Search a number
-
+
241324260240 = 24357178449729
BaseRepresentation
bin1110000011000000001…
…0111111101110010000
3212001220022011121112110
43200300002333232100
512423213002311430
6302510212225320
723302145236560
oct3406002775620
9761808147473
10241324260240
1193388287598
123a92b00b240
13199ab851c7b
14b9744c6da0
15642633e7b0
hex38300bfb90

241324260240 has 160 divisors (see below), whose sum is σ = 905270273280. Its totient is φ = 51915128832.

The previous prime is 241324260179. The next prime is 241324260269. The reversal of 241324260240 is 42062423142.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 241324260198 and 241324260207.

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, 4196305 + ... + 4253424.

It is an arithmetic number, because the mean of its divisors is an integer number (5657939208).

Almost surely, 2241324260240 is an apocalyptic number.

241324260240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241324260240 is an abundant number, since it is smaller than the sum of its proper divisors (663946013040).

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

241324260240 is a wasteful number, since it uses less digits than its factorization.

241324260240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8449769 (or 8449763 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 241324260240 its reverse (42062423142), we get a palindrome (283386683382).

The spelling of 241324260240 in words is "two hundred forty-one billion, three hundred twenty-four million, two hundred sixty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 28 30 34 35 40 42 48 51 56 60 68 70 80 84 85 102 105 112 119 120 136 140 168 170 204 210 238 240 255 272 280 336 340 357 408 420 476 510 560 595 680 714 816 840 952 1020 1190 1360 1428 1680 1785 1904 2040 2380 2856 3570 4080 4760 5712 7140 9520 14280 28560 8449729 16899458 25349187 33798916 42248645 50698374 59148103 67597832 84497290 101396748 118296206 126745935 135195664 143645393 168994580 177444309 202793496 236592412 253491870 287290786 295740515 337989160 354888618 405586992 430936179 473184824 506983740 574581572 591481030 675978320 709777236 718226965 861872358 887221545 946369648 1005517751 1013967480 1149163144 1182962060 1419554472 1436453930 1723744716 1774443090 2011035502 2027934960 2154680895 2298326288 2365924120 2839108944 2872907860 3016553253 3447489432 3548886180 4022071004 4309361790 4731848240 5027588755 5745815720 6033106506 6894978864 7097772360 8044142008 8618723580 10055177510 11491631440 12066213012 14195544720 15082766265 16088284016 17237447160 20110355020 24132426024 30165532530 34474894320 40220710040 48264852048 60331065060 80441420080 120662130120 241324260240