Search a number
-
+
3741124941 = 33172471012
BaseRepresentation
bin1101111011111101…
…0000100101001101
3100122201120211122000
43132333100211031
530130211444231
61415121142513
7161465015541
oct33677204515
910581524560
103741124941
11164a8495a4
12884a8aa39
134780c24c8
14276c07a21
1516d68b6e6
hexdefd094d

3741124941 has 72 divisors (see below), whose sum is σ = 6073000320. Its totient is φ = 2274681600.

The previous prime is 3741124883. The next prime is 3741124969. The reversal of 3741124941 is 1494211473.

3741124941 is a `hidden beast` number, since 374 + 1 + 1 + 249 + 41 = 666.

3741124941 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3741124941 - 211 = 3741122893 is a prime.

Its product of digits (24192) is a multiple of the sum of its prime divisors (168).

It is a junction number, because it is equal to n+sod(n) for n = 3741124896 and 3741124905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3741124441) 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 71 ways as a sum of consecutive naturals, for example, 37040791 + ... + 37040891.

Almost surely, 23741124941 is an apocalyptic number.

It is an amenable number.

3741124941 is a deficient number, since it is larger than the sum of its proper divisors (2331875379).

3741124941 is a wasteful number, since it uses less digits than its factorization.

3741124941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 168 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 3741124941 is about 61164.7360903323. The cubic root of 3741124941 is about 1552.3896460570.

The spelling of 3741124941 in words is "three billion, seven hundred forty-one million, one hundred twenty-four thousand, nine hundred forty-one".

Divisors: 1 3 9 17 27 47 51 101 141 153 289 303 423 459 799 867 909 1269 1717 2397 2601 2727 4747 5151 7191 7803 10201 13583 14241 15453 21573 29189 30603 40749 42723 46359 80699 87567 91809 122247 128169 173417 242097 262701 275427 366741 479447 520251 726291 788103 1371883 1438341 1560753 2178873 2948089 4115649 4315023 4682259 8150599 8844267 12346947 12945069 24451797 26532801 37040841 73355391 79598403 138560183 220066173 415680549 1247041647 3741124941