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4404131204445 = 335723369199429
BaseRepresentation
bin100000000010110101010…
…1011010000110101011101
3120121000211110212000001000
41000011222223100311131
51034124130042020240
613211121400140513
7633121322366010
oct100055253206535
916530743760030
104404131204445
111448866282015
125b1672767739
1325c4002a623b
1411323804b377
15798653e4430
hex4016aad0d5d

4404131204445 has 64 divisors (see below), whose sum is σ = 8948503872000. Its totient is φ = 2013220873728.

The previous prime is 4404131204411. The next prime is 4404131204471. The reversal of 4404131204445 is 5444021314044.

4404131204445 is a `hidden beast` number, since 4 + 4 + 0 + 4 + 1 + 3 + 1 + 204 + 445 = 666.

It is not a de Polignac number, because 4404131204445 - 28 = 4404131204189 is a prime.

It is a super-3 number, since 3×44041312044453 (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21983991 + ... + 22183419.

It is an arithmetic number, because the mean of its divisors is an integer number (139820373000).

Almost surely, 24404131204445 is an apocalyptic number.

4404131204445 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4404131204445 is an abundant number, since it is smaller than the sum of its proper divisors (4544372667555).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4404131204445 is a wasteful number, since it uses less digits than its factorization.

4404131204445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222819 (or 222813 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 4404131204445 its reverse (5444021314044), we get a palindrome (9848152518489).

The spelling of 4404131204445 in words is "four trillion, four hundred four billion, one hundred thirty-one million, two hundred four thousand, four hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 23369 70107 116845 163583 199429 210321 350535 490749 598287 630963 817915 997145 1051605 1396003 1472247 1794861 2453745 2991435 3154815 4188009 4416741 5384583 6980015 7361235 8974305 12564027 20940045 22083705 26922915 37692081 62820135 188460405 4660456301 13981368903 23302281505 32623194107 41944106709 69906844515 97869582321 125832320127 163115970535 209720533545 293608746963 489347911605 629161600635 880826240889 1468043734815 4404131204445