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41504544444 = 22311289397809
BaseRepresentation
bin100110101001110111…
…010001011010111100
310222010112010022110210
4212221313101122330
51140000130410234
631022242232420
72666343543516
oct465167213274
9128115108423
1041504544444
1116669262600
128063955710
133bb59a614c
14201a334bb6
15112db2cbe9
hex9a9dd16bc

41504544444 has 144 divisors (see below), whose sum is σ = 108048880800. Its totient is φ = 12389160960.

The previous prime is 41504544439. The next prime is 41504544451. The reversal of 41504544444 is 44444540514.

It is a congruent number.

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, 51303112 + ... + 51303920.

It is an arithmetic number, because the mean of its divisors is an integer number (750339450).

Almost surely, 241504544444 is an apocalyptic number.

41504544444 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 41504544444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54024440400).

41504544444 is an abundant number, since it is smaller than the sum of its proper divisors (66544336356).

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

41504544444 is a wasteful number, since it uses less digits than its factorization.

41504544444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 39.

The spelling of 41504544444 in words is "forty-one billion, five hundred four million, five hundred forty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 89 121 132 178 242 267 356 363 397 484 534 726 794 809 979 1068 1191 1452 1588 1618 1958 2382 2427 2937 3236 3916 4367 4764 4854 5874 8734 8899 9708 10769 11748 13101 17468 17798 21538 26202 26697 32307 35333 35596 43076 48037 52404 53394 64614 70666 72001 96074 97889 105999 106788 129228 141332 144002 144111 192148 195778 211998 216003 288004 288222 293667 321173 388663 391556 423996 432006 576444 587334 642346 777326 792011 864012 963519 1165989 1174668 1284692 1554652 1584022 1927038 2331978 2376033 3168044 3532903 3854076 4275293 4663956 4752066 7065806 8550586 8712121 9504132 10598709 12825879 14131612 17101172 17424242 21197418 25651758 26136363 28584397 34848484 38861933 42394836 51303516 52272726 57168794 77723866 85753191 104545452 114337588 116585799 155447732 171506382 233171598 314428367 343012764 466343196 628856734 943285101 1257713468 1886570202 3458712037 3773140404 6917424074 10376136111 13834848148 20752272222 41504544444