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404841747420 = 2232511539937871
BaseRepresentation
bin1011110010000100111…
…00101101001111011100
31102200222010011121211100
411321002130231033130
523113103441404140
6505552015353100
741151233034465
oct5710234551734
91380863147740
10404841747420
11146768680950
1266564822790
132c23a76b946
141584722bd6c
15a7e69e0530
hex5e4272d3dc

404841747420 has 144 divisors (see below), whose sum is σ = 1339941657600. Its totient is φ = 98122684800.

The previous prime is 404841747407. The next prime is 404841747481. The reversal of 404841747420 is 24747148404.

404841747420 is a `hidden beast` number, since 404 + 8 + 4 + 174 + 74 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 10671085 + ... + 10708955.

It is an arithmetic number, because the mean of its divisors is an integer number (9305150400).

Almost surely, 2404841747420 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 404841747420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669970828800).

404841747420 is an abundant number, since it is smaller than the sum of its proper divisors (935099910180).

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

404841747420 is a wasteful number, since it uses less digits than its factorization.

404841747420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43296 (or 43291 counting only the distinct ones).

The product of its (nonzero) digits is 802816, while the sum is 45.

The spelling of 404841747420 in words is "four hundred four billion, eight hundred forty-one million, seven hundred forty-seven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 5399 10798 16197 21596 26995 32394 37871 48591 53990 59389 64788 75742 80985 97182 107980 113613 118778 151484 161970 178167 189355 194364 227226 237556 242955 296945 323940 340839 356334 378710 416581 454452 485910 534501 568065 593890 681678 712668 757420 833162 890835 971820 1069002 1136130 1187780 1249743 1363356 1666324 1704195 1781670 2082905 2138004 2272260 2499486 2672505 3408390 3563340 3749229 4165810 4998972 5345010 6248715 6816780 7498458 8331620 10690020 12497430 14996916 18746145 24994860 37492290 74984580 204465529 408931058 613396587 817862116 1022327645 1226793174 1840189761 2044655290 2249120819 2453586348 3066982935 3680379522 4089310580 4498241638 6133965870 6747362457 7360759044 8996483276 9200948805 11245604095 12267931740 13494724914 18401897610 20242087371 22491208190 26989449828 33736812285 36803795220 40484174742 44982416380 67473624570 80968349484 101210436855 134947249140 202420873710 404841747420