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404250423424 = 27172116171427
BaseRepresentation
bin1011110000111110011…
…00111111000010000000
31102122102220111020210121
411320133030333002000
523110401102022144
6505413213310024
741130462622021
oct5703714770200
91378386436717
10404250423424
11146494909431
126641a795314
132c1750c00a3
14157cc8a2c48
15a7aeb38384
hex5e1f33f080

404250423424 has 128 divisors (see below), whose sum is σ = 858746992320. Its totient is φ = 188894576640.

The previous prime is 404250423419. The next prime is 404250423439. The reversal of 404250423424 is 424324052404.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 404250423424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283286199 + ... + 283287625.

Almost surely, 2404250423424 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 404250423424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429373496160).

404250423424 is an abundant number, since it is smaller than the sum of its proper divisors (454496568896).

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

404250423424 is a wasteful number, since it uses less digits than its factorization.

404250423424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2286 (or 2274 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 34.

Adding to 404250423424 its reverse (424324052404), we get a palindrome (828574475828).

The spelling of 404250423424 in words is "four hundred four billion, two hundred fifty million, four hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 211 272 422 544 617 844 1088 1234 1427 1688 2176 2468 2854 3376 3587 4936 5708 6752 7174 9872 10489 11416 13504 14348 19744 20978 22832 24259 27008 28696 39488 41956 45664 48518 57392 78976 83912 91328 97036 114784 130187 167824 182656 194072 229568 260374 301097 335648 388144 459136 520748 602194 671296 776288 880459 1041496 1204388 1342592 1552576 1760918 2082992 2213179 2408776 3105152 3521836 4165984 4426358 4817552 5118649 7043672 8331968 8852716 9635104 10237298 14087344 14967803 16663936 17705432 19270208 20474596 28174688 29935606 35410864 38540416 40949192 56349376 59871212 70821728 81898384 112698752 119742424 141643456 163796768 185776849 239484848 283286912 327593536 371553698 478969696 655187072 743107396 957939392 1486214792 1915878784 2972429584 3158206433 5944859168 6316412866 11889718336 12632825732 23779436672 25265651464 50531302928 101062605856 202125211712 404250423424