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323440402204144 = 241931683318115797
BaseRepresentation
bin100100110001010101101011…
…0010001111000010111110000
31120102012121012202010100211001
41021202223112101320113300
5314343221420431013034
63103522245225331344
7125061540453652531
oct11142532621702760
91512177182110731
10323440402204144
1194070338a74595
1230338b00336b54
1310b623b703cc44
1459c28558d6688
15275d6617b5a14
hex1262ad64785f0

323440402204144 has 160 divisors (see below), whose sum is σ = 682181683292160. Its totient is φ = 147993406387200.

The previous prime is 323440402204121. The next prime is 323440402204159. The reversal of 323440402204144 is 441402204044323.

It is a super-2 number, since 2×3234404022041442 (a number of 30 digits) contains 22 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 (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20474791254 + ... + 20474807050.

It is an arithmetic number, because the mean of its divisors is an integer number (4263635520576).

Almost surely, 2323440402204144 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 323440402204144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341090841646080).

323440402204144 is an abundant number, since it is smaller than the sum of its proper divisors (358741281088016).

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

323440402204144 is a wasteful number, since it uses less digits than its factorization.

323440402204144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19719 (or 19713 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 37.

Adding to 323440402204144 its reverse (441402204044323), we get a palindrome (764842606248467).

The spelling of 323440402204144 in words is "three hundred twenty-three trillion, four hundred forty billion, four hundred two million, two hundred four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 31 38 62 76 124 152 248 304 496 589 683 1178 1366 2356 2732 3181 4712 5464 6362 9424 10928 12724 12977 15797 21173 25448 25954 31594 42346 50896 51908 60439 63188 84692 98611 103816 120878 126376 169384 197222 207632 241756 252752 300143 338768 394444 402287 483512 489707 600286 788888 804574 967024 979414 1200572 1577776 1609148 1873609 1958828 2172623 2401144 3218296 3747218 3917656 4345246 4802288 6436592 7494436 7835312 8690492 9304433 10789351 14988872 17380984 18608866 21578702 29977744 34761968 37217732 41279837 43157404 50250257 67351313 74435464 82559674 86314808 100500514 134702626 148870928 165119348 172629616 201001028 204997669 269405252 330238696 334469881 402002056 409995338 538810504 660477392 668939762 804004112 819990676 954754883 1077621008 1279674947 1337879524 1557757967 1639981352 1909509766 2559349894 2675759048 3115515934 3279962704 3819019532 5118699788 5351518096 6231031868 6354927739 7638039064 10237399576 12462063736 12709855478 15276078128 20474799152 24924127472 25419710956 29597401373 34320925531 50839421912 59194802746 68641851062 101678843824 118389605492 137283702124 236779210984 274567404248 473558421968 549134808496 652097585089 1063948691461 1304195170178 2127897382922 2608390340356 4255794765844 5216780680712 8511589531688 10433561361424 17023179063376 20215025137759 40430050275518 80860100551036 161720201102072 323440402204144