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54342323221000 = 2353473892972287
BaseRepresentation
bin11000101101100100011101…
…10111110011001000001000
321010102002000221101101101211
430112302032313303020020
524110321034221033000
6311324304010022504
714306050266664513
oct1426621667631010
9233362027341354
1054342323221000
11163514a4836351
126117aa6117a34
1324425c7815239
14d5c27aa0bd7a
1564387dc1c7ba
hex316c8edf3208

54342323221000 has 128 divisors (see below), whose sum is σ = 130200481382400. Its totient is φ = 21219744211200.

The previous prime is 54342323220979. The next prime is 54342323221001. The reversal of 54342323221000 is 12232324345.

It is not an unprimeable number, because it can be changed into a prime (54342323221001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16796857 + ... + 19769143.

It is an arithmetic number, because the mean of its divisors is an integer number (1017191260800).

Almost surely, 254342323221000 is an apocalyptic number.

54342323221000 is a gapful number since it is divisible by the number (50) 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 54342323221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65100240691200).

54342323221000 is an abundant number, since it is smaller than the sum of its proper divisors (75858158161400).

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

54342323221000 is a wasteful number, since it uses less digits than its factorization.

54342323221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2972744 (or 2972730 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 31.

Adding to 54342323221000 its reverse (12232324345), we get a palindrome (54354555545345).

The spelling of 54342323221000 in words is "fifty-four trillion, three hundred forty-two billion, three hundred twenty-three million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 125 188 200 235 250 376 389 470 500 778 940 1000 1175 1556 1880 1945 2350 3112 3890 4700 5875 7780 9400 9725 11750 15560 18283 19450 23500 36566 38900 47000 48625 73132 77800 91415 97250 146264 182830 194500 365660 389000 457075 731320 914150 1828300 2285375 2972287 3656600 4570750 5944574 9141500 11889148 14861435 18283000 23778296 29722870 59445740 74307175 118891480 139697489 148614350 279394978 297228700 371535875 558789956 594457400 698487445 743071750 1117579912 1156219643 1396974890 1486143500 2312439286 2793949780 2972287000 3492437225 4624878572 5587899560 5781098215 6984874450 9249757144 11562196430 13969748900 17462186125 23124392860 27939497800 28905491075 34924372250 46248785720 54342323221 57810982150 69848744500 108684646442 115621964300 139697489000 144527455375 217369292884 231243928600 271711616105 289054910750 434738585768 543423232210 578109821500 1086846464420 1156219643000 1358558080525 2173692928840 2717116161050 5434232322100 6792790402625 10868464644200 13585580805250 27171161610500 54342323221000