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321244124240340 = 22335784985218053
BaseRepresentation
bin100100100001010110111100…
…1111010010101100111010100
31120010102122020100122212011000
41021002231321322111213110
5314101230431301142330
63055121302514343300
7124444056604204110
oct11102557172254724
91503378210585130
10321244124240340
11933a3960353484
123004331b28ab30
1310a332636274b2
145948427400740
15272146bece560
hex1242b79e959d4

321244124240340 has 96 divisors (see below), whose sum is σ = 1142201330645760. Its totient is φ = 73427228396928.

The previous prime is 321244124240339. The next prime is 321244124240357. The reversal of 321244124240340 is 43042421442123.

321244124240340 is a `hidden beast` number, since 3 + 2 + 1 + 2 + 4 + 4 + 1 + 242 + 403 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 321244124240295 and 321244124240304.

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, 42492605247 + ... + 42492612806.

It is an arithmetic number, because the mean of its divisors is an integer number (11897930527560).

Almost surely, 2321244124240340 is an apocalyptic number.

321244124240340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

321244124240340 is an abundant number, since it is smaller than the sum of its proper divisors (820957206405420).

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

321244124240340 is a wasteful number, since it uses less digits than its factorization.

321244124240340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84985218078 (or 84985218070 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 321244124240340 its reverse (43042421442123), we get a palindrome (364286545682463).

The spelling of 321244124240340 in words is "three hundred twenty-one trillion, two hundred forty-four billion, one hundred twenty-four million, two hundred forty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 84985218053 169970436106 254955654159 339940872212 424926090265 509911308318 594896526371 764866962477 849852180530 1019822616636 1189793052742 1274778270795 1529733924954 1699704361060 1784689579113 2294600887431 2379586105484 2549556541590 2974482631855 3059467849908 3569379158226 3824334812385 4589201774862 5099113083180 5354068737339 5948965263710 7138758316452 7648669624770 8923447895565 9178403549724 10708137474678 11473004437155 11897930527420 15297339249540 16062206212017 17846895791130 21416274949356 22946008874310 26770343686695 32124412424034 35693791582260 45892017748620 53540687373390 64248824848068 80311031060085 107081374746780 160622062120170 321244124240340