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324312422300440 = 235719321751275911
BaseRepresentation
bin100100110111101011101111…
…0101110100011101100011000
31120112021222001022210001211121
41021233113132232203230120
5320002013320102103230
63105431023042335024
7125211541104326020
oct11157273656435430
91515258038701747
10324312422300440
1194377142643622
1230459b0605a474
1310bc66b7ac64c2
145a12b3ac80a80
15277619c6ea77a
hex126f5deba3b18

324312422300440 has 128 divisors (see below), whose sum is σ = 838308771256320. Its totient is φ = 110611215360000.

The previous prime is 324312422300411. The next prime is 324312422300453. The reversal of 324312422300440 is 44003224213423.

It is a junction number, because it is equal to n+sod(n) for n = 324312422300396 and 324312422300405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1175286085 + ... + 1175561995.

It is an arithmetic number, because the mean of its divisors is an integer number (6549287275440).

Almost surely, 2324312422300440 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 324312422300440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419154385628160).

324312422300440 is an abundant number, since it is smaller than the sum of its proper divisors (513996348955880).

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

324312422300440 is a wasteful number, since it uses less digits than its factorization.

324312422300440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297873 (or 297869 counting only the distinct ones).

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

Adding to 324312422300440 its reverse (44003224213423), we get a palindrome (368315646513863).

The spelling of 324312422300440 in words is "three hundred twenty-four trillion, three hundred twelve billion, four hundred twenty-two million, three hundred thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 193 280 386 772 965 1351 1544 1930 2702 3860 5404 6755 7720 10808 13510 21751 27020 43502 54040 87004 108755 152257 174008 217510 275911 304514 435020 551822 609028 761285 870040 1103644 1218056 1379555 1522570 1931377 2207288 2759110 3045140 3862754 4197943 5518220 6090280 7725508 8395886 9656885 11036440 15451016 16791772 19313770 20989715 29385601 33583544 38627540 41979430 53250823 58771202 77255080 83958860 106501646 117542404 146928005 167917720 213003292 235084808 266254115 293856010 372755761 426006584 532508230 587712020 745511522 1065016460 1175424040 1491023044 1863778805 2130032920 2982046088 3727557610 6001340161 7455115220 12002680322 14910230440 24005360644 30006700805 42009381127 48010721288 60013401610 84018762254 120026803220 168037524508 210046905635 240053606440 336075049016 420093811270 840187622540 1158258651073 1680375245080 2316517302146 4633034604292 5791293255365 8107810557511 9266069208584 11582586510730 16215621115022 23165173021460 32431242230044 40539052787555 46330346042920 64862484460088 81078105575110 162156211150220 324312422300440