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420144779313 = 32761711539821
BaseRepresentation
bin1100001110100101001…
…01001001000000110001
31111011110121112012010100
412013102211021000301
523340424030414223
6521002320423013
742232402462020
oct6072245110061
91434417465110
10420144779313
11152200858246
1269515777a69
13308090077bc
14164997b48b7
15ade0212043
hex61d2949031

420144779313 has 48 divisors (see below), whose sum is σ = 714871602432. Its totient is φ = 232820784000.

The previous prime is 420144779309. The next prime is 420144779323. The reversal of 420144779313 is 313977441024.

420144779313 is a `hidden beast` number, since 420 + 144 + 7 + 79 + 3 + 13 = 666.

It is not a de Polignac number, because 420144779313 - 22 = 420144779309 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (420144779323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 497058 + ... + 1042763.

It is an arithmetic number, because the mean of its divisors is an integer number (14893158384).

Almost surely, 2420144779313 is an apocalyptic number.

It is an amenable number.

420144779313 is a deficient number, since it is larger than the sum of its proper divisors (294726823119).

420144779313 is a wasteful number, since it uses less digits than its factorization.

420144779313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539966 (or 1539963 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 420144779313 in words is "four hundred twenty billion, one hundred forty-four million, seven hundred seventy-nine thousand, three hundred thirteen".

Divisors: 1 3 7 9 21 61 63 71 183 213 427 497 549 639 1281 1491 3843 4331 4473 12993 30317 38979 90951 272853 1539821 4619463 10778747 13858389 32336241 93929081 97008723 109327291 281787243 327981873 657503567 765291037 845361729 983945619 1972510701 2295873111 5917532103 6668964751 6887619333 20006894253 46682753257 60020682759 140048259771 420144779313