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480121224121344 = 21031312022266229
BaseRepresentation
bin110110100101010101110111…
…1000000110100110000000000
32022221222010210121200120001210
41231022223233000310300000
51000412301231333340334
64421044351225130120
7203062420341066201
oct15512535700646000
92287863717616053
10480121224121344
11129a882a4311393
1245a22862629940
13177b9311085a90
14867bdc3d535a8
153a790c52205e9
hex1b4aaef034c00

480121224121344 has 88 divisors (see below), whose sum is σ = 1378136422477360. Its totient is φ = 147729607409664.

The previous prime is 480121224121289. The next prime is 480121224121351. The reversal of 480121224121344 is 443121422121084.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6011093179 + ... + 6011173050.

Almost surely, 2480121224121344 is an apocalyptic number.

It is an amenable number.

480121224121344 is an abundant number, since it is smaller than the sum of its proper divisors (898015198356016).

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

480121224121344 is a wasteful number, since it uses less digits than its factorization.

480121224121344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12022266265 (or 12022266247 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

The spelling of 480121224121344 in words is "four hundred eighty trillion, one hundred twenty-one billion, two hundred twenty-four million, one hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1024 1248 1536 1664 2496 3072 3328 4992 6656 9984 13312 19968 39936 12022266229 24044532458 36066798687 48089064916 72133597374 96178129832 144267194748 156289460977 192356259664 288534389496 312578921954 384712519328 468868382931 577068778992 625157843908 769425038656 937736765862 1154137557984 1250315687816 1538850077312 1875473531724 2308275115968 2500631375632 3077700154624 3750947063448 4616550231936 5001262751264 6155400309248 7501894126896 9233100463872 10002525502528 12310800618496 15003788253792 18466200927744 20005051005056 30007576507584 36932401855488 40010102010112 60015153015168 80020204020224 120030306030336 160040408040448 240060612060672 480121224121344