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241417134431360 = 275438772424943
BaseRepresentation
bin110110111001000101001110…
…100010100101110010000000
31011122210020211012000011102122
4312321011032202211302000
5223120334242403300420
62213241300034503412
7101564545434320636
oct6671051642456200
91148706735004378
10241417134431360
116aa17482722588
12230b0311a34b68
13a4926cc261394
14438891a1bd356
151cd9c312e9725
hexdb914e8a5c80

241417134431360 has 64 divisors (see below), whose sum is σ = 590559647230080. Its totient is φ = 94321112976384.

The previous prime is 241417134431299. The next prime is 241417134431399. The reversal of 241417134431360 is 63134431714142.

It is a tau number, because it is divible by the number of its divisors (64).

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, 4386184952 + ... + 4386239991.

It is an arithmetic number, because the mean of its divisors is an integer number (9227494487970).

Almost surely, 2241417134431360 is an apocalyptic number.

241417134431360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241417134431360 is an abundant number, since it is smaller than the sum of its proper divisors (349142512798720).

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

241417134431360 is an equidigital number, since it uses as much as digits as its factorization.

241417134431360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8772425005 (or 8772424993 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 44.

The spelling of 241417134431360 in words is "two hundred forty-one trillion, four hundred seventeen billion, one hundred thirty-four million, four hundred thirty-one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 128 160 172 215 320 344 430 640 688 860 1376 1720 2752 3440 5504 6880 13760 27520 8772424943 17544849886 35089699772 43862124715 70179399544 87724249430 140358799088 175448498860 280717598176 350896997720 377214272549 561435196352 701793995440 754428545098 1122870392704 1403587990880 1508857090196 1886071362745 2807175981760 3017714180392 3772142725490 5614351963520 6035428360784 7544285450980 12070856721568 15088570901960 24141713443136 30177141803920 48283426886272 60354283607840 120708567215680 241417134431360