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241013130442304 = 2611503863788659
BaseRepresentation
bin110110110011001100111110…
…000001101011011001000000
31011121100122000110020002000212
4312303030332001223121000
5223042224342343123204
62212331523103133252
7101523424023140303
oct6663147601533100
91147318013202025
10241013130442304
116a881104a31a20
1223045b618a4228
13a463596235a5c
144373152348b3a
151cce48813dc6e
hexdb333e06b640

241013130442304 has 112 divisors (see below), whose sum is σ = 523382334935040. Its totient is φ = 109206798205440.

The previous prime is 241013130442267. The next prime is 241013130442327. The reversal of 241013130442304 is 403244031310142.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 305204327 + ... + 305992985.

It is an arithmetic number, because the mean of its divisors is an integer number (4673056561920).

Almost surely, 2241013130442304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241013130442304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261691167467520).

241013130442304 is an abundant number, since it is smaller than the sum of its proper divisors (282369204492736).

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

241013130442304 is a wasteful number, since it uses less digits than its factorization.

241013130442304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790048 (or 790038 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 241013130442304 its reverse (403244031310142), we get a palindrome (644257161752446).

The spelling of 241013130442304 in words is "two hundred forty-one trillion, thirteen billion, one hundred thirty million, four hundred forty-two thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 503 704 863 1006 1726 2012 3452 4024 5533 6904 8048 9493 11066 13808 16096 18986 22132 27616 32192 37972 44264 55232 75944 88528 151888 177056 303776 354112 434089 607552 788659 868178 1577318 1736356 3154636 3472712 4774979 6309272 6945424 8675249 9549958 12618544 13890848 17350498 19099916 25237088 27781696 34700996 38199832 50474176 69401992 76399664 138803984 152799328 277607968 305598656 396695477 555215936 680612717 793390954 1361225434 1586781908 2722450868 3173563816 4363650247 5444901736 6347127632 7486739887 8727300494 10889803472 12694255264 14973479774 17454600988 21779606944 25388510528 29946959548 34909201976 43559213888 59893919096 69818403952 119787838192 139636807904 239575676384 279273615808 342348196651 479151352768 684696393302 1369392786604 2738785573208 3765830163161 5477571146416 7531660326322 10955142292832 15063320652644 21910284585664 30126641305288 60253282610576 120506565221152 241013130442304