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4131362004 = 2237114471171
BaseRepresentation
bin1111011000111111…
…1001010011010100
3101122220212221020120
43312033321103110
531430112041004
61521541231540
7204243666120
oct36617712324
911586787216
104131362004
111830056470
129737025b0
1350abc6103
142b298a580
15192a723d9
hexf63f94d4

4131362004 has 48 divisors (see below), whose sum is σ = 12018510336. Its totient is φ = 1073080800.

The previous prime is 4131362003. The next prime is 4131362023. The reversal of 4131362004 is 4002631314.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4131362003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2234662 + ... + 2236509.

It is an arithmetic number, because the mean of its divisors is an integer number (250385632).

Almost surely, 24131362004 is an apocalyptic number.

4131362004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4131362004 is an abundant number, since it is smaller than the sum of its proper divisors (7887148332).

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

4131362004 is a wasteful number, since it uses less digits than its factorization.

4131362004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4471196 (or 4471194 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 4131362004 is about 64275.6719451458. The cubic root of 4131362004 is about 1604.5912403227.

Adding to 4131362004 its reverse (4002631314), we get a palindrome (8133993318).

The spelling of 4131362004 in words is "four billion, one hundred thirty-one million, three hundred sixty-two thousand, four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 4471171 8942342 13413513 17884684 26827026 31298197 49182881 53654052 62596394 93894591 98365762 125192788 147548643 187789182 196731524 295097286 344280167 375578364 590194572 688560334 1032840501 1377120668 2065681002 4131362004