Search a number
-
+
241424693568136 = 231329531979763183
BaseRepresentation
bin110110111001001100010001…
…000110011010001010001000
31011122210222022222212002200101
4312321030101012122022020
5223121000233023140021
62213244550105215144
7101565233653034401
oct6671142106321210
91148728288762611
10241424693568136
116aa1a701654961
12230b18814914b4
13a493335356490
1443890360c69a8
151cda024c5da91
hexdb931119a288

241424693568136 has 128 divisors (see below), whose sum is σ = 514077689664000. Its totient is φ = 105501107432448.

The previous prime is 241424693568073. The next prime is 241424693568137. The reversal of 241424693568136 is 631865396424142.

It is not an unprimeable number, because it can be changed into a prime (241424693568137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 315957601 + ... + 316720783.

It is an arithmetic number, because the mean of its divisors is an integer number (4016231950500).

Almost surely, 2241424693568136 is an apocalyptic number.

241424693568136 is a gapful number since it is divisible by the number (26) 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 241424693568136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257038844832000).

241424693568136 is an abundant number, since it is smaller than the sum of its proper divisors (272652996095864).

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

241424693568136 is a wasteful number, since it uses less digits than its factorization.

241424693568136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765263 (or 765259 counting only the distinct ones).

The product of its digits is 179159040, while the sum is 64.

The spelling of 241424693568136 in words is "two hundred forty-one trillion, four hundred twenty-four billion, six hundred ninety-three million, five hundred sixty-eight thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 26 29 52 53 58 104 106 116 212 232 377 424 689 754 1378 1508 1537 1979 2756 3016 3074 3958 5512 6148 7916 12296 15832 19981 25727 39962 51454 57391 79924 102908 104887 114782 159848 205816 209774 229564 419548 459128 746083 763183 839096 1363531 1492166 1526366 2727062 2984332 3041723 3052732 5454124 5968664 6083446 6105464 9921379 10908248 12166892 19842758 22132307 24333784 39542399 39685516 40448699 44264614 79084798 79371032 80897398 88529228 158169596 161794796 177058456 287719991 316339192 323589592 525833087 575439982 1051666174 1150879964 1173012271 1510339157 2103332348 2301759928 2346024542 3020678314 4206664696 4692049084 6041356628 9384098168 12082713256 15249159523 19634409041 30498319046 39268818082 43799835553 60996638092 78537636164 80047975321 87599671106 121993276184 157075272328 160095950642 175199342212 320191901284 350398684424 569397862189 640383802568 1040623679173 1138795724378 2081247358346 2277591448756 2321391284309 4162494716692 4555182897512 4642782568618 8324989433384 9285565137236 18571130274472 30178086696017 60356173392034 120712346784068 241424693568136