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124342424243421 = 3173710133710691811
BaseRepresentation
bin11100010001011010111010…
…000001110000110011011101
3121022021000112100002121220120
4130101122322001300303131
5112244211241101242141
61120242042054505153
735122305121221546
oct3421327201606335
9538230470077816
10124342424243421
113668a36498107a
1211b4248a3651b9
13544c59542cc07
14229c2c3a4d4cd
15e5967251ac66
hex7116ba070cdd

124342424243421 has 128 divisors (see below), whose sum is σ = 182883673290240. Its totient is φ = 74824114176000.

The previous prime is 124342424243399. The next prime is 124342424243459.

124342424243421 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 124342424243421 - 29 = 124342424242909 is a prime.

It is a super-2 number, since 2×1243424242434212 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124342424243221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 68659537606 + ... + 68659539416.

It is an arithmetic number, because the mean of its divisors is an integer number (1428778697580).

Almost surely, 2124342424243421 is an apocalyptic number.

It is an amenable number.

124342424243421 is a deficient number, since it is larger than the sum of its proper divisors (58541249046819).

124342424243421 is a wasteful number, since it uses less digits than its factorization.

124342424243421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3375.

The product of its digits is 1179648, while the sum is 42.

The spelling of 124342424243421 in words is "one hundred twenty-four trillion, three hundred forty-two billion, four hundred twenty-four million, two hundred forty-three thousand, four hundred twenty-one".

Divisors: 1 3 17 37 51 101 111 303 337 629 1011 1069 1717 1811 1887 3207 3737 5151 5433 5729 11211 12469 17187 18173 30787 34037 37407 39553 54519 63529 67007 92361 102111 107969 118659 182911 190587 201021 211973 323907 360253 548733 578629 610307 635919 672401 1080759 1139119 1259369 1735887 1830921 1835473 1935959 2017203 3109487 3417357 3778107 3994853 5506419 5807877 6124301 6767707 9328461 10375219 11984559 13329361 18372903 20303121 21409273 22581359 31125657 32911303 36385553 39988083 61641007 64227819 67744077 67912501 71630483 98733909 109156659 115051019 184923021 195531859 203737503 214891449 226599137 345153057 383883103 586595577 618554401 652418183 679797411 1047897119 1151649309 1217718211 1346265461 1855663203 1957254549 2280717259 3143691357 3324041603 3653154633 4038796383 6842151777 7234678783 9972124809 11091109111 21704036349 22886512837 24139472771 33273327333 38772193403 65894236483 68659538511 72418418313 116316580209 122989539311 197682709449 368968617933 410371037107 1120202020211 1231113111321 2438086749871 3360606060633 7314260249613 41447474747807 124342424243421