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542212144553304 = 233322511891358963
BaseRepresentation
bin111101101001000111001101…
…0010001001101110101011000
32122002210222022121202102102000
41323102032122101031311120
51032032100433001201204
65201104453121041000
7222131351255463441
oct17322163221156530
92562728277672360
10542212144553304
11147846974182535
125099041a186160
131a3715028b91a4
1497c72ca3922c8
1542a42aed43039
hex1ed239a44dd58

542212144553304 has 128 divisors (see below), whose sum is σ = 1506919173715200. Its totient is φ = 180644473728000.

The previous prime is 542212144553269. The next prime is 542212144553357. The reversal of 542212144553304 is 403355441212245.

542212144553304 is a `hidden beast` number, since 5 + 4 + 2 + 2 + 1 + 21 + 44 + 553 + 30 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 542212144553304.

It is a congruent number.

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, 9195773727 + ... + 9195832689.

It is an arithmetic number, because the mean of its divisors is an integer number (11772806044650).

Almost surely, 2542212144553304 is an apocalyptic number.

542212144553304 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

542212144553304 is an abundant number, since it is smaller than the sum of its proper divisors (964707029161896).

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

542212144553304 is a wasteful number, since it uses less digits than its factorization.

542212144553304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80142 (or 80132 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

Adding to 542212144553304 its reverse (403355441212245), we get a palindrome (945567585765549).

The spelling of 542212144553304 in words is "five hundred forty-two trillion, two hundred twelve billion, one hundred forty-four million, five hundred fifty-three thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 2251 4502 6753 9004 13506 18008 18913 20259 27012 37826 40518 54024 56739 58963 60777 75652 81036 113478 117926 121554 151304 162072 170217 176889 226956 235852 243108 340434 353778 453912 471704 486216 510651 530667 680868 707556 1021302 1061334 1361736 1415112 1592001 2042604 2122668 3184002 4085208 4245336 6368004 12736008 42573163 85146326 127719489 132725713 170292652 255438978 265451426 340585304 383158467 398177139 510877956 530902852 766316934 796354278 1021755912 1061805704 1115167219 1149475401 1194531417 1532633868 1592708556 2230334438 2298950802 2389062834 3065267736 3185417112 3345501657 3583594251 4460668876 4597901604 4778125668 6691003314 7167188502 8921337752 9195803208 9556251336 10036504971 13382006628 14334377004 20073009942 26764013256 28668754008 30109514913 40146019884 60219029826 80292039768 120438059652 240876119304 2510241409969 5020482819938 7530724229907 10040965639876 15061448459814 20081931279752 22592172689721 30122896919628 45184345379442 60245793839256 67776518069163 90368690758884 135553036138326 180737381517768 271106072276652 542212144553304