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335612821041 = 3459210912
BaseRepresentation
bin1001110001001000001…
…01010011111000110001
31012002021102201210010000
410320210011103320301
520444313340233131
6414102311300213
733150540624051
oct4704405237061
91162242653100
10335612821041
1111a372762903
125506407a669
1325856cb9a94
141235abb1561
158ae3e40ce6
hex4e24153e31

335612821041 has 45 divisors (see below), whose sum is σ = 510456866953. Its totient is φ = 219748041720.

The previous prime is 335612821039. The next prime is 335612821069. The reversal of 335612821041 is 140128216533.

The square root of 335612821041 is 579321.

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

335612821041 is a `hidden beast` number, since 3 + 3 + 561 + 2 + 82 + 10 + 4 + 1 = 666.

It is not a de Polignac number, because 335612821041 - 21 = 335612821039 is a prime.

It is a super-2 number, since 2×3356128210412 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 335612820987 and 335612821005.

It is not an unprimeable number, because it can be changed into a prime (335612820041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 307618906 + ... + 307619996.

Almost surely, 2335612821041 is an apocalyptic number.

335612821041 is the 579321-st square number.

335612821041 is the 289661-st centered octagonal number.

It is an amenable number.

335612821041 is a deficient number, since it is larger than the sum of its proper divisors (174844045912).

335612821041 is an frugal number, since it uses more digits than its factorization.

335612821041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2312 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Multiplying 335612821041 by its sum of digits (36), we get a square (12082061557476 = 34759262).

The spelling of 335612821041 in words is "three hundred thirty-five billion, six hundred twelve million, eight hundred twenty-one thousand, forty-one".

Divisors: 1 3 9 27 59 81 177 531 1091 1593 3273 3481 4779 9819 10443 29457 31329 64369 88371 93987 193107 281961 579321 1190281 1737963 3570843 3797771 5213889 10712529 11393313 32137587 34179939 70226579 96412761 102539817 210679737 307619451 632039211 1896117633 4143368161 5688352899 12430104483 37290313449 111870940347 335612821041