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41304254100 = 22352734574127
BaseRepresentation
bin100110011101111011…
…001110011010010100
310221121120020111202220
4212131323032122110
51134042342112400
630550325302340
72661362236614
oct463573163224
9127546214686
1041304254100
11165761a149a
1280088649b0
133b83349955
141ddb8b8a44
15111b2677a0
hex99dece694

41304254100 has 144 divisors (see below), whose sum is σ = 121438560768. Its totient is φ = 10837186560.

The previous prime is 41304254093. The next prime is 41304254113. The reversal of 41304254100 is 145240314.

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, 10006237 + ... + 10010363.

Almost surely, 241304254100 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 41304254100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60719280384).

41304254100 is an abundant number, since it is smaller than the sum of its proper divisors (80134306668).

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

41304254100 is a wasteful number, since it uses less digits than its factorization.

41304254100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4674 (or 4667 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 41304254100 its reverse (145240314), we get a palindrome (41449494414).

The spelling of 41304254100 in words is "forty-one billion, three hundred four million, two hundred fifty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 73 75 100 146 150 219 292 300 365 438 457 730 876 914 1095 1371 1460 1825 1828 2190 2285 2742 3650 4127 4380 4570 5475 5484 6855 7300 8254 9140 10950 11425 12381 13710 16508 20635 21900 22850 24762 27420 33361 34275 41270 45700 49524 61905 66722 68550 82540 100083 103175 123810 133444 137100 166805 200166 206350 247620 301271 309525 333610 400332 412700 500415 602542 619050 667220 834025 903813 1000830 1205084 1238100 1506355 1668050 1807626 1886039 2001660 2502075 3012710 3336100 3615252 3772078 4519065 5004150 5658117 6025420 7531775 7544156 9038130 9430195 10008300 11316234 15063550 18076260 18860390 22595325 22632468 28290585 30127100 37720780 45190650 47150975 56581170 90381300 94301950 113162340 137680847 141452925 188603900 275361694 282905850 413042541 550723388 565811700 688404235 826085082 1376808470 1652170164 2065212705 2753616940 3442021175 4130425410 6884042350 8260850820 10326063525 13768084700 20652127050 41304254100