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1344445145352 = 2332194229232391
BaseRepresentation
bin10011100100000111001…
…011001110000100001000
311202112020200201202210200
4103210013023032010020
5134011410424122402
62505343553212200
7166063414115541
oct23440713160410
94675220652720
101344445145352
114791a3264781
1219868bb61060
1399a1c08850a
14491002634c8
1524e8acb221c
hex139072ce108

1344445145352 has 96 divisors (see below), whose sum is σ = 3833770824000. Its totient is φ = 424459405440.

The previous prime is 1344445145339. The next prime is 1344445145513. The reversal of 1344445145352 is 2535415444431.

1344445145352 is a `hidden beast` number, since 1 + 3 + 44 + 44 + 514 + 5 + 3 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1344445145298 and 1344445145307.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5669077 + ... + 5901467.

It is an arithmetic number, because the mean of its divisors is an integer number (39935112750).

Almost surely, 21344445145352 is an apocalyptic number.

1344445145352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1344445145352 is an abundant number, since it is smaller than the sum of its proper divisors (2489325678648).

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

1344445145352 is a wasteful number, since it uses less digits than its factorization.

1344445145352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236651 (or 236644 counting only the distinct ones).

The product of its digits is 2304000, while the sum is 45.

The spelling of 1344445145352 in words is "one trillion, three hundred forty-four billion, four hundred forty-five million, one hundred forty-five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 4229 8458 12687 16916 25374 33832 38061 50748 76122 80351 101496 152244 160702 232391 241053 304488 321404 464782 482106 642808 697173 723159 929564 964212 1394346 1446318 1859128 1928424 2091519 2788692 2892636 4183038 4415429 5577384 5785272 8366076 8830858 13246287 16732152 17661716 26492574 35323432 39738861 52985148 79477722 105970296 158955444 317910888 982781539 1965563078 2948344617 3931126156 5896689234 7862252312 8845033851 11793378468 17690067702 18672849241 23586756936 35380135404 37345698482 56018547723 70760270808 74691396964 112037095446 149382793928 168055643169 224074190892 336111286338 448148381784 672222572676 1344445145352