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14083170902016 = 21331093524287
BaseRepresentation
bin1100110011101111111001…
…1001100010000000000000
31211212100010101122112120220
43030323332121202000000
53321214313222331031
645541415220103040
72652322050351336
oct314737631420000
954770111575526
1014083170902016
11453a703910347
1216b54b5534a80
137b2063caa038
143698b43b9b56
1519650796d596
hexccefe662000

14083170902016 has 112 divisors (see below), whose sum is σ = 37587259490304. Its totient is φ = 4690086395904.

The previous prime is 14083170901997. The next prime is 14083170902051. The reversal of 14083170902016 is 61020907138041.

It is a happy 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 7 ways as a sum of consecutive naturals, for example, 26599425 + ... + 27123711.

Almost surely, 214083170902016 is an apocalyptic number.

14083170902016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14083170902016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18793629745152).

14083170902016 is an abundant number, since it is smaller than the sum of its proper divisors (23504088588288).

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

14083170902016 is an equidigital number, since it uses as much as digits as its factorization.

14083170902016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525409 (or 525385 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 14083170902016 in words is "fourteen trillion, eighty-three billion, one hundred seventy million, nine hundred two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1093 1536 2048 2186 3072 3279 4096 4372 6144 6558 8192 8744 12288 13116 17488 24576 26232 34976 52464 69952 104928 139904 209856 279808 419712 524287 559616 839424 1048574 1119232 1572861 1678848 2097148 2238464 3145722 3357696 4194296 4476928 6291444 6715392 8388592 8953856 12582888 13430784 16777184 25165776 26861568 33554368 50331552 67108736 100663104 134217472 201326208 268434944 402652416 536869888 573045691 805304832 1073739776 1146091382 1610609664 1719137073 2147479552 2292182764 3221219328 3438274146 4294959104 4584365528 6442438656 6876548292 9168731056 12884877312 13753096584 18337462112 27506193168 36674924224 55012386336 73349848448 110024772672 146699696896 220049545344 293399393792 440099090688 586798787584 880198181376 1173597575168 1760396362752 2347195150336 3520792725504 4694390300672 7041585451008 14083170902016