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1241040444 = 2237212716619
BaseRepresentation
bin100100111111000…
…1100011000111100
310012111020101102220
41021332030120330
510020201243234
6323051445340
742516445500
oct11176143074
93174211386
101241040444
11587598066
122a7756850
1316a163777
14bab74300
1573e45a49
hex49f8c63c

1241040444 has 72 divisors (see below), whose sum is σ = 3395266560. Its totient is φ = 351769824.

The previous prime is 1241040433. The next prime is 1241040457. The reversal of 1241040444 is 4440401421.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66367 + ... + 82985.

It is an arithmetic number, because the mean of its divisors is an integer number (47156480).

Almost surely, 21241040444 is an apocalyptic number.

1241040444 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 1241040444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697633280).

1241040444 is an abundant number, since it is smaller than the sum of its proper divisors (2154226116).

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

1241040444 is a wasteful number, since it uses less digits than its factorization.

1241040444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16767 (or 16758 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 1241040444 is about 35228.4039377318. The cubic root of 1241040444 is about 1074.6374675137.

Adding to 1241040444 its reverse (4440401421), we get a palindrome (5681441865).

The spelling of 1241040444 in words is "one billion, two hundred forty-one million, forty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 127 147 196 254 294 381 508 588 762 889 1524 1778 2667 3556 5334 6223 10668 12446 16619 18669 24892 33238 37338 49857 66476 74676 99714 116333 199428 232666 348999 465332 697998 814331 1395996 1628662 2110613 2442993 3257324 4221226 4885986 6331839 8442452 9771972 12663678 14774291 25327356 29548582 44322873 59097164 88645746 103420037 177291492 206840074 310260111 413680148 620520222 1241040444