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41013004300 = 225223151269439
BaseRepresentation
bin100110001100100100…
…001100100000001100
310220212021012111011021
4212030210030200030
51132443312114200
630501403003524
72651224533052
oct461444144014
9126767174137
1041013004300
1116436854184
127b472095a4
133b37bc38a8
141db0d421d2
1511008d641a
hex98c90c80c

41013004300 has 144 divisors (see below), whose sum is σ = 94043980800. Its totient is φ = 15494688000.

The previous prime is 41013004289. The next prime is 41013004337. The reversal of 41013004300 is 340031014.

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, 93423481 + ... + 93423919.

It is an arithmetic number, because the mean of its divisors is an integer number (653083200).

Almost surely, 241013004300 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 41013004300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47021990400).

41013004300 is an abundant number, since it is smaller than the sum of its proper divisors (53030976500).

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

41013004300 is a wasteful number, since it uses less digits than its factorization.

41013004300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 41013004300 its reverse (340031014), we get a palindrome (41353035314).

The spelling of 41013004300 in words is "forty-one billion, thirteen million, four thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 151 230 269 302 439 460 538 575 604 755 878 1076 1150 1345 1510 1756 2195 2300 2690 3020 3473 3775 4390 5380 6187 6725 6946 7550 8780 10097 10975 12374 13450 13892 15100 17365 20194 21950 24748 26900 30935 34730 40388 40619 43900 50485 61870 66289 69460 81238 86825 100970 118091 123740 132578 154675 162476 173650 201940 203095 236182 252425 265156 309350 331445 347300 406190 472364 504850 590455 618700 662890 812380 934237 1009700 1015475 1180910 1325780 1524647 1657225 1868474 2030950 2361820 2716093 2952275 3049294 3314450 3736948 4061900 4671185 5432186 5904550 6098588 6628900 7623235 9342370 10864372 11809100 13580465 15246470 17831741 18684740 23355925 27160930 30492940 35663482 38116175 46711850 54321860 67902325 71326964 76232350 89158705 93423700 135804650 152464700 178317410 271609300 356634820 410130043 445793525 820260086 891587050 1640520172 1783174100 2050650215 4101300430 8202600860 10253251075 20506502150 41013004300