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41244140040 = 23352397154057
BaseRepresentation
bin100110011010010101…
…111010001000001000
310221110101010101210020
4212122111322020020
51133431444440130
630540341020440
72660032256145
oct463225721010
9127411111706
1041244140040
1116545272954
127bb06b4720
133b73a5cabc
141dd390b3cc
151115d40e10
hex99a57a208

41244140040 has 128 divisors (see below), whose sum is σ = 130443989760. Its totient is φ = 10411720704.

The previous prime is 41244140027. The next prime is 41244140087. The reversal of 41244140040 is 4004144214.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190692 + ... + 344748.

It is an arithmetic number, because the mean of its divisors is an integer number (1019093670).

Almost surely, 241244140040 is an apocalyptic number.

41244140040 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 41244140040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65221994880).

41244140040 is an abundant number, since it is smaller than the sum of its proper divisors (89199849720).

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

41244140040 is a wasteful number, since it uses less digits than its factorization.

41244140040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154191 (or 154187 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 41244140040 its reverse (4004144214), we get a palindrome (45248284254).

The spelling of 41244140040 in words is "forty-one billion, two hundred forty-four million, one hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 97 115 120 138 184 194 230 276 291 345 388 460 485 552 582 690 776 920 970 1164 1380 1455 1940 2231 2328 2760 2910 3880 4462 5820 6693 8924 11155 11640 13386 17848 22310 26772 33465 44620 53544 66930 89240 133860 154057 267720 308114 462171 616228 770285 924342 1232456 1540570 1848684 2310855 3081140 3543311 3697368 4621710 6162280 7086622 9243420 10629933 14173244 14943529 17716555 18486840 21259866 28346488 29887058 35433110 42519732 44830587 53149665 59774116 70866220 74717645 85039464 89661174 106299330 119548232 141732440 149435290 179322348 212598660 224152935 298870580 343701167 358644696 425197320 448305870 597741160 687402334 896611740 1031103501 1374804668 1718505835 1793223480 2062207002 2749609336 3437011670 4124414004 5155517505 6874023340 8248828008 10311035010 13748046680 20622070020 41244140040