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331421166480 = 24353537515209
BaseRepresentation
bin1001101001010100011…
…11011010101110010000
31011200110022101200000210
410310222033122232100
520412222304311410
6412130333444120
732641632301605
oct4645217325620
91150408350023
10331421166480
11118611676788
1254294340640
1325339773801
141208020c6ac
15894ae5e220
hex4d2a3dab90

331421166480 has 160 divisors (see below), whose sum is σ = 1031886097920. Its totient is φ = 87994368000.

The previous prime is 331421166469. The next prime is 331421166487. The reversal of 331421166480 is 84661124133.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (331421166487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63622116 + ... + 63627324.

It is an arithmetic number, because the mean of its divisors is an integer number (6449288112).

Almost surely, 2331421166480 is an apocalyptic number.

331421166480 is a gapful number since it is divisible by the number (30) 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 331421166480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515943048960).

331421166480 is an abundant number, since it is smaller than the sum of its proper divisors (700464931440).

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

331421166480 is a wasteful number, since it uses less digits than its factorization.

331421166480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6329 (or 6323 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 331421166480 in words is "three hundred thirty-one billion, four hundred twenty-one million, one hundred sixty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 353 706 751 1059 1412 1502 1765 2118 2253 2824 3004 3530 3755 4236 4506 5209 5295 5648 6008 7060 7510 8472 9012 10418 10590 11265 12016 14120 15020 15627 16944 18024 20836 21180 22530 26045 28240 30040 31254 36048 41672 42360 45060 52090 60080 62508 78135 83344 84720 90120 104180 125016 156270 180240 208360 250032 265103 312540 416720 530206 625080 795309 1060412 1250160 1325515 1590618 1838777 2120824 2651030 3181236 3677554 3911959 3976545 4241648 5302060 5516331 6362472 7355108 7823918 7953090 9193885 10604120 11032662 11735877 12724944 14710216 15647836 15906180 18387770 19559795 21208240 22065324 23471754 27581655 29420432 31295672 31812360 36775540 39119590 44130648 46943508 55163310 58679385 62591344 63624720 73551080 78239180 88261296 93887016 110326620 117358770 147102160 156478360 187774032 220653240 234717540 312956720 441306480 469435080 938870160 1380921527 2761843054 4142764581 5523686108 6904607635 8285529162 11047372216 13809215270 16571058324 20713822905 22094744432 27618430540 33142116648 41427645810 55236861080 66284233296 82855291620 110473722160 165710583240 331421166480