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14186701801728 = 2835228052691
BaseRepresentation
bin1100111001110001100101…
…0100100100100100000000
31212020020100122022011200000
43032130121110210210000
53324413331130123403
650101140354400000
72662645460443161
oct316343124444400
955206318264600
1014186701801728
11457a601358685
121711589890000
137bba53184741
143708d635d768
15199066b6a7a3
hexce719524900

14186701801728 has 108 divisors (see below), whose sum is σ = 42418712922768. Its totient is φ = 4728900579840.

The previous prime is 14186701801717. The next prime is 14186701801757. The reversal of 14186701801728 is 82710810768141.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×141867018017282 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 11 ways as a sum of consecutive naturals, for example, 113964138 + ... + 114088553.

It is an arithmetic number, because the mean of its divisors is an integer number (392765860396).

Almost surely, 214186701801728 is an apocalyptic number.

14186701801728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14186701801728 is an abundant number, since it is smaller than the sum of its proper divisors (28232011121040).

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

14186701801728 is an frugal number, since it uses more digits than its factorization.

14186701801728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228052722 (or 228052696 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 54.

The spelling of 14186701801728 in words is "fourteen trillion, one hundred eighty-six billion, seven hundred one million, eight hundred one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 768 864 972 1152 1296 1728 1944 2304 2592 3456 3888 5184 6912 7776 10368 15552 20736 31104 62208 228052691 456105382 684158073 912210764 1368316146 1824421528 2052474219 2736632292 3648843056 4104948438 5473264584 6157422657 7297686112 8209896876 10946529168 12314845314 14595372224 16419793752 18472267971 21893058336 24629690628 29190744448 32839587504 36944535942 43786116672 49259381256 55416803913 58381488896 65679175008 73889071884 87572233344 98518762512 110833607826 131358350016 147778143768 175144466688 197037525024 221667215652 262716700032 295556287536 394075050048 443334431304 525433400064 591112575072 788150100096 886668862608 1182225150144 1576300200192 1773337725216 2364450300288 3546675450432 4728900600576 7093350900864 14186701801728