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1041444404 = 2271113298969
BaseRepresentation
bin111110000100110…
…010111000110100
32200120122212010222
4332010302320310
54113102210104
6251201433512
734544063030
oct7604627064
92616585128
101041444404
11494960660
1225093b898
131379bb2c0
149c4591c0
156166b1be
hex3e132e34

1041444404 has 96 divisors (see below), whose sum is σ = 2531692800. Its totient is φ = 361589760.

The previous prime is 1041444337. The next prime is 1041444419. The reversal of 1041444404 is 4044441401.

1041444404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 111632 + ... + 120600.

It is an arithmetic number, because the mean of its divisors is an integer number (26371800).

Almost surely, 21041444404 is an apocalyptic number.

1041444404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1041444404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265846400).

1041444404 is an abundant number, since it is smaller than the sum of its proper divisors (1490248396).

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

1041444404 is a wasteful number, since it uses less digits than its factorization.

1041444404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9033 (or 9031 counting only the distinct ones).

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

The square root of 1041444404 is about 32271.4177562747. The cubic root of 1041444404 is about 1013.6282289905.

Adding to 1041444404 its reverse (4044441401), we get a palindrome (5085885805).

It can be divided in two parts, 10 and 41444404, that added together give a palindrome (41444414).

The spelling of 1041444404 in words is "one billion, forty-one million, four hundred forty-four thousand, four hundred four".

Divisors: 1 2 4 7 11 13 14 22 26 28 29 44 52 58 77 91 116 143 154 182 203 286 308 319 364 377 406 572 638 754 812 1001 1276 1508 2002 2233 2639 4004 4147 4466 5278 8294 8932 8969 10556 16588 17938 29029 35876 58058 62783 98659 116116 116597 125566 197318 233194 251132 260101 394636 466388 520202 690613 816179 1040404 1282567 1381226 1632358 1820707 2565134 2762452 2861111 3264716 3381313 3641414 5130268 5722222 6762626 7282828 8977969 11444444 13525252 17955938 20027777 23669191 35911876 37194443 40055554 47338382 74388886 80111108 94676764 148777772 260361101 520722202 1041444404