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309240278982441 = 325772101592
BaseRepresentation
bin100011001010000001001110…
…0111110101001111100101001
31111112221002012202001102011100
41012110002130332221330221
5311013043042404414231
63013411004543152013
7122064605252055132
oct10624023476517451
91445832182042140
10309240278982441
118a59607a676494
122a824a078a5609
13103723053b56a1
145651448c6cc89
1525b40b17031e6
hex119409cfa9f29

309240278982441 has 27 divisors (see below), whose sum is σ = 447499937060631. Its totient is φ = 205782631121664.

The previous prime is 309240278982433. The next prime is 309240278982491. The reversal of 309240278982441 is 144289872042903.

It is a happy number.

The square root of 309240278982441 is 17585229.

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

309240278982441 is a `hidden beast` number, since 3 + 0 + 9 + 2 + 40 + 2 + 78 + 9 + 82 + 441 = 666.

It can be written as a sum of positive squares in only one way, i.e., 307100214275625 + 2140064706816 = 17524275^2 + 1462896^2 .

It is not a de Polignac number, because 309240278982441 - 23 = 309240278982433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (309240278982491) 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, 30440026320 + ... + 30440036478.

Almost surely, 2309240278982441 is an apocalyptic number.

309240278982441 is the 17585229-th square number.

309240278982441 is the 8792615-th centered octagonal number.

It is an amenable number.

309240278982441 is a deficient number, since it is larger than the sum of its proper divisors (138259658078190).

309240278982441 is an frugal number, since it uses more digits than its factorization.

309240278982441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21478 (or 10739 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 309240278982441 in words is "three hundred nine trillion, two hundred forty billion, two hundred seventy-eight million, nine hundred eighty-two thousand, four hundred forty-one".

Divisors: 1 3 9 577 1731 5193 10159 30477 91431 332929 998787 2996361 5861743 17585229 52755687 103205281 309615843 928847529 3382225711 10146677133 30440031399 59549447137 178648341411 535945024233 34360030998049 103080092994147 309240278982441