Search a number
-
+
1215441044224 = 2811372315281
BaseRepresentation
bin10001101011111101111…
…011101000001100000000
311022012021011202102121021
4101223331323220030000
5124403210401403344
62330211011435224
7153545522261461
oct21537573501400
94265234672537
101215441044224
11429513868170
121776888b5b14
138a800616274
1442b83158d68
152193a5beb84
hex11afdee8300

1215441044224 has 108 divisors (see below), whose sum is σ = 2720166078168. Its totient is φ = 537539788800.

The previous prime is 1215441044219. The next prime is 1215441044231. The reversal of 1215441044224 is 4224401445121.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1215441044224.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3697464 + ... + 4012744.

It is an arithmetic number, because the mean of its divisors is an integer number (25186722946).

Almost surely, 21215441044224 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 1215441044224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360083039084).

1215441044224 is an abundant number, since it is smaller than the sum of its proper divisors (1504725033944).

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

1215441044224 is an equidigital number, since it uses as much as digits as its factorization.

1215441044224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315382 (or 315331 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 34.

Adding to 1215441044224 its reverse (4224401445121), we get a palindrome (5439842489345).

The spelling of 1215441044224 in words is "one trillion, two hundred fifteen billion, four hundred forty-one million, forty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 74 88 128 148 176 256 296 352 407 592 704 814 1184 1369 1408 1628 2368 2738 2816 3256 4736 5476 6512 9472 10952 13024 15059 21904 26048 30118 43808 52096 60236 87616 104192 120472 175232 240944 315281 350464 481888 630562 963776 1261124 1927552 2522248 3468091 3855104 5044496 6936182 10088992 11665397 13872364 20177984 23330794 27744728 40355968 46661588 55489456 80711936 93323176 110978912 128319367 186646352 221957824 256638734 373292704 431619689 443915648 513277468 746585408 863239378 887831296 1026554936 1493170816 1726478756 2053109872 2986341632 3452957512 4106219744 4747816579 6905915024 8212439488 9495633158 13811830048 16424878976 18991266316 27623660096 32849757952 37982532632 55247320192 75965065264 110494640384 151930130528 303860261056 607720522112 1215441044224