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404212212404 = 2271113100952101
BaseRepresentation
bin1011110000111001110…
…11001110001010110100
31102122100020120221010122
411320130323032022310
523110311311244104
6505405330311112
741126520054440
oct5703473161264
91378306527118
10404212212404
1114647528a980
1266409a28498
132c16a201910
14157c7797820
15a7ab5db6be
hex5e1cece2b4

404212212404 has 48 divisors (see below), whose sum is σ = 949757375616. Its totient is φ = 145371024000.

The previous prime is 404212212367. The next prime is 404212212427.

It is a happy number.

404212212404 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4042122124042 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

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, 50472047 + ... + 50480054.

It is an arithmetic number, because the mean of its divisors is an integer number (19786611992).

Almost surely, 2404212212404 is an apocalyptic number.

404212212404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

404212212404 is an abundant number, since it is smaller than the sum of its proper divisors (545545163212).

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

404212212404 is a wasteful number, since it uses less digits than its factorization.

404212212404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100952136 (or 100952134 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

It can be divided in two parts, 404212 and 212404, that added together give a palindrome (616616).

The spelling of 404212212404 in words is "four hundred four billion, two hundred twelve million, two hundred twelve thousand, four hundred four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 4004 100952101 201904202 403808404 706664707 1110473111 1312377313 1413329414 2220946222 2624754626 2826658828 4441892444 5249509252 7773311777 9186641191 14436150443 15546623554 18373282382 28872300886 31093247108 36746564764 57744601772 101053053101 202106106202 404212212404