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1361443350465 = 335112139142859
BaseRepresentation
bin10011110011111100010…
…110001110011111000001
311211011010022212001121000
4103303330112032133001
5134301213444203330
62521234411522213
7200234556353052
oct23637426163701
94734108761530
101361443350465
11485426307880
1219ba34759369
139b4ca8a0953
1449c739d6729
1525633232560
hex13cfc58e7c1

1361443350465 has 64 divisors (see below), whose sum is σ = 2640560025600. Its totient is φ = 660047486400.

The previous prime is 1361443350461. The next prime is 1361443350497. The reversal of 1361443350465 is 5640533441631.

1361443350465 is a `hidden beast` number, since 1 + 36 + 14 + 43 + 3 + 504 + 65 = 666.

It is not a de Polignac number, because 1361443350465 - 22 = 1361443350461 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1361443350465.

It is not an unprimeable number, because it can be changed into a prime (1361443350461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31744206 + ... + 31787064.

It is an arithmetic number, because the mean of its divisors is an integer number (41258750400).

Almost surely, 21361443350465 is an apocalyptic number.

1361443350465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1361443350465 is a deficient number, since it is larger than the sum of its proper divisors (1279116675135).

1361443350465 is a wasteful number, since it uses less digits than its factorization.

1361443350465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64275 (or 64269 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 1361443350465 in words is "one trillion, three hundred sixty-one billion, four hundred forty-three million, three hundred fifty thousand, four hundred sixty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 99 135 165 297 495 1485 21391 42859 64173 106955 128577 192519 214295 235301 320865 385731 471449 577557 642885 705903 962595 1157193 1176505 1414347 1928655 2117709 2357245 2887785 3529515 4243041 5785965 6353127 7071735 10588545 12729123 21215205 31765635 63645615 916796869 2750390607 4583984345 8251171821 10084765559 13751953035 24753515463 30254296677 41255859105 50423827795 90762890031 123767577315 151271483385 272288670093 453814450155 1361443350465