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313441143344 = 24731181498767
BaseRepresentation
bin1001000111110101000…
…11000100101000110000
31002222001020210212002222
410203322203010220300
520113411413041334
6355554243300212
731434235521230
oct4437243045060
91088036725088
10313441143344
11110a2539922a
12508b697a668
1323732718c74
1411256301cc0
1582476eed2e
hex48fa8c4a30

313441143344 has 80 divisors (see below), whose sum is σ = 720396558336. Its totient is φ = 129280147200.

The previous prime is 313441143319. The next prime is 313441143347. The reversal of 313441143344 is 443341144313.

It is not an unprimeable number, because it can be changed into a prime (313441143347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 379049 + ... + 877815.

Almost surely, 2313441143344 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 313441143344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360198279168).

313441143344 is an abundant number, since it is smaller than the sum of its proper divisors (406955414992).

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

313441143344 is a wasteful number, since it uses less digits than its factorization.

313441143344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498994 (or 498988 counting only the distinct ones).

The product of its digits is 82944, while the sum is 35.

Adding to 313441143344 its reverse (443341144313), we get a palindrome (756782287657).

The spelling of 313441143344 in words is "three hundred thirteen billion, four hundred forty-one million, one hundred forty-three thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 181 217 248 362 434 496 724 868 1267 1448 1736 2534 2896 3472 5068 5611 10136 11222 20272 22444 39277 44888 78554 89776 157108 314216 498767 628432 997534 1995068 3491369 3990136 6982738 7980272 13965476 15461777 27930952 30923554 55861904 61847108 90276827 108232439 123694216 180553654 216464878 247388432 361107308 432929756 631937789 722214616 865859512 1263875578 1444429232 1731719024 2527751156 2798581637 5055502312 5597163274 10111004624 11194326548 19590071459 22388653096 39180142918 44777306192 78360285836 156720571672 313441143344