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1345303566324 = 2236881523669
BaseRepresentation
bin10011100100111010010…
…101110101011111110100
311202121110112000002000000
4103210322111311133310
5134020140203110244
62510005100151300
7166123606431564
oct23447225653764
94677415002000
101345303566324
114795a38780a3
1219888b538530
1399b27b84713
1449182278da4
1524edb329169
hex1393a5757f4

1345303566324 has 84 divisors (see below), whose sum is σ = 3533820467940. Its totient is φ = 447924660480.

The previous prime is 1345303566301. The next prime is 1345303566337. The reversal of 1345303566324 is 4236653035431.

1345303566324 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 3 + 0 + 3 + 5 + 6 + 632 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 415367360100 + 929936206224 = 644490^2 + 964332^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1345303566324.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2307162 + ... + 2830830.

It is an arithmetic number, because the mean of its divisors is an integer number (42069291285).

Almost surely, 21345303566324 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 1345303566324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766910233970).

1345303566324 is an abundant number, since it is smaller than the sum of its proper divisors (2188516901616).

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

1345303566324 is an equidigital number, since it uses as much as digits as its factorization.

1345303566324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524572 (or 524555 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 45.

The spelling of 1345303566324 in words is "one trillion, three hundred forty-five billion, three hundred three million, five hundred sixty-six thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 881 972 1458 1762 2643 2916 3524 5286 7929 10572 15858 23787 31716 47574 71361 95148 142722 214083 285444 428166 523669 642249 856332 1047338 1284498 1571007 2094676 2568996 3142014 4713021 6284028 9426042 14139063 18852084 28278126 42417189 56556252 84834378 127251567 169668756 254503134 381754701 461352389 509006268 763509402 922704778 1384057167 1527018804 1845409556 2768114334 4152171501 5536228668 8304343002 12456514503 16608686004 24913029006 37369543509 49826058012 74739087018 112108630527 149478174036 224217261054 336325891581 448434522108 672651783162 1345303566324