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120379159849 = 13420532
BaseRepresentation
bin111000000011100101…
…0000011010100101001
3102111201102121221000211
41300013022003110221
53433014031103344
6131145035101121
711461051655464
oct1600712032451
9374642557024
10120379159849
1147063996573
121b3b68a17a1
13b475910000
145b7d8442db
1531e83ee334
hex1c07283529

120379159849 has 15 divisors (see below), whose sum is σ = 130473958083. Its totient is φ = 111065099184.

The previous prime is 120379159843. The next prime is 120379159853. The reversal of 120379159849 is 948951973021.

The square root of 120379159849 is 346957.

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

It can be written as a sum of positive squares in 7 ways, for example, as 120329203225 + 49956624 = 346885^2 + 7068^2 .

It is not a de Polignac number, because 120379159849 - 23 = 120379159841 is a prime.

It is a super-3 number, since 3×1203791598493 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120379159793 and 120379159802.

It is not an unprimeable number, because it can be changed into a prime (120379159841) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 58634707 + ... + 58636759.

Almost surely, 2120379159849 is an apocalyptic number.

120379159849 is the 346957-th square number.

120379159849 is the 173479-th centered octagonal number.

It is an amenable number.

120379159849 is a deficient number, since it is larger than the sum of its proper divisors (10094798234).

120379159849 is an frugal number, since it uses more digits than its factorization.

120379159849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4158 (or 2066 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 58.

The spelling of 120379159849 in words is "one hundred twenty billion, three hundred seventy-nine million, one hundred fifty-nine thousand, eight hundred forty-nine".

Divisors: 1 13 169 2053 2197 26689 28561 346957 4214809 4510441 54792517 58635733 712302721 9259935373 120379159849