Search a number
-
+
241343100240 = 24351191417841
BaseRepresentation
bin1110000011000100101…
…0110111010101010000
3212001221121121210011020
43200301022313111100
512423232313201430
6302512124115440
723302464334644
oct3406112672520
9761847553136
10241343100240
1193397985340
123a935395b80
13199b271a3b8
14b976bccc24
156427d11b10
hex38312b7550

241343100240 has 80 divisors (see below), whose sum is σ = 816178493376. Its totient is φ = 58507417600.

The previous prime is 241343100211. The next prime is 241343100293. The reversal of 241343100240 is 42001343142.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 241343100240.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 45706281 + ... + 45711560.

Almost surely, 2241343100240 is an apocalyptic number.

241343100240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241343100240 is an abundant number, since it is smaller than the sum of its proper divisors (574835393136).

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

241343100240 is a wasteful number, since it uses less digits than its factorization.

241343100240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91417868 (or 91417862 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 241343100240 its reverse (42001343142), we get a palindrome (283344443382).

The spelling of 241343100240 in words is "two hundred forty-one billion, three hundred forty-three million, one hundred thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 91417841 182835682 274253523 365671364 457089205 548507046 731342728 914178410 1005596251 1097014092 1371267615 1462685456 1828356820 2011192502 2194028184 2742535230 3016788753 3656713640 4022385004 4388056368 5027981255 5485070460 6033577506 7313427280 8044770008 10055962510 10970140920 12067155012 15083943765 16089540016 20111925020 21940281840 24134310024 30167887530 40223850040 48268620048 60335775060 80447700080 120671550120 241343100240