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311441111210440 = 23517458001634133
BaseRepresentation
bin100011011010000010000100…
…0110011010101100111001000
31111211201110221112011111211001
41012310010020303111213020
5311310122343432213230
63022214023223544344
7122412610032252001
oct10664041063254710
91454643845144731
10311441111210440
1190264485030702
122ab1b459bbb0b4
13104a1a034c3c13
1456c9b8a1581a8
152601470c460ca
hex11b4108cd59c8

311441111210440 has 32 divisors (see below), whose sum is σ = 741962647297080. Its totient is φ = 117248418337792.

The previous prime is 311441111210387. The next prime is 311441111210473. The reversal of 311441111210440 is 44012111144113.

It can be written as a sum of positive squares in 4 ways, for example, as 307323969912964 + 4117141297476 = 17530658^2 + 2029074^2 .

It is a junction number, because it is equal to n+sod(n) for n = 311441111210399 and 311441111210408.

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, 229000816387 + ... + 229000817746.

Almost surely, 2311441111210440 is an apocalyptic number.

It is an amenable number.

311441111210440 is an abundant number, since it is smaller than the sum of its proper divisors (430521536086640).

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

311441111210440 is a wasteful number, since it uses less digits than its factorization.

311441111210440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458001634161 (or 458001634157 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

Adding to 311441111210440 its reverse (44012111144113), we get a palindrome (355453222354553).

The spelling of 311441111210440 in words is "three hundred eleven trillion, four hundred forty-one billion, one hundred eleven million, two hundred ten thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 458001634133 916003268266 1832006536532 2290008170665 3664013073064 4580016341330 7786027780261 9160032682660 15572055560522 18320065365320 31144111121044 38930138901305 62288222242088 77860277802610 155720555605220 311441111210440