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41144358200 = 23521127169011
BaseRepresentation
bin100110010100011001…
…010001010100111000
310221012102100221211112
4212110121101110320
51133230423430300
630522414215452
72654411163041
oct462431212470
9127172327745
1041144358200
11164a3a10320
127b831b4588
133b591946aa
141dc45758c8
15110c1d0e35
hex994651538

41144358200 has 96 divisors (see below), whose sum is σ = 104743653120. Its totient is φ = 14906160000.

The previous prime is 41144358181. The next prime is 41144358247. The reversal of 41144358200 is 285344114.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 561695 + ... + 630705.

It is an arithmetic number, because the mean of its divisors is an integer number (1091079720).

Almost surely, 241144358200 is an apocalyptic number.

41144358200 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 41144358200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52371826560).

41144358200 is an abundant number, since it is smaller than the sum of its proper divisors (63599294920).

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

41144358200 is a wasteful number, since it uses less digits than its factorization.

41144358200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69309 (or 69300 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The spelling of 41144358200 in words is "forty-one billion, one hundred forty-four million, three hundred fifty-eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 271 275 440 542 550 1084 1100 1355 2168 2200 2710 2981 5420 5962 6775 10840 11924 13550 14905 23848 27100 29810 54200 59620 69011 74525 119240 138022 149050 276044 298100 345055 552088 596200 690110 759121 1380220 1518242 1725275 2760440 3036484 3450550 3795605 6072968 6901100 7591210 13802200 15182420 18701981 18978025 30364840 37403962 37956050 74807924 75912100 93509905 149615848 151824200 187019810 205721791 374039620 411443582 467549525 748079240 822887164 935099050 1028608955 1645774328 1870198100 2057217910 3740396200 4114435820 5143044775 8228871640 10286089550 20572179100 41144358200