Search a number
-
+
44455119296 = 2671014332269
BaseRepresentation
bin101001011001101110…
…110100100111000000
311020202011011001020212
4221121232310213000
51212021002304141
632231123253252
73132432164540
oct513156644700
9136664131225
1044455119296
1117942835115
128747b1a228
134266073b23
14221a153320
151252bac2eb
hexa59bb49c0

44455119296 has 112 divisors (see below), whose sum is σ = 102096173760. Its totient is φ = 18811699200.

The previous prime is 44455119287. The next prime is 44455119349. The reversal of 44455119296 is 69291155444.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 19591250 + ... + 19593518.

It is an arithmetic number, because the mean of its divisors is an integer number (911572980).

Almost surely, 244455119296 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 44455119296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51048086880).

44455119296 is an abundant number, since it is smaller than the sum of its proper divisors (57641054464).

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

44455119296 is a wasteful number, since it uses less digits than its factorization.

44455119296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2822 (or 2812 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 50.

The spelling of 44455119296 in words is "forty-four billion, four hundred fifty-five million, one hundred nineteen thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 101 112 202 224 404 433 448 707 808 866 1414 1616 1732 2269 2828 3031 3232 3464 4538 5656 6062 6464 6928 9076 11312 12124 13856 15883 18152 22624 24248 27712 31766 36304 43733 45248 48496 63532 72608 87466 96992 127064 145216 174932 193984 229169 254128 306131 349864 458338 508256 612262 699728 916676 982477 1016512 1224524 1399456 1604183 1833352 1964954 2449048 2798912 3208366 3666704 3929908 4898096 6416732 6877339 7333408 7859816 9796192 12833464 13754678 14666816 15719632 19592384 25666928 27509356 31439264 51333856 55018712 62878528 99230177 102667712 110037424 198460354 220074848 396920708 440149696 694611239 793841416 1389222478 1587682832 2778444956 3175365664 5556889912 6350731328 11113779824 22227559648 44455119296