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14520702844816 = 24721360932
BaseRepresentation
bin1101001101001101110101…
…0101011011111110010000
31220102011110202012011002021
43103103131111123332100
53400401344412013231
650514415132101224
73026041360454200
oct323233525337620
956364422164067
1014520702844816
114699217224893
121766262004814
138143b127384c
14382b3d052400
151a2ab4332811
hexd34dd55bf90

14520702844816 has 45 divisors (see below), whose sum is σ = 32727385792881. Its totient is φ = 6223112634816.

The previous prime is 14520702844811. The next prime is 14520702844883. The reversal of 14520702844816 is 61844820702541.

The square root of 14520702844816 is 3810604.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3431163475600 + 11089539369216 = 1852340^2 + 3330096^2 .

It is a super-2 number, since 2×145207028448162 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14520702844811) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 106628866 + ... + 106764958.

Almost surely, 214520702844816 is an apocalyptic number.

14520702844816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14520702844816 is the 3810604-th square number.

It is an amenable number.

14520702844816 is an abundant number, since it is smaller than the sum of its proper divisors (18206682948065).

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

14520702844816 is an frugal number, since it uses more digits than its factorization.

14520702844816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272208 (or 136102 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 52.

The spelling of 14520702844816 in words is "fourteen trillion, five hundred twenty billion, seven hundred two million, eight hundred forty-four thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 136093 272186 544372 952651 1088744 1905302 2177488 3810604 6668557 7621208 13337114 15242416 26674228 53348456 106696912 18521304649 37042609298 74085218596 129649132543 148170437192 259298265086 296340874384 518596530172 907543927801 1037193060344 1815087855602 2074386120688 3630175711204 7260351422408 14520702844816