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312164113415340 = 223527435718963377
BaseRepresentation
bin100011011111010010101111…
…1000101110111110010101100
31111221021121010210100222200210
41012332211133011313302230
5311403444101013242330
63023530114114222420
7122516053510510254
oct10676453705676254
91457247123328623
10312164113415340
1190513069a1529a
122b0175b5b84a10
1310524c46312794
145712b76362964
1526151893e68b0
hex11be95f177cac

312164113415340 has 48 divisors (see below), whose sum is σ = 874062749502432. Its totient is φ = 83243455773696.

The previous prime is 312164113415339. The next prime is 312164113415419. The reversal of 312164113415340 is 43514311461213.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6979732 + ... + 25943108.

It is an arithmetic number, because the mean of its divisors is an integer number (18209640614634).

Almost surely, 2312164113415340 is an apocalyptic number.

312164113415340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312164113415340 is an abundant number, since it is smaller than the sum of its proper divisors (561898636087092).

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

312164113415340 is a wasteful number, since it uses less digits than its factorization.

312164113415340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19237746 (or 19237744 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

Adding to 312164113415340 its reverse (43514311461213), we get a palindrome (355678424876553).

The spelling of 312164113415340 in words is "three hundred twelve trillion, one hundred sixty-four billion, one hundred thirteen million, four hundred fifteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 274357 548714 823071 1097428 1371785 1646142 2743570 3292284 4115355 5487140 8230710 16461420 18963377 37926754 56890131 75853508 94816885 113780262 189633770 227560524 284450655 379267540 568901310 1137802620 5202735223589 10405470447178 15608205670767 20810940894356 26013676117945 31216411341534 52027352235890 62432822683068 78041028353835 104054704471780 156082056707670 312164113415340