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241010611140 = 2235131471210053
BaseRepresentation
bin1110000001110101011…
…0100001001111000100
3212001002102222120212010
43200131112201033010
512422042204024030
6302415125454220
723261316251655
oct3403526411704
9761072876763
10241010611140
1193237230362
123a861b71370
131995b8856a0
14b94499d52c
156408a366b0
hex381d5a13c4

241010611140 has 96 divisors (see below), whose sum is σ = 727237195776. Its totient is φ = 59285076480.

The previous prime is 241010611139. The next prime is 241010611151. The reversal of 241010611140 is 41116010142.

It is a super-2 number, since 2×2410106111402 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1042354 + ... + 1252406.

It is an arithmetic number, because the mean of its divisors is an integer number (7575387456).

Almost surely, 2241010611140 is an apocalyptic number.

241010611140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241010611140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363618597888).

241010611140 is an abundant number, since it is smaller than the sum of its proper divisors (486226584636).

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

241010611140 is a wasteful number, since it uses less digits than its factorization.

241010611140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211549 (or 211547 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 241010611140 its reverse (41116010142), we get a palindrome (282126621282).

The spelling of 241010611140 in words is "two hundred forty-one billion, ten million, six hundred eleven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 1471 2942 4413 5884 7355 8826 14710 17652 19123 22065 29420 38246 44130 57369 76492 88260 95615 114738 191230 210053 229476 286845 382460 420106 573690 630159 840212 1050265 1147380 1260318 2100530 2520636 2730689 3150795 4201060 5461378 6301590 8192067 10922756 12603180 13653445 16384134 27306890 32768268 40960335 54613780 81920670 163841340 308987963 617975926 926963889 1235951852 1544939815 1853927778 3089879630 3707855556 4016843519 4634819445 6179759260 8033687038 9269638890 12050530557 16067374076 18539277780 20084217595 24101061114 40168435190 48202122228 60252652785 80336870380 120505305570 241010611140