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1428814133835 = 3511231793735639
BaseRepresentation
bin10100110010101011111…
…101010111101001001011
312001121000111212110021220
4110302223331113221023
5141402202404240320
63012215501333123
7205141226515104
oct24625375275113
95047014773256
101428814133835
11500a58369540
121b0ab6b671a3
13a49763b5aca
144d2253633ab
1527277ae0e40
hex14cabf57a4b

1428814133835 has 128 divisors (see below), whose sum is σ = 2624381337600. Its totient is φ = 657053422080.

The previous prime is 1428814133827. The next prime is 1428814133843. The reversal of 1428814133835 is 5383314188241.

It is an interprime number because it is at equal distance from previous prime (1428814133827) and next prime (1428814133843).

It is not a de Polignac number, because 1428814133835 - 23 = 1428814133827 is a prime.

It is a super-2 number, since 2×14288141338352 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 253377946 + ... + 253383584.

It is an arithmetic number, because the mean of its divisors is an integer number (20502979200).

Almost surely, 21428814133835 is an apocalyptic number.

1428814133835 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1428814133835 is a deficient number, since it is larger than the sum of its proper divisors (1195567203765).

1428814133835 is a wasteful number, since it uses less digits than its factorization.

1428814133835 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6233.

The product of its digits is 2211840, while the sum is 51.

The spelling of 1428814133835 in words is "one trillion, four hundred twenty-eight billion, eight hundred fourteen million, one hundred thirty-three thousand, eight hundred thirty-five".

Divisors: 1 3 5 11 15 23 33 55 69 115 165 179 253 345 373 537 759 895 1119 1265 1865 1969 2685 3795 4103 4117 5595 5639 5907 8579 9845 12309 12351 16917 20515 20585 25737 28195 29535 42895 45287 61545 61755 62029 66767 84585 94369 128685 129697 135861 186087 200301 226435 283107 310145 333835 389091 471845 648485 679305 734437 930435 1001505 1009381 1415535 1426667 1535641 1945455 2103347 2203311 3028143 3672185 4280001 4606923 5046905 6310041 7133335 7678205 10516735 11016555 11103191 15140715 16892051 21400005 23034615 23136817 23215763 31550205 33309573 48376981 50676153 55515955 69410451 69647289 84460255 115684085 116078815 145130943 166547865 241884905 253380765 255373393 347052255 348236445 376499113 532146791 725654715 766120179 1129497339 1276866965 1596440373 1882495565 2660733955 3830600895 4141490243 5647486695 7982201865 8659479599 12424470729 20707451215 25978438797 43297397995 62122353645 95254275589 129892193985 285762826767 476271377945 1428814133835