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41024341240240 = 24529107165260801
BaseRepresentation
bin10010101001111101110010…
…10010010110100110110000
312101020212222212200120002211
421110332321102112212300
520334120322324141430
6223130153332021504
711432624263654531
oct1124767122264660
9171225885616084
1041024341240240
1112087364145036
124726960a61894
1319b776a769627
14a1b8355c8688
154b220d3cc72a
hex254fb94969b0

41024341240240 has 80 divisors (see below), whose sum is σ = 99592769717280. Its totient is φ = 15695809740800.

The previous prime is 41024341240237. The next prime is 41024341240241. The reversal of 41024341240240 is 4204214342014.

It is a happy number.

41024341240240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (41024341240241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82382161 + ... + 82878640.

It is an arithmetic number, because the mean of its divisors is an integer number (1244909621466).

Almost surely, 241024341240240 is an apocalyptic number.

41024341240240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41024341240240 is an abundant number, since it is smaller than the sum of its proper divisors (58568428477040).

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

41024341240240 is a wasteful number, since it uses less digits than its factorization.

41024341240240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165260950 (or 165260944 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 41024341240240 its reverse (4204214342014), we get a palindrome (45228555582254).

The spelling of 41024341240240 in words is "forty-one trillion, twenty-four billion, three hundred forty-one million, two hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 107 116 145 214 232 290 428 464 535 580 856 1070 1160 1712 2140 2320 3103 4280 6206 8560 12412 15515 24824 31030 49648 62060 124120 248240 165260801 330521602 661043204 826304005 1322086408 1652608010 2644172816 3305216020 4792563229 6610432040 9585126458 13220864080 17682905707 19170252916 23962816145 35365811414 38340505832 47925632290 70731622828 76681011664 88414528535 95851264580 141463245656 176829057070 191702529160 282926491312 353658114140 383405058320 512804265503 707316228280 1025608531006 1414632456560 2051217062012 2564021327515 4102434124024 5128042655030 8204868248048 10256085310060 20512170620120 41024341240240