Search a number
-
+
4949243438040 = 23345112296011009
BaseRepresentation
bin100100000000101010111…
…1001011010001111011000
3122112010212021200121220000
41020001111321122033120
51122042022310004130
614305352343133000
71020366603050316
oct110012571321730
918463767617800
104949243438040
111638a649922a0
1267b243744160
1329b933670055
1413178a7970b6
1588b1b735260
hex48055e5a3d8

4949243438040 has 640 divisors, whose sum is σ = 18274892328000. Its totient is φ = 1191407616000.

The previous prime is 4949243438023. The next prime is 4949243438077. The reversal of 4949243438040 is 408343429494.

4949243438040 is a `hidden beast` number, since 4 + 9 + 4 + 92 + 434 + 3 + 80 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 4905097056 + ... + 4905098064.

Almost surely, 24949243438040 is an apocalyptic number.

4949243438040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4949243438040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9137446164000).

4949243438040 is an abundant number, since it is smaller than the sum of its proper divisors (13325648889960).

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

4949243438040 is a wasteful number, since it uses less digits than its factorization.

4949243438040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1873 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 4949243438040 in words is "four trillion, nine hundred forty-nine billion, two hundred forty-three million, four hundred thirty-eight thousand, forty".