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41111341020 = 2234589285139
BaseRepresentation
bin100110010010011011…
…010100011111011100
310221010010020111210000
4212102123110133130
51133144000403040
630515234414300
72653530430041
oct462233243734
9127103214700
1041111341020
1116487309aa2
127b74131390
133b523a42b9
141dc001d1c8
15110935d130
hex9926d47dc

41111341020 has 120 divisors (see below), whose sum is σ = 130417333200. Its totient is φ = 10839806208.

The previous prime is 41111341003. The next prime is 41111341031. The reversal of 41111341020 is 2014311114.

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

It is a junction number, because it is equal to n+sod(n) for n = 41111340984 and 41111341002.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 1611 + ... + 286749.

It is an arithmetic number, because the mean of its divisors is an integer number (1086811110).

Almost surely, 241111341020 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 41111341020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65208666600).

41111341020 is an abundant number, since it is smaller than the sum of its proper divisors (89305992180).

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

41111341020 is a wasteful number, since it uses less digits than its factorization.

41111341020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285249 (or 285238 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 41111341020 its reverse (2014311114), we get a palindrome (43125652134).

The spelling of 41111341020 in words is "forty-one billion, one hundred eleven million, three hundred forty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 89 90 108 135 162 178 180 267 270 324 356 405 445 534 540 801 810 890 1068 1335 1602 1620 1780 2403 2670 3204 4005 4806 5340 7209 8010 9612 12015 14418 16020 24030 28836 36045 48060 72090 144180 285139 570278 855417 1140556 1425695 1710834 2566251 2851390 3421668 4277085 5132502 5702780 7698753 8554170 10265004 12831255 15397506 17108340 23096259 25377371 25662510 30795012 38493765 46192518 50754742 51325020 76132113 76987530 92385036 101509484 115481295 126886855 152264226 153975060 228396339 230962590 253773710 304528452 380660565 456792678 461925180 507547420 685189017 761321130 913585356 1141981695 1370378034 1522642260 2055567051 2283963390 2740756068 3425945085 4111134102 4567926780 6851890170 8222268204 10277835255 13703780340 20555670510 41111341020