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1444741434 = 23543257269
BaseRepresentation
bin101011000011101…
…0000000100111010
310201200112110200000
41112013100010322
510424323211214
6355205453430
750542046103
oct12607200472
93650473600
101444741434
11681578694
12343a11276
131a04154b6
14d9c3b3aa
1586c81809
hex561d013a

1444741434 has 96 divisors (see below), whose sum is σ = 3347023680. Its totient is φ = 466808832.

The previous prime is 1444741433. The next prime is 1444741489. The reversal of 1444741434 is 4341474441.

1444741434 is a `hidden beast` number, since 1 + 44 + 474 + 143 + 4 = 666.

It is a super-2 number, since 2×14447414342 = 4174555622232752712, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1444741433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5370652 + ... + 5370920.

It is an arithmetic number, because the mean of its divisors is an integer number (34864830).

Almost surely, 21444741434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1444741434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673511840).

1444741434 is an abundant number, since it is smaller than the sum of its proper divisors (1902282246).

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

1444741434 is a wasteful number, since it uses less digits than its factorization.

1444741434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 574 counting only the distinct ones).

The product of its digits is 86016, while the sum is 36.

The square root of 1444741434 is about 38009.7544585597. The cubic root of 1444741434 is about 1130.4812824427.

The spelling of 1444741434 in words is "one billion, four hundred forty-four million, seven hundred forty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 43 54 81 86 129 162 243 257 258 269 387 486 514 538 771 774 807 1161 1542 1614 2313 2322 2421 3483 4626 4842 6939 6966 7263 10449 11051 11567 13878 14526 20817 20898 21789 22102 23134 33153 34701 41634 43578 62451 65367 66306 69133 69402 99459 104103 124902 130734 138266 198918 207399 208206 298377 312309 414798 596754 622197 624618 895131 936927 1244394 1790262 1866591 1873854 2685393 2810781 2972719 3733182 5370786 5599773 5621562 5945438 8918157 11199546 16799319 17836314 26754471 33598638 53508942 80263413 160526826 240790239 481580478 722370717 1444741434