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41111105904 = 24331119455333
BaseRepresentation
bin100110010010011010…
…011011000101110000
310221010002210120021000
4212102122123011300
51133143420342104
630515225402000
72653525430421
oct462232330560
9127102716230
1041111105904
1116487169390
127b74039300
133b5232128b
141dbdd9b648
151109313639
hex99269b170

41111105904 has 160 divisors (see below), whose sum is σ = 135507398400. Its totient is φ = 11802205440.

The previous prime is 41111105887. The next prime is 41111105909. The reversal of 41111105904 is 40950111114.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41111105909) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137379 + ... + 317954.

It is an arithmetic number, because the mean of its divisors is an integer number (846921240).

Almost surely, 241111105904 is an apocalyptic number.

41111105904 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

41111105904 is an abundant number, since it is smaller than the sum of its proper divisors (94396292496).

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

41111105904 is a wasteful number, since it uses less digits than its factorization.

41111105904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455380 (or 455368 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The spelling of 41111105904 in words is "forty-one billion, one hundred eleven million, one hundred five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 19 22 24 27 33 36 38 44 48 54 57 66 72 76 88 99 108 114 132 144 152 171 176 198 209 216 228 264 297 304 342 396 418 432 456 513 528 594 627 684 792 836 912 1026 1188 1254 1368 1584 1672 1881 2052 2376 2508 2736 3344 3762 4104 4752 5016 5643 7524 8208 10032 11286 15048 22572 30096 45144 90288 455333 910666 1365999 1821332 2731998 3642664 4097997 5008663 5463996 7285328 8195994 8651327 10017326 10927992 12293991 15025989 16391988 17302654 20034652 21855984 24587982 25953981 30051978 32783976 34605308 40069304 45077967 49175964 51907962 60103956 65567952 69210616 77861943 80138608 90155934 95164597 98351928 103815924 120207912 135233901 138421232 155723886 180311868 190329194 196703856 207631848 233585829 240415824 270467802 285493791 311447772 360623736 380658388 415263696 467171658 540935604 570987582 622895544 721247472 761316776 856481373 934343316 1081871208 1141975164 1245791088 1522633552 1712962746 1868686632 2163742416 2283950328 2569444119 3425925492 3737373264 4567900656 5138888238 6851850984 10277776476 13703701968 20555552952 41111105904