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120142411411204 = 227131944339213683
BaseRepresentation
bin11011010100010011010101…
…110000010010111100000100
3120202101111120012222021222201
4123110103111300102330010
5111221403124310124304
61103304354543404244
734210000645204630
oct3324232560227404
9522344505867881
10120142411411204
1135310124154276
12115844a25b3684
1352064c47715b0
142194cd0a4bdc0
15dd52a6e043a4
hex6d44d5c12f04

120142411411204 has 96 divisors (see below), whose sum is σ = 273002530913280. Its totient is φ = 44925703774848.

The previous prime is 120142411411193. The next prime is 120142411411247. The reversal of 120142411411204 is 402114114241021.

It is a happy number.

It is a super-2 number, since 2×1201424114112042 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 16543054 + ... + 22670629.

It is an arithmetic number, because the mean of its divisors is an integer number (2843776363680).

Almost surely, 2120142411411204 is an apocalyptic number.

120142411411204 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

120142411411204 is an abundant number, since it is smaller than the sum of its proper divisors (152860119502076).

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

120142411411204 is a wasteful number, since it uses less digits than its factorization.

120142411411204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39214169 (or 39214167 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

Adding to 120142411411204 its reverse (402114114241021), we get a palindrome (522256525652225).

The spelling of 120142411411204 in words is "one hundred twenty trillion, one hundred forty-two billion, four hundred eleven million, four hundred eleven thousand, two hundred four".

Divisors: 1 2 4 7 13 14 19 26 28 38 52 76 91 133 182 247 266 364 443 494 532 886 988 1729 1772 3101 3458 5759 6202 6916 8417 11518 12404 16834 23036 33668 40313 58919 80626 109421 117838 161252 218842 235676 437684 765947 1531894 3063788 39213683 78427366 156854732 274495781 509777879 548991562 745059977 1019555758 1097983124 1490119954 2039111516 2980239908 3568445153 5215419839 7136890306 9685779701 10430839678 14273780612 17371661569 19371559402 20861679356 34743323138 38743118804 67800457907 69486646276 121601630983 135600915814 225831600397 243203261966 271201831628 330061569811 451663200794 486406523932 660123139622 903326401588 1320246279244 1580821202779 2310430988677 3161642405558 4290800407543 4620861977354 6323284811116 8581600815086 9241723954708 17163201630172 30035602852801 60071205705602 120142411411204