949757007 1043175729 1266342676 1390900972 1437610333 1899514014 2086351458 2532685352 2781801944 2875220666 3799028028 4172702916 4312830999 5750441332 7598056056 8345405832 8625661998 11500882664 17251323996 21211239823 34502647992 42422479646 63633719469 84844959292 87694230313 96319892311 127267438938 169689918584 175388460626 192639784622 254534877876 263082690939 288959676933 350776921252 385279569244 509069755752 526165381878 577919353866 701553842504 770559138488 1052330763756 1155838707732 2104661527512 2311677415464 5875513430971 11751026861942 17626540292913 23502053723884 35253080585826 47004107447768 70506161171652 141012322343304