Search a number
-
+
44403003144 = 2335137166723
BaseRepresentation
bin101001010110101000…
…000000111100001000
311020121112002021100000
4221112220000330020
51211414132100034
632222022243000
73131230204443
oct512650007410
9136545067300
1044403003144
1117916379515
128732586460
134258327476
14221326865a
15124d315599
hexa56a00f08

44403003144 has 96 divisors (see below), whose sum is σ = 125623199520. Its totient is φ = 14692876416.

The previous prime is 44403003121. The next prime is 44403003167. The reversal of 44403003144 is 44130030444.

44403003144 is a `hidden beast` number, since 4 + 4 + 40 + 300 + 314 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (44403003121) and next prime (44403003167).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 182967 + ... + 349689.

It is an arithmetic number, because the mean of its divisors is an integer number (1308574995).

Almost surely, 244403003144 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 44403003144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62811599760).

44403003144 is an abundant number, since it is smaller than the sum of its proper divisors (81220196376).

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

44403003144 is a wasteful number, since it uses less digits than its factorization.

44403003144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166881 (or 166865 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 44403003144 its reverse (44130030444), we get a palindrome (88533033588).

It can be divided in two parts, 4440300 and 3144, that added together give a palindrome (4443444).

The spelling of 44403003144 in words is "forty-four billion, four hundred three million, three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 137 162 216 243 274 324 411 486 548 648 822 972 1096 1233 1644 1944 2466 3288 3699 4932 7398 9864 11097 14796 22194 29592 33291 44388 66582 88776 133164 166723 266328 333446 500169 666892 1000338 1333784 1500507 2000676 3001014 4001352 4501521 6002028 9003042 12004056 13504563 18006084 22841051 27009126 36012168 40513689 45682102 54018252 68523153 81027378 91364204 108036504 137046306 162054756 182728408 205569459 274092612 324109512 411138918 548185224 616708377 822277836 1233416754 1644555672 1850125131 2466833508 3700250262 4933667016 5550375393 7400500524 11100750786 14801001048 22201501572 44403003144