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1344646412145 = 325596773103549
BaseRepresentation
bin10011100100010011001…
…010111111011101110001
311202112202201110011221100
4103210103022333131301
5134012313440142040
62505415543115013
7166101406630311
oct23442312773561
94675681404840
101344646412145
11479296932473
12198727442a69
1399a519972aa
144911cc95441
1524e9d7bbb30
hex139132bf771

1344646412145 has 96 divisors (see below), whose sum is σ = 2438577648000. Its totient is φ = 684947653632.

The previous prime is 1344646412129. The next prime is 1344646412147. The reversal of 1344646412145 is 5412146464431.

It is a happy number.

1344646412145 is a `hidden beast` number, since 1 + 3 + 4 + 46 + 464 + 1 + 2 + 145 = 666.

It is not a de Polignac number, because 1344646412145 - 24 = 1344646412129 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 1344646412145.

It is not an unprimeable number, because it can be changed into a prime (1344646412147) 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 95 ways as a sum of consecutive naturals, for example, 12933831 + ... + 13037379.

It is an arithmetic number, because the mean of its divisors is an integer number (25401850500).

Almost surely, 21344646412145 is an apocalyptic number.

1344646412145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1344646412145 is a deficient number, since it is larger than the sum of its proper divisors (1093931235855).

1344646412145 is a wasteful number, since it uses less digits than its factorization.

1344646412145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103759 (or 103756 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The spelling of 1344646412145 in words is "one trillion, three hundred forty-four billion, six hundred forty-six million, four hundred twelve thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 45 59 67 73 177 201 219 295 335 365 531 603 657 885 1005 1095 2655 3015 3285 3953 4307 4891 11859 12921 14673 19765 21535 24455 35577 38763 44019 59295 64605 73365 103549 177885 193815 220095 288569 310647 517745 865707 931941 1442845 1553235 2597121 4328535 4659705 6109391 6937783 7559077 12985605 18328173 20813349 22677231 30546955 34688915 37795385 54984519 62440047 68031693 91640865 104066745 113386155 274922595 312200235 340158465 409329197 445985543 506458159 1227987591 1337956629 1519374477 2046645985 2229927715 2532290795 3683962773 4013869887 4558123431 6139937955 6689783145 7596872385 18419813865 20069349435 22790617155 29881031381 89643094143 149405156905 268929282429 448215470715 1344646412145