Search a number
-
+
1240011444 = 2237210719709
BaseRepresentation
bin100100111101001…
…0001001010110100
310012102022002220210
41021322101022310
510014420331234
6323013425420
742504631500
oct11172211264
93172262823
101240011444
11586a54a51
122a733b270
13169b932a9
14ba987300
1573ce0be9
hex49e912b4

1240011444 has 72 divisors (see below), whose sum is σ = 3397373280. Its totient is φ = 350960064.

The previous prime is 1240011427. The next prime is 1240011449. The reversal of 1240011444 is 4441100421.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 1240011444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1240011449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53062 + ... + 72770.

It is an arithmetic number, because the mean of its divisors is an integer number (47185740).

Almost surely, 21240011444 is an apocalyptic number.

1240011444 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 1240011444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698686640).

1240011444 is an abundant number, since it is smaller than the sum of its proper divisors (2157361836).

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

1240011444 is a wasteful number, since it uses less digits than its factorization.

1240011444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19837 (or 19828 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 1240011444 is about 35213.7962168239. The cubic root of 1240011444 is about 1074.3403760093.

Adding to 1240011444 its reverse (4441100421), we get a palindrome (5681111865).

The spelling of 1240011444 in words is "one billion, two hundred forty million, eleven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 107 147 196 214 294 321 428 588 642 749 1284 1498 2247 2996 4494 5243 8988 10486 15729 19709 20972 31458 39418 59127 62916 78836 118254 137963 236508 275926 413889 551852 827778 965741 1655556 1931482 2108863 2897223 3862964 4217726 5794446 6326589 8435452 11588892 12653178 14762041 25306356 29524082 44286123 59048164 88572246 103334287 177144492 206668574 310002861 413337148 620005722 1240011444