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404666045112 = 23376157176907
BaseRepresentation
bin1011110001101111111…
…10011101001010111000
31102200111212120000120110
411320313332131022320
523112224001420422
6505522341424320
741144000426040
oct5706776351270
91380455500513
10404666045112
1114668848412a
1266515a0b0a0
132c210240c94
141582bb72720
15a7d638560c
hex5e37f9d2b8

404666045112 has 128 divisors (see below), whose sum is σ = 1175518333440. Its totient is φ = 113687124480.

The previous prime is 404666045111. The next prime is 404666045123. The reversal of 404666045112 is 211540666404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404666045111) 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, 58584363 + ... + 58591269.

It is an arithmetic number, because the mean of its divisors is an integer number (9183736980).

Almost surely, 2404666045112 is an apocalyptic number.

404666045112 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404666045112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587759166720).

404666045112 is an abundant number, since it is smaller than the sum of its proper divisors (770852288328).

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

404666045112 is a wasteful number, since it uses less digits than its factorization.

404666045112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12701 (or 12697 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 404666045112 in words is "four hundred four billion, six hundred sixty-six million, forty-five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 61 84 122 168 183 244 366 427 488 732 854 1281 1464 1708 2562 3416 5124 5717 6907 10248 11434 13814 17151 20721 22868 27628 34302 40019 41442 45736 48349 55256 68604 80038 82884 96698 120057 137208 145047 160076 165768 193396 240114 290094 320152 348737 386792 421327 480228 580188 697474 842654 960456 1046211 1160376 1263981 1394948 1685308 2092422 2441159 2527962 2789896 2949289 3370616 4184844 4882318 5055924 5898578 7323477 8369688 8847867 9764636 10111848 11797156 14646954 17695734 19529272 23594312 29293908 35391468 39487319 58587816 70782936 78974638 118461957 157949276 236923914 276411233 315898552 473847828 552822466 829233699 947695656 1105644932 1658467398 2211289864 2408726459 3316934796 4817452918 6633869592 7226179377 9634905836 14452358754 16861085213 19269811672 28904717508 33722170426 50583255639 57809435016 67444340852 101166511278 134888681704 202333022556 404666045112