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41244010240 = 28595333811
BaseRepresentation
bin100110011010010101…
…011010011100000000
310221110100212210201211
4212122111122130000
51133431431311430
630540334135504
72660031205546
oct463225323400
9127410783654
1041244010240
1116545194384
127bb0651594
133b73a159b4
141dd38b5d96
151115d1772a
hex99a55a700

41244010240 has 72 divisors (see below), whose sum is σ = 98898882768. Its totient is φ = 16479805440.

The previous prime is 41244010217. The next prime is 41244010303. The reversal of 41244010240 is 4201044214.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1202935 + ... + 1236745.

It is an arithmetic number, because the mean of its divisors is an integer number (1373595594).

Almost surely, 241244010240 is an apocalyptic number.

41244010240 is a gapful number since it is divisible by the number (40) 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 41244010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49449441384).

41244010240 is an abundant number, since it is smaller than the sum of its proper divisors (57654872528).

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

41244010240 is an equidigital number, since it uses as much as digits as its factorization.

41244010240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34785 (or 34771 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 41244010240 its reverse (4201044214), we get a palindrome (45445054454).

The spelling of 41244010240 in words is "forty-one billion, two hundred forty-four million, ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 953 1280 1906 3812 4765 7624 9530 15248 19060 30496 33811 38120 60992 67622 76240 121984 135244 152480 169055 243968 270488 304960 338110 540976 609920 676220 1081952 1219840 1352440 2163904 2704880 4327808 5409760 8655616 10819520 21639040 32221883 43278080 64443766 128887532 161109415 257775064 322218830 515550128 644437660 1031100256 1288875320 2062200512 2577750640 4124401024 5155501280 8248802048 10311002560 20622005120 41244010240