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1330340524464 = 243723172145513
BaseRepresentation
bin10011010110111110011…
…110010111000110110000
311201011211201101210100110
4103112332132113012300
5133244014133240324
62455052222221320
7165054035611050
oct23267636270660
94634751353313
101330340524464
114732155a92a6
121959b4424840
13985b1ba87b3
1448562d15560
15249128b5329
hex135be7971b0

1330340524464 has 80 divisors (see below), whose sum is σ = 4098440397312. Its totient is φ = 363571321344.

The previous prime is 1330340524463. The next prime is 1330340524511. The reversal of 1330340524464 is 4644250430331.

It is a super-3 number, since 3×13303405244643 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1330340524463) 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 15 ways as a sum of consecutive naturals, for example, 86065029 + ... + 86080484.

Almost surely, 21330340524464 is an apocalyptic number.

1330340524464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1330340524464 is an abundant number, since it is smaller than the sum of its proper divisors (2768099872848).

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

1330340524464 is a wasteful number, since it uses less digits than its factorization.

1330340524464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172145554 (or 172145548 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 39.

Adding to 1330340524464 its reverse (4644250430331), we get a palindrome (5974590954795).

The spelling of 1330340524464 in words is "one trillion, three hundred thirty billion, three hundred forty million, five hundred twenty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 168 184 276 322 336 368 483 552 644 966 1104 1288 1932 2576 3864 7728 172145513 344291026 516436539 688582052 1032873078 1205018591 1377164104 2065746156 2410037182 2754328208 3615055773 3959346799 4131492312 4820074364 7230111546 7918693598 8262984624 9640148728 11878040397 14460223092 15837387196 19280297456 23756080794 27715427593 28920446184 31674774392 47512161588 55430855186 57840892368 63349548784 83146282779 95024323176 110861710372 166292565558 190048646352 221723420744 332585131116 443446841488 665170262232 1330340524464