Search a number
-
+
38102434029 = 3211234988461
BaseRepresentation
bin100011011111000101…
…010000000011101101
310122100102110012100100
4203133011100003231
51111013210342104
625300511221313
72516133226332
oct433705200355
9118312405310
1038102434029
1115182915700
127474517839
133792bc186a
141bb6578989
15ed010a139
hex8df1500ed

38102434029 has 18 divisors (see below), whose sum is σ = 60495050798. Its totient is φ = 23092383600.

The previous prime is 38102434021. The next prime is 38102434043. The reversal of 38102434029 is 92043420183.

38102434029 is a `hidden beast` number, since 3 + 8 + 1 + 0 + 243 + 402 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22943160900 + 15159273129 = 151470^2 + 123123^2 .

It is not a de Polignac number, because 38102434029 - 23 = 38102434021 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 38102433984 and 38102434002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38102434021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17493142 + ... + 17495319.

Almost surely, 238102434029 is an apocalyptic number.

It is an amenable number.

38102434029 is a deficient number, since it is larger than the sum of its proper divisors (22392616769).

38102434029 is a wasteful number, since it uses less digits than its factorization.

38102434029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34988489 (or 34988475 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 38102434029 in words is "thirty-eight billion, one hundred two million, four hundred thirty-four thousand, twenty-nine".

Divisors: 1 3 9 11 33 99 121 363 1089 34988461 104965383 314896149 384873071 1154619213 3463857639 4233603781 12700811343 38102434029