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120351404889 = 3219725872
BaseRepresentation
bin111000000010110000…
…0001011001101011001
3102111122111101211101100
41300011200023031121
53432434424424024
6131142204142013
711460264030312
oct1600540131531
9374574354340
10120351404889
114704a259891
121b3a9537909
13b46cc42b61
145b79c9b609
1531e5c6a7c9
hex1c0580b359

120351404889 has 27 divisors (see below), whose sum is σ = 175026008287. Its totient is φ = 79690997904.

The previous prime is 120351404867. The next prime is 120351404933. The reversal of 120351404889 is 988404153021.

The square root of 120351404889 is 346917.

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

120351404889 is a `hidden beast` number, since 1 + 20 + 3 + 5 + 140 + 488 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 117920126025 + 2431278864 = 343395^2 + 49308^2 .

It is not a de Polignac number, because 120351404889 - 223 = 120343016281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120351404989) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 205027654 + ... + 205028240.

Almost surely, 2120351404889 is an apocalyptic number.

120351404889 is the 346917-th square number.

120351404889 is the 173459-th centered octagonal number.

It is an amenable number.

120351404889 is a deficient number, since it is larger than the sum of its proper divisors (54674603398).

120351404889 is an frugal number, since it uses more digits than its factorization.

120351404889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1574 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 120351404889 in words is "one hundred twenty billion, three hundred fifty-one million, four hundred four thousand, eight hundred eighty-nine".

Divisors: 1 3 9 197 587 591 1761 1773 5283 38809 115639 116427 344569 346917 349281 1033707 1040751 3101121 22780883 67880093 68342649 203640279 205027947 610920837 13372378321 40117134963 120351404889