Search a number
-
+
11044315008 = 273813151
BaseRepresentation
bin10100100100100101…
…01101111110000000
31001111200211100000000
422102102231332000
5140104321040013
65023530000000
7540455062056
oct122222557600
931450740000
1011044315008
114758256371
122182876000
13107017224c
1476ab281d6
154498e4973
hex2924adf80

11044315008 has 144 divisors (see below), whose sum is σ = 33004352160. Its totient is φ = 3681158400.

The previous prime is 11044314973. The next prime is 11044315031. The reversal of 11044315008 is 80051344011.

It is a happy number.

11044315008 is a `hidden beast` number, since 110 + 4 + 43 + 1 + 500 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 833233 + ... + 846383.

It is an arithmetic number, because the mean of its divisors is an integer number (229196890).

Almost surely, 211044315008 is an apocalyptic number.

11044315008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11044315008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16502176080).

11044315008 is an abundant number, since it is smaller than the sum of its proper divisors (21960037152).

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

11044315008 is an frugal number, since it uses more digits than its factorization.

11044315008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13189 (or 13156 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 11044315008 its reverse (80051344011), we get a palindrome (91095659019).

The spelling of 11044315008 in words is "eleven billion, forty-four million, three hundred fifteen thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 729 864 972 1152 1296 1458 1728 1944 2187 2592 2916 3456 3888 4374 5184 5832 6561 7776 8748 10368 11664 13122 13151 15552 17496 23328 26244 26302 31104 34992 39453 46656 52488 52604 69984 78906 93312 104976 105208 118359 139968 157812 209952 210416 236718 279936 315624 355077 419904 420832 473436 631248 710154 839808 841664 946872 1065231 1262496 1420308 1683328 1893744 2130462 2524992 2840616 3195693 3787488 4260924 5049984 5681232 6391386 7574976 8521848 9587079 11362464 12782772 15149952 17043696 19174158 22724928 25565544 28761237 34087392 38348316 45449856 51131088 57522474 68174784 76696632 86283711 102262176 115044948 136349568 153393264 172567422 204524352 230089896 306786528 345134844 409048704 460179792 613573056 690269688 920359584 1227146112 1380539376 1840719168 2761078752 3681438336 5522157504 11044315008