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241024202420142 = 232917833413227627
BaseRepresentation
bin110110110011010111010001…
…111101111010111110101110
31011121101200121002002211022010
4312303113101331322332232
5223042420031304421032
62212340553502102050
7101524265265325131
oct6663272175727656
91147350532084263
10241024202420142
116a885876861829
122304813187a926
13a46463c04222b
1443738c29d4218
151cce8d5199ccc
hexdb35d1f7afae

241024202420142 has 64 divisors (see below), whose sum is σ = 499098828142080. Its totient is φ = 77504445938304.

The previous prime is 241024202420093. The next prime is 241024202420147.

241024202420142 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241024202420147) 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, 1058742133 + ... + 1058969759.

It is an arithmetic number, because the mean of its divisors is an integer number (7798419189720).

Almost surely, 2241024202420142 is an apocalyptic number.

241024202420142 is an abundant number, since it is smaller than the sum of its proper divisors (258074625721938).

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

241024202420142 is a wasteful number, since it uses less digits than its factorization.

241024202420142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232857.

The product of its (nonzero) digits is 16384, while the sum is 30.

It can be divided in two parts, 24102420 and 2420142, that added together give a palindrome (26522562).

The spelling of 241024202420142 in words is "two hundred forty-one trillion, twenty-four billion, two hundred two million, four hundred twenty thousand, one hundred forty-two".

Divisors: 1 2 3 6 29 58 87 174 1783 3413 3566 5349 6826 10239 10698 20478 51707 98977 103414 155121 197954 227627 296931 310242 455254 593862 682881 1365762 6085379 6601183 12170758 13202366 18256137 19803549 36512274 39607098 176475991 352951982 405858941 529427973 776890951 811717882 1058855946 1217576823 1553781902 2330672853 2435153646 4661345706 11769909289 22529837579 23539818578 35309727867 45059675158 67589512737 70619455734 135179025474 1385196565633 2770393131266 4155589696899 8311179393798 40170700403357 80341400806714 120512101210071 241024202420142