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404212211424 = 25327200502089
BaseRepresentation
bin1011110000111001110…
…11001101111011100000
31102122100020120212210100
411320130323031323200
523110311311231144
6505405330302400
741126520051540
oct5703473157340
91378306525710
10404212211424
1114647528a16a
1266409a27a00
132c16a201338
14157c7797320
15a7ab5db269
hex5e1cecdee0

404212211424 has 72 divisors (see below), whose sum is σ = 1313689693680. Its totient is φ = 115489202688.

The previous prime is 404212211411. The next prime is 404212211479. The reversal of 404212211424 is 424112212404.

404212211424 is a `hidden beast` number, since 4 + 0 + 4 + 21 + 2 + 211 + 424 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×4042122114242 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100249029 + ... + 100253060.

It is an arithmetic number, because the mean of its divisors is an integer number (18245690190).

Almost surely, 2404212211424 is an apocalyptic number.

It is an amenable number.

404212211424 is an abundant number, since it is smaller than the sum of its proper divisors (909477482256).

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

404212211424 is a wasteful number, since it uses less digits than its factorization.

404212211424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200502112 (or 200502101 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 404212211424 its reverse (424112212404), we get a palindrome (828324423828).

The spelling of 404212211424 in words is "four hundred four billion, two hundred twelve million, two hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 200502089 401004178 601506267 802008356 1203012534 1403514623 1604016712 1804518801 2406025068 2807029246 3208033424 3609037602 4210543869 4812050136 5614058492 6416066848 7218075204 8421087738 9624100272 11228116984 12631631607 14436150408 16842175476 19248200544 22456233968 25263263214 28872300816 33684350952 44912467936 50526526428 57744601632 67368701904 101053052856 134737403808 202106105712 404212211424