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311441331020144 = 241310913736826527
BaseRepresentation
bin100011011010000010001010…
…1111001110110000101110000
31111211201111111211210000001012
41012310010111321312011300
5311310123321220121034
63022214101115130052
7122412615341513423
oct10664042571660560
91454644454700035
10311441331020144
1190264588113a16
122ab1b4bb743928
13104a1a39bc5b30
1456c9bab4159ba
1526014851b4cce
hex11b4115e76170

311441331020144 has 40 divisors (see below), whose sum is σ = 655796098446720. Its totient is φ = 142423417421568.

The previous prime is 311441331020119. The next prime is 311441331020221. The reversal of 311441331020144 is 441020133144113.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 311441331020144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6868390592 + ... + 6868435935.

It is an arithmetic number, because the mean of its divisors is an integer number (16394902461168).

Almost surely, 2311441331020144 is an apocalyptic number.

It is an amenable number.

311441331020144 is an abundant number, since it is smaller than the sum of its proper divisors (344354767426576).

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

311441331020144 is a wasteful number, since it uses less digits than its factorization.

311441331020144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13736826657 (or 13736826651 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 311441331020144 its reverse (441020133144113), we get a palindrome (752461464164257).

The spelling of 311441331020144 in words is "three hundred eleven trillion, four hundred forty-one billion, three hundred thirty-one million, twenty thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 104 109 208 218 436 872 1417 1744 2834 5668 11336 22672 13736826527 27473653054 54947306108 109894612216 178578744851 219789224432 357157489702 714314979404 1428629958808 1497314091443 2857259917616 2994628182886 5989256365772 11978512731544 19465083188759 23957025463088 38930166377518 77860332755036 155720665510072 311441331020144