Search a number
-
+
134241230213424 = 24331663228181919
BaseRepresentation
bin11110100001011101111000…
…110101110101000100110000
3122121022100002010220112021000
4132201131320311311010300
5120043402014413312144
61153301323024402000
740163415553535505
oct3641357065650460
9577270063815230
10134241230213424
1139856427880644
1213080a24476300
1359b9b80594979
14252144b3034ac
15107bdc84b7769
hex7a1778d75130

134241230213424 has 160 divisors (see below), whose sum is σ = 385727489638400. Its totient is φ = 44700018117120.

The previous prime is 134241230213413. The next prime is 134241230213549. The reversal of 134241230213424 is 424312032142431.

134241230213424 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 4 + 1 + 2 + 302 + 1 + 342 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1638665937 + ... + 1638747855.

It is an arithmetic number, because the mean of its divisors is an integer number (2410796810240).

Almost surely, 2134241230213424 is an apocalyptic number.

It is an amenable number.

134241230213424 is an abundant number, since it is smaller than the sum of its proper divisors (251486259424976).

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

134241230213424 is a wasteful number, since it uses less digits than its factorization.

134241230213424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85880 (or 85868 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 134241230213424 its reverse (424312032142431), we get a palindrome (558553262355855).

The spelling of 134241230213424 in words is "one hundred thirty-four trillion, two hundred forty-one billion, two hundred thirty million, two hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1663 2281 3326 4562 4989 6652 6843 9124 9978 13304 13686 14967 18248 19956 20529 26608 27372 29934 36496 39912 41058 44901 54744 59868 61587 79824 81919 82116 89802 109488 119736 123174 163838 164232 179604 239472 245757 246348 327676 328464 359208 491514 492696 655352 718416 737271 983028 985392 1310704 1474542 1966056 2211813 2949084 3793303 3932112 4423626 5898168 7586606 8847252 11379909 11796336 15173212 17694504 22759818 30346424 34139727 35389008 45519636 60692848 68279454 91039272 102419181 136231297 136558908 182078544 186857239 204838362 272462594 273117816 373714478 408693891 409676724 544925188 546235632 560571717 747428956 817387782 819353448 1089850376 1121143434 1226081673 1494857912 1634775564 1638706896 1681715151 2179700752 2242286868 2452163346 2989715824 3269551128 3363430302 3678245019 4484573736 4904326692 5045145453 6539102256 6726860604 7356490038 8969147472 9808653384 10090290906 13453721208 14712980076 19617306768 20180581812 26907442416 29425960152 40361163624 58851920304 80722327248 310743588457 621487176914 932230765371 1242974353828 1864461530742 2485948707656 2796692296113 3728923061484 4971897415312 5593384592226 7457846122968 8390076888339 11186769184452 14915692245936 16780153776678 22373538368904 33560307553356 44747076737808 67120615106712 134241230213424