Search a number
-
+
4144020302004 = 2231131394093197
BaseRepresentation
bin111100010011011010110…
…110111010100010110100
3112200011102220022002020120
4330103122312322202310
51020343423144131004
612451423040531540
7605252454243402
oct74233266724264
915604386262216
104144020302004
111358518476150
1256b180020bb0
13240a19569b4b
14104800888472
1572bdeb123d9
hex3c4dadba8b4

4144020302004 has 24 divisors (see below), whose sum is σ = 10548415314528. Its totient is φ = 1255763727840.

The previous prime is 4144020301999. The next prime is 4144020302021. The reversal of 4144020302004 is 4002030204414.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15697046467 + ... + 15697046730.

It is an arithmetic number, because the mean of its divisors is an integer number (439517304772).

Almost surely, 24144020302004 is an apocalyptic number.

4144020302004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4144020302004 is an abundant number, since it is smaller than the sum of its proper divisors (6404395012524).

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

4144020302004 is a wasteful number, since it uses less digits than its factorization.

4144020302004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31394093215 (or 31394093213 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 4144020302004 its reverse (4002030204414), we get a palindrome (8146050506418).

The spelling of 4144020302004 in words is "four trillion, one hundred forty-four billion, twenty million, three hundred two thousand, four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 31394093197 62788186394 94182279591 125576372788 188364559182 345335025167 376729118364 690670050334 1036005075501 1381340100668 2072010151002 4144020302004