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404000240016 = 24397810110711
BaseRepresentation
bin1011110000100000100…
…10100111000110010000
31102121210110201121200110
411320100102213012100
523104343030140031
6505332315121320
741121334244232
oct5702022470620
91377713647613
10404000240016
1114637666a98a
126636aa43240
132c135315079
14157a757a252
15a797bb9c46
hex5e104a7190

404000240016 has 80 divisors (see below), whose sum is σ = 1054655358848. Its totient is φ = 133249536000.

The previous prime is 404000240003. The next prime is 404000240023. The reversal of 404000240016 is 610042000404.

It is a junction number, because it is equal to n+sod(n) for n = 404000239974 and 404000240001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37712901 + ... + 37723611.

Almost surely, 2404000240016 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 404000240016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527327679424).

404000240016 is an abundant number, since it is smaller than the sum of its proper divisors (650655118832).

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

404000240016 is a wasteful number, since it uses less digits than its factorization.

404000240016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18920 (or 18914 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The spelling of 404000240016 in words is "four hundred four billion, two hundred forty thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 97 194 291 388 582 776 1164 1552 2328 4656 8101 10711 16202 21422 24303 32133 32404 42844 48606 64266 64808 85688 97212 128532 129616 171376 194424 257064 388848 514128 785797 1038967 1571594 2077934 2357391 3116901 3143188 4155868 4714782 6233802 6286376 8311736 9429564 12467604 12572752 16623472 18859128 24935208 37718256 49870416 86769811 173539622 260309433 347079244 520618866 694158488 1041237732 1388316976 2082475464 4164950928 8416671667 16833343334 25250015001 33666686668 50500030002 67333373336 101000060004 134666746672 202000120008 404000240016