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321430404100240 = 24523891962813899
BaseRepresentation
bin100100100010101101101100…
…1000011100111000010010000
31120011002110001112002012200101
41021011123121003213002100
5314112303431422201430
63055343031130302144
7124463403025660501
oct11105333103470220
91504073045065611
10321430404100240
1193465961494316
1230073447b87954
1310a479ac303476
145953459258ba8
152726220ba1dca
hex12456d90e7090

321430404100240 has 80 divisors (see below), whose sum is σ = 788580112464000. Its totient is φ = 121600246608896.

The previous prime is 321430404100213. The next prime is 321430404100261. The reversal of 321430404100240 is 42001404034123.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-5 number, since 5×3214304041002405 (a number of 74 digits) contains 55555 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 321430404100199 and 321430404100208.

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, 981243190 + ... + 981570709.

It is an arithmetic number, because the mean of its divisors is an integer number (9857251405800).

Almost surely, 2321430404100240 is an apocalyptic number.

It is an amenable number.

321430404100240 is an abundant number, since it is smaller than the sum of its proper divisors (467149708363760).

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

321430404100240 is a wasteful number, since it uses less digits than its factorization.

321430404100240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1962814024 (or 1962814018 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 321430404100240 its reverse (42001404034123), we get a palindrome (363431808134363).

The spelling of 321430404100240 in words is "three hundred twenty-one trillion, four hundred thirty billion, four hundred four million, one hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 89 92 115 178 184 230 356 368 445 460 712 890 920 1424 1780 1840 2047 3560 4094 7120 8188 10235 16376 20470 32752 40940 81880 163760 1962813899 3925627798 7851255596 9814069495 15702511192 19628138990 31405022384 39256277980 45144719677 78512555960 90289439354 157025111920 174690437011 180578878708 225723598385 349380874022 361157757416 451447196770 698761748044 722315514832 873452185055 902894393540 1397523496088 1746904370110 1805788787080 2795046992176 3493808740220 3611577574160 4017880051253 6987617480440 8035760102506 13975234960880 16071520205012 20089400256265 32143040410024 40178800512530 64286080820048 80357601025060 160715202050120 321430404100240