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41104814100 = 223527103918839
BaseRepresentation
bin100110010010000010…
…011011000000010100
310221002122221220112020
4212102002123000110
51133140313022400
630514442453140
72653421104110
oct462202330024
9127078856466
1041104814100
1116483661249
127b71b041b0
133b50c2a50c
141dbd200740
1511089be2a0
hex99209b014

41104814100 has 144 divisors (see below), whose sum is σ = 136057958400. Its totient is φ = 9385845120.

The previous prime is 41104814099. The next prime is 41104814129. The reversal of 41104814100 is 141840114.

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, 2172481 + ... + 2191319.

Almost surely, 241104814100 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 41104814100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68028979200).

41104814100 is an abundant number, since it is smaller than the sum of its proper divisors (94953144300).

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

41104814100 is a wasteful number, since it uses less digits than its factorization.

41104814100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19902 (or 19895 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The spelling of 41104814100 in words is "forty-one billion, one hundred four million, eight hundred fourteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1039 1050 2078 2100 3117 4156 5195 6234 7273 10390 12468 14546 15585 18839 20780 21819 25975 29092 31170 36365 37678 43638 51950 56517 62340 72730 75356 77925 87276 94195 103900 109095 113034 131873 145460 155850 181825 188390 218190 226068 263746 282585 311700 363650 376780 395619 436380 470975 527492 545475 565170 659365 727300 791238 941950 1090950 1130340 1318730 1412925 1582476 1883900 1978095 2181900 2637460 2825850 3296825 3956190 5651700 6593650 7912380 9890475 13187300 19573721 19780950 39147442 39561900 58721163 78294884 97868605 117442326 137016047 195737210 234884652 274032094 293605815 391474420 411048141 489343025 548064188 587211630 685080235 822096282 978686050 1174423260 1370160470 1468029075 1644192564 1957372100 2055240705 2740320940 2936058150 3425401175 4110481410 5872116300 6850802350 8220962820 10276203525 13701604700 20552407050 41104814100