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241423100144 = 24172356236863
BaseRepresentation
bin1110000011010111110…
…0000010100011110000
3212002011012011012101122
43200311330002203300
512423413303201034
6302524102521412
723304455330552
oct3406574024360
9762135135348
10241423100144
1193429056466
123a958136268
13199c617a715
14b9836954d2
15642ed6562e
hex3835f028f0

241423100144 has 80 divisors (see below), whose sum is σ = 516973197312. Its totient is φ = 108636109824.

The previous prime is 241423100089. The next prime is 241423100147. The reversal of 241423100144 is 441001324142.

It is a super-2 number, since 2×2414231001442 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241423100147) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 35174057 + ... + 35180919.

Almost surely, 2241423100144 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 241423100144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258486598656).

241423100144 is an abundant number, since it is smaller than the sum of its proper divisors (275550097168).

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

241423100144 is a wasteful number, since it uses less digits than its factorization.

241423100144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12534 (or 12528 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 241423100144 its reverse (441001324142), we get a palindrome (682424424286).

The spelling of 241423100144 in words is "two hundred forty-one billion, four hundred twenty-three million, one hundred thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 23 34 46 68 92 136 184 272 368 391 782 1564 3128 5623 6256 6863 11246 13726 22492 27452 44984 54904 89968 95591 109808 116671 129329 157849 191182 233342 258658 315698 382364 466684 517316 631396 764728 933368 1034632 1262792 1529456 1866736 2069264 2198593 2525584 2683433 4397186 5366866 8794372 10733732 17588744 21467464 35177488 38590649 42934928 77181298 154362596 308725192 617450384 656041033 887584927 1312082066 1775169854 2624164132 3550339708 5248328264 7100679416 10496656528 14201358832 15088943759 30177887518 60355775036 120711550072 241423100144