Search a number
-
+
30004102411024 = 247271398744479
BaseRepresentation
bin1101101001001110111111…
…10111011011001100010000
310221020100211111002211110011
412310213133313123030100
512413041400204123044
6143451405552044304
76214503425326210
oct664473767331420
9127210744084404
1030004102411024
119618739673195
123446bb5233694
1313984b43399b1
1475a2c615c240
1537072002d134
hex1b49dfddb310

30004102411024 has 40 divisors (see below), whose sum is σ = 66462144642560. Its totient is φ = 12854161168128.

The previous prime is 30004102411021. The next prime is 30004102411037. The reversal of 30004102411024 is 42011420140003.

It is a happy number.

It is a super-2 number, since 2×300041024110242 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30004102410986 and 30004102411004.

It is not an unprimeable number, because it can be changed into a prime (30004102411021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49068384 + ... + 49676095.

It is an arithmetic number, because the mean of its divisors is an integer number (1661553616064).

Almost surely, 230004102411024 is an apocalyptic number.

It is an amenable number.

30004102411024 is an abundant number, since it is smaller than the sum of its proper divisors (36458042231536).

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

30004102411024 is a wasteful number, since it uses less digits than its factorization.

30004102411024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98747207 (or 98747201 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 30004102411024 its reverse (42011420140003), we get a palindrome (72015522551027).

The spelling of 30004102411024 in words is "thirty trillion, four billion, one hundred two million, four hundred eleven thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 2713 5426 10852 18991 21704 37982 43408 75964 151928 303856 98744479 197488958 394977916 691211353 789955832 1382422706 1579911664 2764845412 5529690824 11059381648 267893771527 535787543054 1071575086108 1875256400689 2143150172216 3750512801378 4286300344432 7501025602756 15002051205512 30004102411024