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242113413410 = 251131127727769
BaseRepresentation
bin1110000101111100010…
…1011000000100100010
3212010221022002202011122
43201133011120010202
512431322013212120
6303120402412242
723330540025641
oct3413705300442
9763838082148
10242113413410
1193752789aa0
123ab0b361082
1319aa61a79cb
14ba0b22b358
156470772a25
hex385f158122

242113413410 has 128 divisors (see below), whose sum is σ = 495947612160. Its totient is φ = 84304281600.

The previous prime is 242113413403. The next prime is 242113413413. The reversal of 242113413410 is 14314311242.

It is a self number, because there is not a number n which added to its sum of digits gives 242113413410.

It is not an unprimeable number, because it can be changed into a prime (242113413413) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 314841506 + ... + 314842274.

It is an arithmetic number, because the mean of its divisors is an integer number (3874590720).

Almost surely, 2242113413410 is an apocalyptic number.

242113413410 is an abundant number, since it is smaller than the sum of its proper divisors (253834198750).

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

242113413410 is a wasteful number, since it uses less digits than its factorization.

242113413410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672.

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 242113413410 its reverse (14314311242), we get a palindrome (256427724652).

The spelling of 242113413410 in words is "two hundred forty-two billion, one hundred thirteen million, four hundred thirteen thousand, four hundred ten".

Divisors: 1 2 5 10 11 22 31 55 62 110 127 155 254 310 341 635 682 727 769 1270 1397 1454 1538 1705 2794 3410 3635 3845 3937 6985 7270 7690 7874 7997 8459 13970 15994 16918 19685 22537 23839 39370 39985 42295 43307 45074 47678 79970 84590 86614 92329 97663 112685 119195 184658 195326 216535 225370 238390 247907 262229 433070 461645 488315 495814 524458 559063 923290 976630 1015619 1074293 1118126 1239535 1311145 2031238 2148586 2479070 2622290 2795315 2862199 3027553 5078095 5371465 5590630 5724398 6055106 6149693 10156190 10742930 12299386 14310995 15137765 17330953 28621990 30275530 30748465 31484189 33303083 34661906 61496930 62968378 66606166 71001001 86654765 142002002 157420945 166515415 173309530 190640483 314841890 333030830 355005005 381280966 710010010 781011011 953202415 1562022022 1906404830 2201031031 3905055055 4402062062 7810110110 11005155155 22010310310 24211341341 48422682682 121056706705 242113413410