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20414073336309 = 322923078785223
BaseRepresentation
bin1001010010001000001011…
…00101101111000111110101
32200021120021212111102201200
410221010011211233013311
510133431010233230214
6111230032410443113
74204603524221622
oct451040545570765
980246255442650
1020414073336309
116560618228294
122358473a33499
13b5106749a1c3
14508091547349
1525603c04bd09
hex12910596f1f5

20414073336309 has 36 divisors (see below), whose sum is σ = 30638328136416. Its totient is φ = 13097290084704.

The previous prime is 20414073336271. The next prime is 20414073336329. The reversal of 20414073336309 is 90363337041402.

It is a happy number.

20414073336309 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 4 + 0 + 7 + 3 + 3 + 3 + 630 + 9 = 666.

It is not a de Polignac number, because 20414073336309 - 28 = 20414073336053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20414073336329) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2068929 + ... + 6716294.

It is an arithmetic number, because the mean of its divisors is an integer number (851064670456).

Almost surely, 220414073336309 is an apocalyptic number.

20414073336309 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

20414073336309 is a deficient number, since it is larger than the sum of its proper divisors (10224254800107).

20414073336309 is a wasteful number, since it uses less digits than its factorization.

20414073336309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8785594 (or 8785562 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 45.

The spelling of 20414073336309 in words is "twenty trillion, four hundred fourteen billion, seventy-three million, three hundred thirty-six thousand, three hundred nine".

Divisors: 1 3 9 29 87 261 307 841 921 2523 2763 7569 8903 26709 80127 258187 774561 2323683 8785223 26355669 79067007 254771467 764314401 2292943203 2697063461 7388372543 8091190383 22165117629 24273571149 66495352887 78214840369 234644521107 703933563321 2268230370701 6804691112103 20414073336309