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243344144032 = 25111953686513
BaseRepresentation
bin1110001010100001110…
…0001111011010100000
3212021010001221100012021
43202220130033122200
512441332100102112
6303442445311224
723403203044603
oct3425034173240
9767101840167
10243344144032
1194224475140
123b1b3565514
1319c4116b892
14bac687a33a
1564e382d907
hex38a870f6a0

243344144032 has 96 divisors (see below), whose sum is σ = 560524950720. Its totient is φ = 102812037120.

The previous prime is 243344144027. The next prime is 243344144053. The reversal of 243344144032 is 230441443342.

It is a super-2 number, since 2×2433441440322 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 11208 + ... + 697720.

It is an arithmetic number, because the mean of its divisors is an integer number (5838801570).

Almost surely, 2243344144032 is an apocalyptic number.

243344144032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243344144032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280262475360).

243344144032 is an abundant number, since it is smaller than the sum of its proper divisors (317180806688).

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

243344144032 is a wasteful number, since it uses less digits than its factorization.

243344144032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686606 (or 686598 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 243344144032 its reverse (230441443342), we get a palindrome (473785587374).

The spelling of 243344144032 in words is "two hundred forty-three billion, three hundred forty-four million, one hundred forty-four thousand, thirty-two".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 53 76 88 106 152 176 209 212 304 352 418 424 583 608 836 848 1007 1166 1672 1696 2014 2332 3344 4028 4664 6688 8056 9328 11077 16112 18656 22154 32224 44308 88616 177232 354464 686513 1373026 2746052 5492104 7551643 10984208 13043747 15103286 21968416 26087494 30206572 36385189 52174988 60413144 72770378 104349976 120826288 143481217 145540756 208699952 241652576 286962434 291081512 400237079 417399904 573924868 582163024 691318591 800474158 1147849736 1164326048 1382637182 1600948316 2295699472 2765274364 3201896632 4591398944 5530548728 6403793264 7604504501 11061097456 12807586528 15209009002 22122194912 30418018004 60836036008 121672072016 243344144032