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10104424302042 = 2327229339390479
BaseRepresentation
bin1001001100001001111010…
…0111110000010111011010
31022202222021200222102111200
42103002132213300113122
52311022330110131132
633253524120135030
72062010024305500
oct223023647602732
938688250872450
1010104424302042
113246298107794
12117237b307476
13583ac6459565
1426d0b19d2670
15127c8c7b6d7c
hex9309e9f05da

10104424302042 has 72 divisors (see below), whose sum is σ = 25468206753600. Its totient is φ = 2886872578128.

The previous prime is 10104424302019. The next prime is 10104424302047. The reversal of 10104424302042 is 24020342440101.

10104424302042 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 4 + 424 + 30 + 204 + 2 = 666.

10104424302042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×101044243020424 (a number of 53 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10104424301997 and 10104424302015.

It is not an unprimeable number, because it can be changed into a prime (10104424302047) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25681759 + ... + 26072237.

It is an arithmetic number, because the mean of its divisors is an integer number (353725093800).

Almost surely, 210104424302042 is an apocalyptic number.

10104424302042 is an abundant number, since it is smaller than the sum of its proper divisors (15363782451558).

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

10104424302042 is a wasteful number, since it uses less digits than its factorization.

10104424302042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419840 (or 419830 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 10104424302042 its reverse (24020342440101), we get a palindrome (34124766742143).

The spelling of 10104424302042 in words is "ten trillion, one hundred four billion, four hundred twenty-four million, three hundred two thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 29339 58678 88017 176034 205373 264051 390479 410746 528102 616119 780958 1171437 1232238 1437611 1848357 2342874 2733353 2875222 3514311 3696714 4312833 5466706 7028622 8200059 8625666 12938499 16400118 19133471 24600177 25876998 38266942 49200354 57400413 114800826 172201239 344402478 11456263381 22912526762 34368790143 68737580286 80193843667 103106370429 160387687334 206212740858 240581531001 481163062002 561356905669 721744593003 1122713811338 1443489186006 1684070717007 3368141434014 5052212151021 10104424302042