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300443621420241 = 3613114649276517
BaseRepresentation
bin100010001010000000111101…
…1010101000110110011010001
31110101210010111112220201000000
41010110001323111012303101
5303334432014040421431
62542553521054520213
7120166223006356305
oct10424017325066321
91411703445821000
10300443621420241
1187804473819552
1229843ba0b06069
13cb84934165510
14542979812dd05
1524b0364b329e6
hex111407b546cd1

300443621420241 has 56 divisors (see below), whose sum is σ = 485116072687400. Its totient is φ = 184886101138176.

The previous prime is 300443621420233. The next prime is 300443621420291. The reversal of 300443621420241 is 142024126344003.

300443621420241 is a `hidden beast` number, since 3 + 0 + 0 + 4 + 4 + 3 + 621 + 4 + 2 + 0 + 24 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24233182043841 + 276210439376400 = 4922721^2 + 16619580^2 .

It is not a de Polignac number, because 300443621420241 - 23 = 300443621420233 is a prime.

It is a super-3 number, since 3×3004436214202413 (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 300443621420196 and 300443621420205.

It is not an unprimeable number, because it can be changed into a prime (300443621420231) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1086390315 + ... + 1086666831.

It is an arithmetic number, because the mean of its divisors is an integer number (8662787012275).

Almost surely, 2300443621420241 is an apocalyptic number.

It is an amenable number.

300443621420241 is a deficient number, since it is larger than the sum of its proper divisors (184672451267159).

300443621420241 is a wasteful number, since it uses less digits than its factorization.

300443621420241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391197 (or 391182 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 300443621420241 its reverse (142024126344003), we get a palindrome (442467747764244).

The spelling of 300443621420241 in words is "three hundred trillion, four hundred forty-three billion, six hundred twenty-one million, four hundred twenty thousand, two hundred forty-one".

Divisors: 1 3 9 13 27 39 81 117 243 351 729 1053 3159 9477 114649 276517 343947 829551 1031841 1490437 2488653 3095523 3594721 4471311 7465959 9286569 10784163 13413933 22397877 27859707 32352489 40241799 67193631 83579121 97057467 120725397 201580893 291172401 362176191 873517203 1086528573 2620551609 31702397533 95107192599 285321577797 412131167929 855964733391 1236393503787 2567894200173 3709180511361 7703682600519 11127541534083 23111047801557 33382624602249 100147873806747 300443621420241