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1434848413365 = 325174189514009
BaseRepresentation
bin10100111000010011101…
…000010100011010110101
312002011121001102121122100
4110320103220110122311
5142002032143211430
63015054341052313
7205443611164563
oct24702350243265
95064531377570
101434848413365
11503574583014
121b20bb9b7099
13a53c85c4703
144d638936a33
15274cc74a960
hex14e13a146b5

1434848413365 has 96 divisors (see below), whose sum is σ = 2727912751200. Its totient is φ = 694774333440.

The previous prime is 1434848413351. The next prime is 1434848413403. The reversal of 1434848413365 is 5633148484341.

1434848413365 is a `hidden beast` number, since 1 + 43 + 484 + 84 + 13 + 36 + 5 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 1155867962769 + 278980450596 = 1075113^2 + 528186^2 .

It is not a de Polignac number, because 1434848413365 - 25 = 1434848413333 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2534481 + ... + 3048489.

It is an arithmetic number, because the mean of its divisors is an integer number (28415757825).

Almost surely, 21434848413365 is an apocalyptic number.

1434848413365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1434848413365 is a deficient number, since it is larger than the sum of its proper divisors (1293064337835).

1434848413365 is a wasteful number, since it uses less digits than its factorization.

1434848413365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514167 (or 514164 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 54.

The spelling of 1434848413365 in words is "one trillion, four hundred thirty-four billion, eight hundred forty-eight million, four hundred thirteen thousand, three hundred sixty-five".

Divisors: 1 3 5 9 15 17 41 45 51 85 89 123 153 205 255 267 369 445 615 697 765 801 1335 1513 1845 2091 3485 3649 4005 4539 6273 7565 10455 10947 13617 18245 22695 31365 32841 54735 62033 68085 164205 186099 310165 514009 558297 930495 1542027 2570045 2791485 4626081 7710135 8738153 21074369 23130405 26214459 43690765 45746801 63223107 78643377 105371845 131072295 137240403 189669321 228734005 316115535 358264273 393216885 411721209 686202015 777695617 948346605 1074792819 1791321365 1875618841 2058606045 2333086851 3224378457 3888478085 5373964095 5626856523 6999260553 9378094205 11665434255 16121892285 16880569569 28134282615 31885520297 34996302765 84402847845 95656560891 159427601485 286969682673 478282804455 1434848413365