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404141141404 = 2272111314419193
BaseRepresentation
bin1011110000110001011…
…00000110110110011100
31102122011021212011001101
411320120230012312130
523110140113011104
6505354311122444
741124665010400
oct5703054066634
91378137764041
10404141141404
11146439158210
12663aa073424
132c158579780
14157bc177100
15a7a524d5a4
hex5e18b06d9c

404141141404 has 72 divisors (see below), whose sum is σ = 966547412208. Its totient is φ = 145345455360.

The previous prime is 404141141399. The next prime is 404141141447.

It is a happy number.

404141141404 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 7181569 + ... + 7237624.

It is an arithmetic number, because the mean of its divisors is an integer number (13424269614).

Almost surely, 2404141141404 is an apocalyptic number.

404141141404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

404141141404 is an abundant number, since it is smaller than the sum of its proper divisors (562406270804).

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

404141141404 is a wasteful number, since it uses less digits than its factorization.

404141141404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14419235 (or 14419226 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

It can be divided in two parts, 404141 and 141404, that added together give a palindrome (545545).

The spelling of 404141141404 in words is "four hundred four billion, one hundred forty-one million, one hundred forty-one thousand, four hundred four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 49 52 77 91 98 143 154 182 196 286 308 364 539 572 637 1001 1078 1274 2002 2156 2548 4004 7007 14014 28028 14419193 28838386 57676772 100934351 158611123 187449509 201868702 317222246 374899018 403737404 634444492 706540457 749798036 1110277861 1312146563 1413080914 2061944599 2220555722 2624293126 2826161828 4123889198 4441111444 5248586252 7771945027 8247778396 9185025941 14433612193 15543890054 18370051882 28867224386 31087780108 36740103764 57734448772 101035285351 202070570702 404141141404