Search a number
-
+
41000413140 = 2235543196193
BaseRepresentation
bin100110001011110100…
…001010011111010100
310220211101111210100000
4212023310022133110
51132432101210030
630500233051300
72651012522121
oct461364123724
9126741453300
1041000413140
111642a734265
127b42b56b30
133b354057bb
141dad3c5748
1510ee74a860
hex98bd0a7d4

41000413140 has 144 divisors (see below), whose sum is σ = 131974210368. Its totient is φ = 10679122944.

The previous prime is 41000413099. The next prime is 41000413171. The reversal of 41000413140 is 4131400014.

41000413140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110884 + ... + 307076.

It is an arithmetic number, because the mean of its divisors is an integer number (916487572).

Almost surely, 241000413140 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 41000413140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65987105184).

41000413140 is an abundant number, since it is smaller than the sum of its proper divisors (90973797228).

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

41000413140 is a wasteful number, since it uses less digits than its factorization.

41000413140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196260 (or 196246 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 41000413140 its reverse (4131400014), we get a palindrome (45131813154).

The spelling of 41000413140 in words is "forty-one billion, four hundred thirteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 43 45 54 60 81 86 90 108 129 135 162 172 180 215 243 258 270 324 387 405 430 486 516 540 645 774 810 860 972 1161 1215 1290 1548 1620 1935 2322 2430 2580 3483 3870 4644 4860 5805 6966 7740 10449 11610 13932 17415 20898 23220 34830 41796 52245 69660 104490 196193 208980 392386 588579 784772 980965 1177158 1765737 1961930 2354316 2942895 3531474 3923860 5297211 5885790 7062948 8436299 8828685 10594422 11771580 15891633 16872598 17657370 21188844 25308897 26486055 31783266 33745196 35314740 42181495 47674899 50617794 52972110 63566532 75926691 79458165 84362990 95349798 101235588 105944220 126544485 151853382 158916330 168725980 190699596 227780073 238374495 253088970 303706764 317832660 379633455 455560146 476748990 506177940 683340219 759266910 911120292 953497980 1138900365 1366680438 1518533820 2050020657 2277800730 2733360876 3416701095 4100041314 4555601460 6833402190 8200082628 10250103285 13666804380 20500206570 41000413140