Search a number
-
+
244214412442 = 271113463487541
BaseRepresentation
bin1110001101110001010…
…0000011010010011010
3212100100201111120000121
43203130110003102122
513000122342144232
6304105054223454
723433601153360
oct3433424032232
9770321446017
10244214412442
119463073a730
123b3b6ab4b8a
131a04c5554c0
14bb6a297630
156544e35d97
hex38dc50349a

244214412442 has 128 divisors (see below), whose sum is σ = 494831812608. Its totient is φ = 87298041600.

The previous prime is 244214412419. The next prime is 244214412457.

244214412442 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 244214412398 and 244214412407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 451412692 + ... + 451413232.

It is an arithmetic number, because the mean of its divisors is an integer number (3865873536).

Almost surely, 2244214412442 is an apocalyptic number.

244214412442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

244214412442 is an abundant number, since it is smaller than the sum of its proper divisors (250617400166).

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

244214412442 is a wasteful number, since it uses less digits than its factorization.

244214412442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524.

The product of its digits is 65536, while the sum is 34.

It can be divided in two parts, 244214 and 412442, that added together give a palindrome (656656).

The spelling of 244214412442 in words is "two hundred forty-four billion, two hundred fourteen million, four hundred twelve thousand, four hundred forty-two".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 286 463 487 541 926 974 1001 1082 2002 3241 3409 3787 5093 5357 5951 6019 6331 6482 6818 7033 7574 10186 10714 11902 12038 12662 14066 35651 37499 41657 42133 44317 49231 66209 69641 71302 74998 77363 83314 84266 88634 98462 132418 139282 154726 225481 250483 263467 450962 463463 487487 500966 526934 541541 926926 974974 1083082 1578367 1753381 1844269 2480291 2755313 2898137 2931253 3156734 3256279 3425071 3506762 3688538 4960582 5510626 5796274 5862506 6512558 6850142 17362037 19287191 20286959 20518771 22793953 23975497 32243783 34724074 35819069 37675781 38574382 40573918 41037542 45587906 47950994 64487566 71638138 75351562 121985221 225706481 243970442 250733483 263730467 451412962 501466966 527460934 853896547 1341837431 1585807873 1707793094 2683674862 3171615746 9392862017 11100655111 17443886603 18785724034 22201310222 34887773206 122107206221 244214412442