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1041443440 = 245371931823
BaseRepresentation
bin111110000100110…
…010101001110000
32200120122210211021
4332010302221300
54113102142230
6251201425224
734544060152
oct7604625160
92616583737
101041443440
1149495a964
1225093b214
131379baa2b
149c458ad2
156166ac7a
hex3e132a70

1041443440 has 80 divisors (see below), whose sum is σ = 2501054208. Its totient is φ = 402997248.

The previous prime is 1041443399. The next prime is 1041443441. The reversal of 1041443440 is 443441401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1041443441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 570369 + ... + 572191.

Almost surely, 21041443440 is an apocalyptic number.

1041443440 is a gapful number since it is divisible by the number (10) 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 1041443440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250527104).

1041443440 is an abundant number, since it is smaller than the sum of its proper divisors (1459610768).

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

1041443440 is a wasteful number, since it uses less digits than its factorization.

1041443440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2066 (or 2060 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 1041443440 is about 32271.4028204539. The cubic root of 1041443440 is about 1013.6279162396.

Adding to 1041443440 its reverse (443441401), we get a palindrome (1484884841).

It can be divided in two parts, 104144 and 3440, that added together give a square (107584 = 3282).

The spelling of 1041443440 in words is "one billion, forty-one million, four hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 193 296 370 386 592 740 772 965 1480 1544 1823 1930 2960 3088 3646 3860 7141 7292 7720 9115 14282 14584 15440 18230 28564 29168 35705 36460 57128 67451 71410 72920 114256 134902 142820 145840 269804 285640 337255 351839 539608 571280 674510 703678 1079216 1349020 1407356 1759195 2698040 2814712 3518390 5396080 5629424 7036780 13018043 14073560 26036086 28147120 52072172 65090215 104144344 130180430 208288688 260360860 520721720 1041443440