Search a number
-
+
244049063445 = 325114367171131
BaseRepresentation
bin1110001101001001110…
…1010010111000010101
3212022221012100221211200
43203102131102320111
512444303030012240
6304040430223113
723426522545335
oct3432235227025
9768835327750
10244049063445
1194556374570
123b36b654a99
131a024211165
14bb523350c5
156535673930
hex38d2752e15

244049063445 has 96 divisors (see below), whose sum is σ = 479257219584. Its totient is φ = 113849366400.

The previous prime is 244049063417. The next prime is 244049063473. The reversal of 244049063445 is 544360940442.

244049063445 is a `hidden beast` number, since 2 + 4 + 4 + 0 + 4 + 9 + 0 + 634 + 4 + 5 = 666.

244049063445 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (244049063417) and next prime (244049063473).

It is not a de Polignac number, because 244049063445 - 28 = 244049063189 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 244049063445.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1340530 + ... + 1511660.

It is an arithmetic number, because the mean of its divisors is an integer number (4992262704).

Almost surely, 2244049063445 is an apocalyptic number.

244049063445 is the 285219-th octagonal number.

It is an amenable number.

244049063445 is a deficient number, since it is larger than the sum of its proper divisors (235208156139).

244049063445 is a wasteful number, since it uses less digits than its factorization.

244049063445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171263 (or 171260 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 244049063445 in words is "two hundred forty-four billion, forty-nine million, sixty-three thousand, four hundred forty-five".

Divisors: 1 3 5 9 11 15 33 43 45 55 67 99 129 165 201 215 335 387 473 495 603 645 737 1005 1419 1935 2211 2365 2881 3015 3685 4257 6633 7095 8643 11055 14405 21285 25929 31691 33165 43215 95073 129645 158455 171131 285219 475365 513393 855655 1426095 1540179 1882441 2566965 5647323 7358633 7700895 9412205 11465777 16941969 22075899 28236615 34397331 36793165 57328885 66227697 80944963 84709845 103191993 110379495 126123547 171986655 242834889 331138485 378370641 404724815 493028411 515959965 630617735 728504667 1135111923 1214174445 1479085233 1891853205 2465142055 3642523335 4437255699 5423312521 5675559615 7395426165 16269937563 22186278495 27116562605 48809812689 81349687815 244049063445