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244312333020 = 223257227699811
BaseRepresentation
bin1110001110001000100…
…1100101101011011100
3212100121112202102210200
43203202021211223130
513000322424124040
6304122513103500
723436200365200
oct3434211455334
9770545672720
10244312333020
1194680a40928
123b423857b90
131a06691b682
14bb792a6b00
15654d829630
hex38e2265adc

244312333020 has 108 divisors (see below), whose sum is σ = 862073549064. Its totient is φ = 55842816960.

The previous prime is 244312332997. The next prime is 244312333021. The reversal of 244312333020 is 20333213442.

244312333020 is a `hidden beast` number, since 2 + 44 + 312 + 3 + 3 + 302 + 0 = 666.

244312333020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244312333021) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 13841086 + ... + 13858725.

Almost surely, 2244312333020 is an apocalyptic number.

244312333020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244312333020 is an abundant number, since it is smaller than the sum of its proper divisors (617761216044).

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

244312333020 is a wasteful number, since it uses less digits than its factorization.

244312333020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27699840 (or 27699828 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 244312333020 its reverse (20333213442), we get a palindrome (264645546462).

The spelling of 244312333020 in words is "two hundred forty-four billion, three hundred twelve million, three hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 8820 27699811 55399622 83099433 110799244 138499055 166198866 193898677 249298299 276998110 332397732 387797354 415497165 498596598 553996220 581696031 775594708 830994330 969493385 997193196 1163392062 1246491495 1357290739 1661988660 1745088093 1938986770 2326784124 2492982990 2714581478 2908480155 3490176186 3877973540 4071872217 4985965980 5429162956 5816960310 6786453695 6980352372 8143744434 8725440465 11633920620 12215616651 13572907390 16287488868 17450880930 20359361085 24431233302 27145814780 34901761860 40718722170 48862466604 61078083255 81437444340 122156166510 244312333020