Search a number
-
+
1241430144 = 27329412719
BaseRepresentation
bin100100111111110…
…1011100010000000
310012111222012000020
41021333223202000
510020301231034
6323104053440
742522660603
oct11177534200
93174865006
101241430144
11587833929
122a7904280
1316a26bc66
14bac3633a
1573ec1249
hex49feb880

1241430144 has 128 divisors (see below), whose sum is σ = 3495744000. Its totient is φ = 389652480.

The previous prime is 1241430139. The next prime is 1241430191. The reversal of 1241430144 is 4410341421.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×12414301442 = 3082297604863721472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 455217 + ... + 457935.

It is an arithmetic number, because the mean of its divisors is an integer number (27310500).

Almost surely, 21241430144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1241430144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747872000).

1241430144 is an abundant number, since it is smaller than the sum of its proper divisors (2254313856).

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

1241430144 is a wasteful number, since it uses less digits than its factorization.

1241430144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2806 (or 2794 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 1241430144 is about 35233.9345517925. The cubic root of 1241430144 is about 1074.7499383028.

Adding to 1241430144 its reverse (4410341421), we get a palindrome (5651771565).

The spelling of 1241430144 in words is "one billion, two hundred forty-one million, four hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 41 48 58 64 82 87 96 116 123 128 164 174 192 232 246 328 348 384 464 492 656 696 928 984 1189 1312 1392 1856 1968 2378 2624 2719 2784 3567 3712 3936 4756 5248 5438 5568 7134 7872 8157 9512 10876 11136 14268 15744 16314 19024 21752 28536 32628 38048 43504 57072 65256 76096 78851 87008 111479 114144 130512 152192 157702 174016 222958 228288 236553 261024 315404 334437 348032 445916 456576 473106 522048 630808 668874 891832 946212 1044096 1261616 1337748 1783664 1892424 2523232 2675496 3232891 3567328 3784848 5046464 5350992 6465782 7134656 7569696 9698673 10092928 10701984 12931564 14269312 15139392 19397346 21403968 25863128 30278784 38794692 42807936 51726256 77589384 103452512 155178768 206905024 310357536 413810048 620715072 1241430144