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303431011040 = 25517326341681
BaseRepresentation
bin1000110101001011110…
…01011100101011100000
31002000012121222110002002
410122211321130223200
514432411314323130
6351221055343132
730631206016103
oct4324571345340
91060177873062
10303431011040
11107758993713
124a982521aa8
13227c88c1961
1410986aa273a
157d5d9deb45
hex46a5e5cae0

303431011040 has 96 divisors (see below), whose sum is σ = 723758245056. Its totient is φ = 120209121280.

The previous prime is 303431011007. The next prime is 303431011049. The reversal of 303431011040 is 40110134303.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (303431011049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7259000 + ... + 7300680.

It is an arithmetic number, because the mean of its divisors is an integer number (7539148386).

Almost surely, 2303431011040 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 303431011040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361879122528).

303431011040 is an abundant number, since it is smaller than the sum of its proper divisors (420327234016).

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

303431011040 is a wasteful number, since it uses less digits than its factorization.

303431011040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42132 (or 42124 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 303431011040 its reverse (40110134303), we get a palindrome (343541145343).

The spelling of 303431011040 in words is "three hundred three billion, four hundred thirty-one million, eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 173 263 346 526 692 865 1052 1315 1384 1730 2104 2630 2768 3460 4208 5260 5536 6920 8416 10520 13840 21040 27680 41681 42080 45499 83362 90998 166724 181996 208405 227495 333448 363992 416810 454990 666896 727984 833620 909980 1333792 1455968 1667240 1819960 3334480 3639920 6668960 7210813 7279840 10962103 14421626 21924206 28843252 36054065 43848412 54810515 57686504 72108130 87696824 109621030 115373008 144216260 175393648 219242060 230746016 288432520 350787296 438484120 576865040 876968240 1153730080 1753936480 1896443819 3792887638 7585775276 9482219095 15171550552 18964438190 30343101104 37928876380 60686202208 75857752760 151715505520 303431011040