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144879958161 = 3271217872
BaseRepresentation
bin1000011011101110000…
…1001011100010010001
3111211221221012102212100
42012323201023202101
54333203232130121
6150320144151013
713316155216401
oct2067341134221
9454857172770
10144879958161
1156496a60a14
12240b4008469
131087b8b08c3
1470257a2801
153b7e365026
hex21bb84b891

144879958161 has 27 divisors (see below), whose sum is σ = 212378890633. Its totient is φ = 95172975240.

The previous prime is 144879958133. The next prime is 144879958163. The reversal of 144879958161 is 161859978441.

The square root of 144879958161 is 380631.

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

144879958161 is a `hidden beast` number, since 1 + 4 + 48 + 7 + 9 + 9 + 581 + 6 + 1 = 666.

It is not a de Polignac number, because 144879958161 - 25 = 144879958129 is a prime.

It is a super-2 number, since 2×1448799581612 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (144879958163) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 81073510 + ... + 81075296.

Almost surely, 2144879958161 is an apocalyptic number.

144879958161 is the 380631-st square number.

144879958161 is the 190316-th centered octagonal number.

It is an amenable number.

144879958161 is a deficient number, since it is larger than the sum of its proper divisors (67498932472).

144879958161 is an frugal number, since it uses more digits than its factorization.

144879958161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3722 (or 1861 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 63.

The spelling of 144879958161 in words is "one hundred forty-four billion, eight hundred seventy-nine million, nine hundred fifty-eight thousand, one hundred sixty-one".

Divisors: 1 3 9 71 213 639 1787 5041 5361 15123 16083 45369 126877 380631 1141893 3193369 9008267 9580107 27024801 28740321 81074403 226729199 680187597 2040562791 16097773129 48293319387 144879958161