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324420024114112 = 2623435718976257
BaseRepresentation
bin100100111000011101110110…
…0010010111001101111000000
31120112200020210021120120000211
41021300323230102321233000
5320010244202133122422
63105552300202523504
7125222400425545423
oct11160735422715700
91515606707516024
10324420024114112
1194408839aaa863
1230476935806594
1310c038a54c1134
145a180277579ba
152778d98ec9577
hex1270eec4b9bc0

324420024114112 has 112 divisors (see below), whose sum is σ = 688587278176512. Its totient is φ = 151283664322560.

The previous prime is 324420024114103. The next prime is 324420024114127. The reversal of 324420024114112 is 211411420024423.

It is a congruent number.

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, 31653888 + ... + 40630144.

Almost surely, 2324420024114112 is an apocalyptic number.

324420024114112 is a gapful number since it is divisible by the number (32) 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 324420024114112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344293639088256).

324420024114112 is an abundant number, since it is smaller than the sum of its proper divisors (364167254062400).

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

324420024114112 is a wasteful number, since it uses less digits than its factorization.

324420024114112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8976906 (or 8976896 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

Adding to 324420024114112 its reverse (211411420024423), we get a palindrome (535831444138535).

The spelling of 324420024114112 in words is "three hundred twenty-four trillion, four hundred twenty billion, twenty-four million, one hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 32 43 46 64 86 92 172 184 344 368 571 688 736 989 1142 1376 1472 1978 2284 2752 3956 4568 7912 9136 13133 15824 18272 24553 26266 31648 36544 49106 52532 63296 98212 105064 196424 210128 392848 420256 564719 785696 840512 1129438 1571392 2258876 4517752 8976257 9035504 17952514 18071008 35905028 36142016 71810056 143620112 206453911 287240224 385979051 412907822 574480448 771958102 825815644 1543916204 1651631288 3087832408 3303262576 5125442747 6175664816 6606525152 8877518173 10250885494 12351329632 13213050304 17755036346 20501770988 24702659264 35510072692 41003541976 71020145384 82007083952 117885183181 142040290768 164014167904 220394038121 235770366362 284080581536 328028335808 440788076242 471540732724 568161163072 881576152484 943081465448 1763152304968 1886162930896 3526304609936 3772325861792 5069062876783 7052609219872 7544651723584 10138125753566 14105218439744 20276251507132 40552503014264 81105006028528 162210012057056 324420024114112