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41140344300 = 223521113989689
BaseRepresentation
bin100110010100001001…
…111101010111101100
310221012010211000210120
4212110021331113230
51133223412004200
630522152204540
72654332104516
oct462411752754
9127163730716
1041140344300
11164a1719650
127b81999750
133b583ba6c3
141dc3c0cbb6
15110bb8b9a0
hex99427d5ec

41140344300 has 144 divisors (see below), whose sum is σ = 130789545600. Its totient is φ = 9901555200.

The previous prime is 41140344247. The next prime is 41140344337. The reversal of 41140344300 is 344304114.

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 47 ways as a sum of consecutive naturals, for example, 413856 + ... + 503544.

Almost surely, 241140344300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41140344300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65394772800).

41140344300 is an abundant number, since it is smaller than the sum of its proper divisors (89649201300).

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

41140344300 is a wasteful number, since it uses less digits than its factorization.

41140344300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89856 (or 89849 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 41140344300 its reverse (344304114), we get a palindrome (41484648414).

The spelling of 41140344300 in words is "forty-one billion, one hundred forty million, three hundred forty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 139 150 165 220 275 278 300 330 417 550 556 660 695 825 834 1100 1390 1529 1650 1668 2085 2780 3058 3300 3475 4170 4587 6116 6950 7645 8340 9174 10425 13900 15290 18348 20850 22935 30580 38225 41700 45870 76450 89689 91740 114675 152900 179378 229350 269067 358756 448445 458700 538134 896890 986579 1076268 1345335 1793780 1973158 2242225 2690670 2959737 3946316 4484450 4932895 5381340 5919474 6726675 8968900 9865790 11838948 12466771 13453350 14798685 19731580 24664475 24933542 26906700 29597370 37400313 49328950 49867084 59194740 62333855 73993425 74800626 98657900 124667710 137134481 147986850 149601252 187001565 249335420 274268962 295973700 311669275 374003130 411403443 548537924 623338550 685672405 748006260 822806886 935007825 1246677100 1371344810 1645613772 1870015650 2057017215 2742689620 3428362025 3740031300 4114034430 6856724050 8228068860 10285086075 13713448100 20570172150 41140344300