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324334031525056 = 2672696833940411
BaseRepresentation
bin100100110111110101110011…
…0101111001101010011000000
31120112101000211022100102021001
41021233223212233031103000
5320002342044032300211
63105444555215141344
7125213234436602620
oct11157534657152300
91515330738312231
10324334031525056
1194385321474943
1230462136b14854
1310bc874c9b6847
145a13bcab7c880
152776a14888ac1
hex126fae6bcd4c0

324334031525056 has 112 divisors (see below), whose sum is σ = 739358732770560. Its totient is φ = 138280776606720.

The previous prime is 324334031525011. The next prime is 324334031525087. The reversal of 324334031525056 is 650525130433423.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 324334031524997 and 324334031525015.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80339491 + ... + 84279901.

It is an arithmetic number, because the mean of its divisors is an integer number (6601417256880).

Almost surely, 2324334031525056 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 324334031525056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369679366385280).

324334031525056 is an abundant number, since it is smaller than the sum of its proper divisors (415024701245504).

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

324334031525056 is a wasteful number, since it uses less digits than its factorization.

324334031525056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3941382 (or 3941372 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 46.

Adding to 324334031525056 its reverse (650525130433423), we get a palindrome (974859161958479).

The spelling of 324334031525056 in words is "three hundred twenty-four trillion, three hundred thirty-four billion, thirty-one million, five hundred twenty-five thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 269 448 538 683 1076 1366 1883 2152 2732 3766 4304 4781 5464 7532 8608 9562 10928 15064 17216 19124 21856 30128 38248 43712 60256 76496 120512 152992 183727 305984 367454 734908 1286089 1469816 2572178 2939632 3940411 5144356 5879264 7880822 10288712 11758528 15761644 20577424 27582877 31523288 41154848 55165754 63046576 82309696 110331508 126093152 220663016 252186304 441326032 882652064 1059970559 1765304128 2119941118 2691300713 4239882236 5382601426 7419793913 8479764472 10765202852 14839587826 16959528944 18839104991 21530405704 29679175652 33919057888 37678209982 43060811408 59358351304 67838115776 75356419964 86121622816 118716702608 150712839928 172243245632 237433405216 301425679856 474866810432 602851359712 723959891797 1205702719424 1447919783594 2895839567188 5067719242579 5791679134376 10135438485158 11583358268752 20270876970316 23166716537504 40541753940632 46333433075008 81083507881264 162167015762528 324334031525056