Search a number
-
+
3844114542 = 2321915771593
BaseRepresentation
bin1110010100100000…
…1000100001101110
3100220220101020210200
43211020020201232
530333043131132
61433240414330
7164155302012
oct34510104156
910826336720
103844114542
1116a29a2174
128b34773a6
134935419b8
14286776542
15177731d7c
hexe520886e

3844114542 has 48 divisors (see below), whose sum is σ = 8823244560. Its totient is φ = 1206182016.

The previous prime is 3844114541. The next prime is 3844114577. The reversal of 3844114542 is 2454114483.

3844114542 is a `hidden beast` number, since 38 + 441 + 145 + 42 = 666.

It is a super-2 number, since 2×38441145422 = 29554433224031739528, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3844114497 and 3844114506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3844114541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17898 + ... + 89490.

It is an arithmetic number, because the mean of its divisors is an integer number (183817595).

Almost surely, 23844114542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3844114542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4411622280).

3844114542 is an abundant number, since it is smaller than the sum of its proper divisors (4979130018).

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

3844114542 is a wasteful number, since it uses less digits than its factorization.

3844114542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71777 (or 71774 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 3844114542 is about 62000.9237189253. The cubic root of 3844114542 is about 1566.5061584669.

The spelling of 3844114542 in words is "three billion, eight hundred forty-four million, one hundred fourteen thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 157 171 314 342 471 942 1413 2826 2983 5966 8949 17898 26847 53694 71593 143186 214779 429558 644337 1288674 1360267 2720534 4080801 8161602 11240101 12242403 22480202 24484806 33720303 67440606 101160909 202321818 213561919 427123838 640685757 1281371514 1922057271 3844114542