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404011316214 = 233111744989107
BaseRepresentation
bin1011110000100001111…
…00110111001111110110
31102121211020120100101000
411320100330313033312
523104403344104324
6505333352344130
741121530345322
oct5702074671766
91377736510330
10404011316214
11146381945670
12663726a5046
132c1376c272c
14157a8c20982
15a798b569c9
hex5e10f373f6

404011316214 has 128 divisors (see below), whose sum is σ = 1039355712000. Its totient is φ = 114968125440.

The previous prime is 404011316209. The next prime is 404011316237. The reversal of 404011316214 is 412613110404.

404011316214 is a `hidden beast` number, since 4 + 0 + 4 + 0 + 1 + 1 + 31 + 621 + 4 = 666.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4489449 + ... + 4578555.

It is an arithmetic number, because the mean of its divisors is an integer number (8119966500).

Almost surely, 2404011316214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404011316214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519677856000).

404011316214 is an abundant number, since it is smaller than the sum of its proper divisors (635344395786).

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

404011316214 is a wasteful number, since it uses less digits than its factorization.

404011316214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89595 (or 89589 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 404011316214 its reverse (412613110404), we get a palindrome (816624426618).

The spelling of 404011316214 in words is "four hundred four billion, eleven million, three hundred sixteen thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 99 102 153 187 198 297 306 374 449 459 561 594 898 918 1122 1347 1683 2694 3366 4041 4939 5049 7633 8082 9878 10098 12123 14817 15266 22899 24246 29634 44451 45798 68697 83963 88902 89107 133353 137394 167926 178214 206091 251889 266706 267321 412182 503778 534642 755667 801963 980177 1511334 1514819 1603926 1960354 2267001 2405889 2940531 3029638 4534002 4544457 4811778 5881062 8821593 9088914 13633371 16663009 17643186 26464779 27266742 33326018 40009043 40900113 49989027 52929558 80018086 81800226 99978054 120027129 149967081 240054258 299934162 360081387 440099473 449901243 680153731 720162774 880198946 899802486 1080244161 1320298419 1360307462 2040461193 2160488322 2640596838 3960895257 4080922386 6121383579 7481691041 7921790514 11882685771 12242767158 14963382082 18364150737 22445073123 23765371542 36728301474 44890146246 67335219369 134670438738 202005658107 404011316214