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270411440121 = 3419230412
BaseRepresentation
bin1111101111010111000…
…1110001111111111001
3221211222102211110010000
43323311301301333321
513412300312040441
6324120355343213
725352022213354
oct3736561617771
9854872743100
10270411440121
11a4754232329
12444a82b1b09
131c665a82304
14d1335d929b
157079c582b6
hex3ef5c71ff9

270411440121 has 45 divisors (see below), whose sum is σ = 426467581023. Its totient is φ = 170730011520.

The previous prime is 270411440053. The next prime is 270411440141. The reversal of 270411440121 is 121044114072.

It is a happy number.

The square root of 270411440121 is 520011.

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., 264750382521 + 5661057600 = 514539^2 + 75240^2 .

It is not a de Polignac number, because 270411440121 - 213 = 270411431929 is a prime.

It is a super-3 number, since 3×2704114401213 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (270411440141) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 88920361 + ... + 88923401.

Almost surely, 2270411440121 is an apocalyptic number.

270411440121 is the 520011-st square number.

270411440121 is the 260006-th centered octagonal number.

It is an amenable number.

270411440121 is a deficient number, since it is larger than the sum of its proper divisors (156056140902).

270411440121 is an frugal number, since it uses more digits than its factorization.

270411440121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6132 (or 3063 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

Adding to 270411440121 its reverse (121044114072), we get a palindrome (391455554193).

The spelling of 270411440121 in words is "two hundred seventy billion, four hundred eleven million, four hundred forty thousand, one hundred twenty-one".

Divisors: 1 3 9 19 27 57 81 171 361 513 1083 1539 3041 3249 9123 9747 27369 29241 57779 82107 173337 246321 520011 1097801 1560033 3293403 4680099 9247681 9880209 27743043 29640627 83229129 88921881 175705939 249687387 527117817 749062161 1581353451 3338412841 4744060353 10015238523 14232181059 30045715569 90137146707 270411440121