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311141431244 = 227174733142017
BaseRepresentation
bin1001000011100010111…
…10010111011111001100
31002202002222111101011202
410201301132113133030
520044204201244434
6354534132405032
731323242346230
oct4416136273714
91082088441152
10311141431244
1110aa55254516
1250374776778
1323457144b87
14110b8b0a5c0
158160888a7e
hex48717977cc

311141431244 has 96 divisors (see below), whose sum is σ = 674955638784. Its totient is φ = 122458152960.

The previous prime is 311141431243. The next prime is 311141431247. The reversal of 311141431244 is 442134141113.

It is a happy number.

It is a super-3 number, since 3×3111414312443 (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (311141431243) 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, 7384124 + ... + 7426140.

It is an arithmetic number, because the mean of its divisors is an integer number (7030787904).

Almost surely, 2311141431244 is an apocalyptic number.

311141431244 is a gapful number since it is divisible by the number (34) 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 311141431244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337477819392).

311141431244 is an abundant number, since it is smaller than the sum of its proper divisors (363814207540).

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

311141431244 is a wasteful number, since it uses less digits than its factorization.

311141431244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42423 (or 42421 counting only the distinct ones).

The product of its digits is 4608, while the sum is 29.

Adding to 311141431244 its reverse (442134141113), we get a palindrome (753275572357).

The spelling of 311141431244 in words is "three hundred eleven billion, one hundred forty-one million, four hundred thirty-one thousand, two hundred forty-four".

Divisors: 1 2 4 7 14 17 28 34 47 68 94 119 188 238 329 331 476 658 662 799 1316 1324 1598 2317 3196 4634 5593 5627 9268 11186 11254 15557 22372 22508 31114 39389 42017 62228 78778 84034 108899 157556 168068 217798 264469 294119 435596 528938 588238 714289 1057876 1176476 1428578 1851283 1974799 2857156 3702566 3949598 5000023 7405132 7899196 10000046 13823593 13907627 20000092 27647186 27815254 33571583 55294372 55630508 67143166 97353389 134286332 194706778 235001081 236429659 389413556 470002162 472859318 653658469 940004324 945718636 1307316938 1655007613 2614633876 3310015226 4575609283 6620030452 9151218566 11112193973 18302437132 22224387946 44448775892 77785357811 155570715622 311141431244