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404664445107 = 341323294313399
BaseRepresentation
bin1011110001101111110…
…00010110100010110011
31102200111202112201210000
411320313320112202303
523112223044220412
6505522243241043
741143651013226
oct5706770264263
91380452481700
10404664445107
1114668759100a
1266515379183
132c20cb00930
141582b8775bd
15a7d616b4dc
hex5e37e168b3

404664445107 has 160 divisors (see below), whose sum is σ = 719123328000. Its totient is φ = 224618220288.

The previous prime is 404664445069. The next prime is 404664445109. The reversal of 404664445107 is 701544466404.

404664445107 is a `hidden beast` number, since 4 + 0 + 46 + 64 + 445 + 107 = 666.

It is not a de Polignac number, because 404664445107 - 28 = 404664444851 is a prime.

It is not an unprimeable number, because it can be changed into a prime (404664445109) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 30194394 + ... + 30207792.

It is an arithmetic number, because the mean of its divisors is an integer number (4494520800).

Almost surely, 2404664445107 is an apocalyptic number.

404664445107 is a deficient number, since it is larger than the sum of its proper divisors (314458882893).

404664445107 is a wasteful number, since it uses less digits than its factorization.

404664445107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13519 (or 13510 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 404664445107 in words is "four hundred four billion, six hundred sixty-four million, four hundred forty-five thousand, one hundred seven".

Divisors: 1 3 9 13 23 27 29 39 43 69 81 87 117 129 207 261 299 351 377 387 559 621 667 783 897 989 1053 1131 1161 1247 1677 1863 2001 2349 2691 2967 3393 3483 3741 5031 6003 8073 8671 8901 10179 11223 12857 13399 15093 16211 18009 24219 26013 26703 28681 30537 33669 38571 40197 45279 48633 54027 78039 80109 86043 101007 115713 120591 145899 174187 234117 258129 308177 347139 361773 372853 388571 437697 522561 576157 702351 774387 924531 1041417 1085319 1118559 1165713 1313091 1567683 1728471 2323161 2773593 3355677 3497139 4006301 4703049 5051423 5185413 7490041 8320779 8937133 10067031 10491417 12018903 13251611 14109147 15154269 15556239 16708553 22470123 24962337 26811399 30201093 31474251 36056709 39754833 45462807 46668717 50125659 67410369 80434197 108170127 116182729 119264499 136388421 150376977 172270943 202231107 217211189 241302591 324510381 348548187 357793497 384296719 409165263 451130931 516812829 606693321 651633567 723907773 1045644561 1073380491 1152890157 1353392793 1550438487 1954900701 3136933683 3458670471 4651315461 4995857347 5864702103 9410801049 10376011413 13953946383 14987572041 17594106309 31128034239 44962716123 134888148369 404664445107