Search a number
-
+
41144550020 = 22576110314673
BaseRepresentation
bin100110010100011010…
…000000001010000100
310221012102201200221222
4212110122000022010
51133231001100040
630522422255512
72654412622220
oct462432001204
9127172650858
1041144550020
11164a4031452
127b83287598
133b59230ab2
141dc45c5780
15110c21cbb5
hex994680284

41144550020 has 96 divisors (see below), whose sum is σ = 100484568576. Its totient is φ = 13859020800.

The previous prime is 41144549993. The next prime is 41144550059. The reversal of 41144550020 is 2005544114.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8802404 + ... + 8807076.

It is an arithmetic number, because the mean of its divisors is an integer number (1046714256).

Almost surely, 241144550020 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 41144550020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50242284288).

41144550020 is an abundant number, since it is smaller than the sum of its proper divisors (59340018556).

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

41144550020 is a wasteful number, since it uses less digits than its factorization.

41144550020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5781 (or 5779 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The spelling of 41144550020 in words is "forty-one billion, one hundred forty-four million, five hundred fifty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 61 70 122 140 244 305 427 610 854 1031 1220 1708 2062 2135 4124 4270 4673 5155 7217 8540 9346 10310 14434 18692 20620 23365 28868 32711 36085 46730 62891 65422 72170 93460 125782 130844 144340 163555 251564 285053 314455 327110 440237 570106 628910 654220 880474 1140212 1257820 1425265 1760948 1995371 2201185 2850530 3990742 4402370 4817863 5701060 7981484 8804740 9635726 9976855 19271452 19953710 24089315 33725041 39907420 48178630 67450082 96357260 134900164 168625205 293889643 337250410 587779286 674500820 1175558572 1469448215 2057227501 2938896430 4114455002 5877792860 8228910004 10286137505 20572275010 41144550020