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41540200200 = 233252112920441
BaseRepresentation
bin100110101011111111…
…010010011100001000
310222020000012210222100
4212223333102130020
51140033242401300
631025554353400
73000255606252
oct465377223410
9128200183870
1041540200200
11166873a6274
12807388b860
133bc01ab525
142020d76cd2
151131d22700
hex9abfd2708

41540200200 has 144 divisors (see below), whose sum is σ = 139636235700. Its totient is φ = 11067033600.

The previous prime is 41540200153. The next prime is 41540200223. The reversal of 41540200200 is 200204514.

It can be written as a sum of positive squares in 6 ways, for example, as 12746861604 + 28793338596 = 112902^2 + 169686^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2021980 + ... + 2042420.

Almost surely, 241540200200 is an apocalyptic number.

41540200200 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 41540200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69818117850).

41540200200 is an abundant number, since it is smaller than the sum of its proper divisors (98096035500).

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

41540200200 is a wasteful number, since it uses less digits than its factorization.

41540200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21592 (or 21580 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 41540200200 its reverse (200204514), we get a palindrome (41740404714).

The spelling of 41540200200 in words is "forty-one billion, five hundred forty million, two hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1129 1800 2258 3387 4516 5645 6774 9032 10161 11290 13548 16935 20322 20441 22580 27096 28225 33870 40644 40882 45160 50805 56450 61323 67740 81288 81764 84675 101610 102205 112900 122646 135480 163528 169350 183969 203220 204410 225800 245292 254025 306615 338700 367938 406440 408820 490584 508050 511025 613230 677400 735876 817640 919845 1016100 1022050 1226460 1471752 1533075 1839690 2032200 2044100 2452920 3066150 3679380 4088200 4599225 6132300 7358760 9198450 12264600 18396900 23077889 36793800 46155778 69233667 92311556 115389445 138467334 184623112 207701001 230778890 276934668 346168335 415402002 461557780 553869336 576947225 692336670 830804004 923115560 1038505005 1153894450 1384673340 1661608008 1730841675 2077010010 2307788900 2769346680 3461683350 4154020020 4615577800 5192525025 6923366700 8308040040 10385050050 13846733400 20770100100 41540200200