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243324444032 = 2761113275783
BaseRepresentation
bin1110001010011101000…
…1000101110110000000
3212021001200212110212122
43202213101011312000
512441312024202112
6303440503143412
723402543435315
oct3424721056600
9767050773778
10243324444032
119421433a24a
123b1a8a44b68
1319c3a061b87
14bac3dccd0c
1564e1c3b872
hex38a7445d80

243324444032 has 64 divisors (see below), whose sum is σ = 497056534560. Its totient is φ = 118608322560.

The previous prime is 243324443969. The next prime is 243324444061. The reversal of 243324444032 is 230444423342.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 243324443983 and 243324444001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 744413 + ... + 1020195.

Almost surely, 2243324444032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243324444032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248528267280).

243324444032 is an abundant number, since it is smaller than the sum of its proper divisors (253732090528).

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

243324444032 is a wasteful number, since it uses less digits than its factorization.

243324444032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275971 (or 275959 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 35.

Adding to 243324444032 its reverse (230444423342), we get a palindrome (473768867374).

The spelling of 243324444032 in words is "two hundred forty-three billion, three hundred twenty-four million, four hundred forty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 32 61 64 113 122 128 226 244 452 488 904 976 1808 1952 3616 3904 6893 7232 7808 13786 14464 27572 55144 110288 220576 275783 441152 551566 882304 1103132 2206264 4412528 8825056 16822763 17650112 31163479 33645526 35300224 62326958 67291052 124653916 134582104 249307832 269164208 498615664 538328416 997231328 1076656832 1900972219 1994462656 2153313664 3801944438 3988925312 7603888876 15207777752 30415555504 60831111008 121662222016 243324444032