Search a number
-
+
41300431440 = 24351631055737
BaseRepresentation
bin100110011101101100…
…101001001001010000
310221121022001022001220
4212131230221021100
51134040402301230
630550111325040
72661314606052
oct463554511120
9127538038056
1041300431440
1116574020474
128007520780
133b8260ba18
141ddb1a18d2
15111ac5ed10
hex99db29250

41300431440 has 80 divisors (see below), whose sum is σ = 128816927808. Its totient is φ = 10945870848.

The previous prime is 41300431429. The next prime is 41300431481. The reversal of 41300431440 is 4413400314.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 41300431440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 488749 + ... + 566988.

Almost surely, 241300431440 is an apocalyptic number.

41300431440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41300431440 is an abundant number, since it is smaller than the sum of its proper divisors (87516496368).

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

41300431440 is a wasteful number, since it uses less digits than its factorization.

41300431440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055916 (or 1055910 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 41300431440 its reverse (4413400314), we get a palindrome (45713831754).

It can be divided in two parts, 413004 and 31440, that added together give a palindrome (444444).

The spelling of 41300431440 in words is "forty-one billion, three hundred million, four hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 163 240 326 489 652 815 978 1304 1630 1956 2445 2608 3260 3912 4890 6520 7824 9780 13040 19560 39120 1055737 2111474 3167211 4222948 5278685 6334422 8445896 10557370 12668844 15836055 16891792 21114740 25337688 31672110 42229480 50675376 63344220 84458960 126688440 172085131 253376880 344170262 516255393 688340524 860425655 1032510786 1376681048 1720851310 2065021572 2581276965 2753362096 3441702620 4130043144 5162553930 6883405240 8260086288 10325107860 13766810480 20650215720 41300431440