Search a number
-
+
41024042444 = 227211139367373
BaseRepresentation
bin100110001101001110…
…010011010111001100
310220220000222021122102
4212031032103113030
51133004123324234
630502435334232
72651420415200
oct461516232714
9126800867572
1041024042444
1116442003310
127b4aa51378
133b3a289b38
141db25b6b00
151101866c7e
hex98d3935cc

41024042444 has 144 divisors (see below), whose sum is σ = 92257482240. Its totient is φ = 15782739840.

The previous prime is 41024042419. The next prime is 41024042459. The reversal of 41024042444 is 44424042014.

41024042444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×410240424442 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109983842 + ... + 109984214.

It is an arithmetic number, because the mean of its divisors is an integer number (640676960).

Almost surely, 241024042444 is an apocalyptic number.

41024042444 is a gapful number since it is divisible by the number (44) 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 41024042444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46128741120).

41024042444 is an abundant number, since it is smaller than the sum of its proper divisors (51233439796).

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

41024042444 is a wasteful number, since it uses less digits than its factorization.

41024042444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 29.

Adding to 41024042444 its reverse (44424042014), we get a palindrome (85448084458).

The spelling of 41024042444 in words is "forty-one billion, twenty-four million, forty-two thousand, four hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 139 154 196 278 308 367 373 539 556 734 746 973 1078 1468 1492 1529 1946 2156 2569 2611 3058 3892 4037 4103 5138 5222 6116 6811 8074 8206 10276 10444 10703 13622 16148 16412 17983 18277 21406 27244 28259 28721 35966 36554 42812 51013 51847 56518 57442 71932 73108 74921 102026 103694 113036 114884 136891 149842 197813 201047 204052 207388 273782 299684 357091 362929 395626 402094 547564 561143 570317 714182 725858 791252 804188 958237 1122286 1140634 1428364 1451716 1505801 1916474 2244572 2281268 2499637 2540503 3011602 3832948 3928001 3992219 4999274 5081006 6023204 6707659 7856002 7984438 9998548 10162012 10540607 13415318 15712004 15968876 19027849 21081214 26830636 27496007 27945533 38055698 42162428 54992014 55891066 73784249 76111396 109984028 111782132 133194943 147568498 209306339 266389886 295136996 418612678 532779772 837225356 932364601 1465144373 1864729202 2930288746 3729458404 5860577492 10256010611 20512021222 41024042444