Search a number
-
+
1330794047232 = 28331314810297
BaseRepresentation
bin10011010111011001100…
…000011010011100000000
311201020000022210010122000
4103113121200122130000
5133300431234002412
62455205222544000
7165101213521626
oct23273140323400
94636008703560
101330794047232
11473428600701
12195b00298000
1398654b39a70
14485a724d516
152493c5ec4dc
hex135d981a700

1330794047232 has 144 divisors (see below), whose sum is σ = 4238114875680. Its totient is φ = 409475063808.

The previous prime is 1330794047213. The next prime is 1330794047293. The reversal of 1330794047232 is 2327404970331.

1330794047232 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 7 + 9 + 404 + 7 + 232 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×13307940472322 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7315293 + ... + 7495004.

Almost surely, 21330794047232 is an apocalyptic number.

1330794047232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1330794047232 is an abundant number, since it is smaller than the sum of its proper divisors (2907320828448).

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

1330794047232 is a wasteful number, since it uses less digits than its factorization.

1330794047232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14810335 (or 14810315 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 1330794047232 in words is "one trillion, three hundred thirty billion, seven hundred ninety-four million, forty-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 256 288 312 351 384 416 432 468 576 624 702 768 832 864 936 1152 1248 1404 1664 1728 1872 2304 2496 2808 3328 3456 3744 4992 5616 6912 7488 9984 11232 14976 22464 29952 44928 89856 14810297 29620594 44430891 59241188 88861782 118482376 133292673 177723564 192533861 236964752 266585346 355447128 385067722 399878019 473929504 533170692 577601583 710894256 770135444 799756038 947859008 1066341384 1155203166 1421788512 1540270888 1599512076 1732804749 1895718016 2132682768 2310406332 2843577024 3080541776 3199024152 3465609498 3791436032 4265365536 4620812664 5198414247 5687154048 6161083552 6398048304 6931218996 8530731072 9241625328 10396828494 11374308096 12322167104 12796096608 13862437992 17061462144 18483250656 20793656988 24644334208 25592193216 27724875984 34122924288 36966501312 41587313976 49288668416 51184386432 55449751968 73933002624 83174627952 102368772864 110899503936 147866005248 166349255904 221799007872 332698511808 443598015744 665397023616 1330794047232