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44233002121242 = 2311557180167
BaseRepresentation
bin10100000111010110011000…
…11000001111100000011010
312210121122002222012212020210
422003223030120033200122
521244203142020334432
6234024205522231550
712213505012311564
oct1203531430174032
9183548088185223
1044233002121242
1113104124600000
124b6479aab55b6
131b8b200a2234c
14accc62940334
1551a9065d78cc
hex283acc60f81a

44233002121242 has 96 divisors (see below), whose sum is σ = 97484190515712. Its totient is φ = 13380298628400.

The previous prime is 44233002121219. The next prime is 44233002121247. The reversal of 44233002121242 is 24212120033244.

It is a super-3 number, since 3×442330021212423 (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (44233002121247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 551720643 + ... + 551800809.

It is an arithmetic number, because the mean of its divisors is an integer number (1015460317872).

Almost surely, 244233002121242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44233002121242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48742095257856).

44233002121242 is an abundant number, since it is smaller than the sum of its proper divisors (53251188394470).

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

44233002121242 is an frugal number, since it uses more digits than its factorization.

44233002121242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80798 (or 80754 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 44233002121242 its reverse (24212120033244), we get a palindrome (68445122154486).

The spelling of 44233002121242 in words is "forty-four trillion, two hundred thirty-three billion, two million, one hundred twenty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 571 726 1142 1331 1713 2662 3426 3993 6281 7986 12562 14641 18843 29282 37686 43923 69091 80167 87846 138182 160334 161051 207273 240501 322102 414546 481002 483153 760001 881837 966306 1520002 1763674 2280003 2645511 4560006 5291022 8360011 9700207 16720022 19400414 25080033 29100621 45775357 50160066 58201242 91550714 91960121 106702277 137326071 183920242 213404554 274652142 275880363 320106831 503528927 551760726 640213662 1007057854 1173725047 1510586781 2347450094 3021173562 3521175141 5538818197 7042350282 11077636394 12910975517 16616454591 25821951034 33232909182 38732926551 60927000167 77465853102 121854000334 182781000501 365562001002 670197001837 1340394003674 2010591005511 4021182011022 7372167020207 14744334040414 22116501060621 44233002121242