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41344431040 = 2651119959023
BaseRepresentation
bin100110100000010100…
…011111001111000000
310221201100211201011201
4212200110133033000
51134133133243130
630554322350544
72662360602553
oct464024371700
9127640751151
1041344431040
1116596942a80
12801a1bb454
133b8b775ba3
142002d7669a
15111ea51bca
hex9a051f3c0

41344431040 has 112 divisors (see below), whose sum is σ = 107943091200. Its totient is φ = 14958535680.

The previous prime is 41344430993. The next prime is 41344431049. The reversal of 41344431040 is 4013444314.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41344431049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 670969 + ... + 729991.

It is an arithmetic number, because the mean of its divisors is an integer number (963777600).

Almost surely, 241344431040 is an apocalyptic number.

41344431040 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 41344431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53971545600).

41344431040 is an abundant number, since it is smaller than the sum of its proper divisors (66598660160).

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

41344431040 is a wasteful number, since it uses less digits than its factorization.

41344431040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59250 (or 59240 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 41344431040 its reverse (4013444314), we get a palindrome (45357875354).

The spelling of 41344431040 in words is "forty-one billion, three hundred forty-four million, four hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 199 220 320 352 398 440 704 796 880 995 1592 1760 1990 2189 3184 3520 3980 4378 6368 7960 8756 10945 12736 15920 17512 21890 31840 35024 43780 59023 63680 70048 87560 118046 140096 175120 236092 295115 350240 472184 590230 649253 700480 944368 1180460 1298506 1888736 2360920 2597012 3246265 3777472 4721840 5194024 6492530 9443680 10388048 11745577 12985060 18887360 20776096 23491154 25970120 41552192 46982308 51940240 58727885 93964616 103880480 117455770 129201347 187929232 207760960 234911540 258402694 375858464 469823080 516805388 646006735 751716928 939646160 1033610776 1292013470 1879292320 2067221552 2584026940 3758584640 4134443104 5168053880 8268886208 10336107760 20672215520 41344431040