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214322311033344 = 2932199233723207
BaseRepresentation
bin110000101110110011001101…
…001101110111001000000000
31001002212000100100121222002100
4300232303031031313020000
5211042424043111031334
62035454151020350400
763100163443401213
oct6056631515671000
91032760310558070
10214322311033344
1162320644230868
12200551243a5400
1392786794554b7
143acd3803bb77a
1519ba036217c99
hexc2eccd377200

214322311033344 has 120 divisors (see below), whose sum is σ = 621656988638400. Its totient is φ = 71081771194368.

The previous prime is 214322311033333. The next prime is 214322311033361. The reversal of 214322311033344 is 443330113223412.

214322311033344 is a `hidden beast` number, since 2 + 1 + 4 + 3 + 2 + 2 + 311 + 0 + 3 + 334 + 4 = 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 = 214322311033299 and 214322311033308.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 115944612 + ... + 117778595.

It is an arithmetic number, because the mean of its divisors is an integer number (5180474905320).

Almost surely, 2214322311033344 is an apocalyptic number.

214322311033344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214322311033344 is an abundant number, since it is smaller than the sum of its proper divisors (407334677605056).

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

214322311033344 is a wasteful number, since it uses less digits than its factorization.

214322311033344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233723430 (or 233723411 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 214322311033344 its reverse (443330113223412), we get a palindrome (657652424256756).

The spelling of 214322311033344 in words is "two hundred fourteen trillion, three hundred twenty-two billion, three hundred eleven million, thirty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 199 256 288 384 398 512 576 597 768 796 1152 1194 1536 1592 1791 2304 2388 3184 3582 4608 4776 6368 7164 9552 12736 14328 19104 25472 28656 38208 50944 57312 76416 101888 114624 152832 229248 305664 458496 916992 233723207 467446414 701169621 934892828 1402339242 1869785656 2103508863 2804678484 3739571312 4207017726 5609356968 7479142624 8414035452 11218713936 14958285248 16828070904 22437427872 29916570496 33656141808 44874855744 46510918193 59833140992 67312283616 89749711488 93021836386 119666281984 134624567232 139532754579 179499422976 186043672772 269249134464 279065509158 358998845952 372087345544 418598263737 538498268928 558131018316 744174691088 837196527474 1076996537856 1116262036632 1488349382176 1674393054948 2232524073264 2976698764352 3348786109896 4465048146528 5953397528704 6697572219792 8930096293056 11906795057408 13395144439584 17860192586112 23813590114816 26790288879168 35720385172224 53580577758336 71440770344448 107161155516672 214322311033344