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241046616632010 = 235731160012314051
BaseRepresentation
bin110110110011101100001001…
…111101010110101011001010
31011121110211110011101202122020
4312303230021331112223022
5223043301432324211020
62212355141552305310
7101526020604066450
oct6663541175265312
91147424404352566
10241046616632010
116a89432901a972
1223050548242236
13a4667a19404a7
144374a0b7989d0
151cd0297d47c40
hexdb3b09f56aca

241046616632010 has 128 divisors (see below), whose sum is σ = 682527008636928. Its totient is φ = 53315712000000.

The previous prime is 241046616631967. The next prime is 241046616632023. The reversal of 241046616632010 is 10236616640142.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 103009485 + ... + 105323535.

It is an arithmetic number, because the mean of its divisors is an integer number (5332242254976).

Almost surely, 2241046616632010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241046616632010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341263504318464).

241046616632010 is an abundant number, since it is smaller than the sum of its proper divisors (441480392004918).

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

241046616632010 is a wasteful number, since it uses less digits than its factorization.

241046616632010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2330100.

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 241046616632010 in words is "two hundred forty-one trillion, forty-six billion, six hundred sixteen million, six hundred thirty-two thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 62 70 93 105 155 186 210 217 310 434 465 651 930 1085 1302 2170 3255 6510 16001 32002 48003 80005 96006 112007 160010 224014 240015 336021 480030 496031 560035 672042 992062 1120070 1488093 1680105 2314051 2480155 2976186 3360210 3472217 4628102 4960310 6942153 6944434 7440465 10416651 11570255 13884306 14880930 16198357 17361085 20833302 23140510 32396714 34710765 34722170 48595071 52083255 69421530 71735581 80991785 97190142 104166510 143471162 161983570 215206743 242975355 358677905 430413486 485950710 502149067 717355810 1004298134 1076033715 1506447201 2152067430 2510745335 3012894402 5021490670 7532236005 15064472010 37027130051 74054260102 111081390153 185135650255 222162780306 259189910357 370271300510 518379820714 555406950765 777569731071 1110813901530 1147841031581 1295949551785 1555139462142 2295682063162 2591899103570 3443523094743 3887848655355 5739205157905 6887046189486 7775697310710 8034887221067 11478410315810 16069774442134 17217615473715 24104661663201 34435230947430 40174436105335 48209323326402 80348872210670 120523308316005 241046616632010