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312332441401420 = 225117344943313693
BaseRepresentation
bin100011100000100001001000…
…0001110001011100001001100
31111221212200121212011122220121
41013001002100032023201030
5311414223314444321140
63024135313123154324
7122534163030003256
oct10701022016134114
91457780555148817
10312332441401420
1190578498754680
122b0441528159a4
1310537a90a3b6cb
14571ad83d1acd6
15261973c06a64a
hex11c109038b84c

312332441401420 has 96 divisors (see below), whose sum is σ = 726942389140800. Its totient is φ = 111770115932160.

The previous prime is 312332441401349. The next prime is 312332441401433. The reversal of 312332441401420 is 24104144233213.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14445907 + ... + 28867786.

It is an arithmetic number, because the mean of its divisors is an integer number (7572316553550).

Almost surely, 2312332441401420 is an apocalyptic number.

It is an amenable number.

312332441401420 is an abundant number, since it is smaller than the sum of its proper divisors (414609947739380).

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

312332441401420 is a wasteful number, since it uses less digits than its factorization.

312332441401420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43314235 (or 43314233 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 312332441401420 its reverse (24104144233213), we get a palindrome (336436585634633).

The spelling of 312332441401420 in words is "three hundred twelve trillion, three hundred thirty-two billion, four hundred forty-one million, four hundred one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 73 110 146 220 292 365 449 730 803 898 1460 1606 1796 2245 3212 4015 4490 4939 8030 8980 9878 16060 19756 24695 32777 49390 65554 98780 131108 163885 327770 360547 655540 721094 1442188 1802735 3605470 7210940 43313693 86627386 173254772 216568465 433136930 476450623 866273860 952901246 1905802492 2382253115 3161899589 4764506230 6323799178 9529012460 12647598356 15809497945 19447848157 31618995890 34780895479 38895696314 63237991780 69561790958 77791392628 97239240785 139123581916 173904477395 194478481570 213926329727 347808954790 388956963140 427852659454 695617909580 855705318908 1069631648635 1419692915461 2139263297270 2839385830922 4278526594540 5678771661844 7098464577305 14196929154610 15616622070071 28393858309220 31233244140142 62466488280284 78083110350355 156166220700710 312332441401420