Search a number
-
+
11421244032 = 273117138083
BaseRepresentation
bin10101010001100001…
…00101101010000000
31002110222002022102020
422220300211222000
5141342314302112
65125152521440
7553012654362
oct125060455200
932428068366
1011421244032
114930aa3760
122268b50280
131100296683
147a4c04d32
1546ca4c48c
hex2a8c25a80

11421244032 has 128 divisors (see below), whose sum is σ = 33562667520. Its totient is φ = 3412147200.

The previous prime is 11421244019. The next prime is 11421244057. The reversal of 11421244032 is 23044212411.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 11421243993 and 11421244011.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 280863 + ... + 318945.

It is an arithmetic number, because the mean of its divisors is an integer number (262208340).

Almost surely, 211421244032 is an apocalyptic number.

11421244032 is a gapful number since it is divisible by the number (12) 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 11421244032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16781333760).

11421244032 is an abundant number, since it is smaller than the sum of its proper divisors (22141423488).

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

11421244032 is a wasteful number, since it uses less digits than its factorization.

11421244032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38182 (or 38170 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 11421244032 its reverse (23044212411), we get a palindrome (34465456443).

The spelling of 11421244032 in words is "eleven billion, four hundred twenty-one million, two hundred forty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 71 88 96 128 132 142 176 192 213 264 284 352 384 426 528 568 704 781 852 1056 1136 1408 1562 1704 2112 2272 2343 3124 3408 4224 4544 4686 6248 6816 9088 9372 12496 13632 18744 24992 27264 37488 38083 49984 74976 76166 99968 114249 149952 152332 228498 299904 304664 418913 456996 609328 837826 913992 1218656 1256739 1675652 1827984 2437312 2513478 2703893 3351304 3655968 4874624 5026956 5407786 6702608 7311936 8111679 10053912 10815572 13405216 14623872 16223358 20107824 21631144 26810432 29742823 32446716 40215648 43262288 53620864 59485646 64893432 80431296 86524576 89228469 118971292 129786864 160862592 173049152 178456938 237942584 259573728 346098304 356913876 475885168 519147456 713827752 951770336 1038294912 1427655504 1903540672 2855311008 3807081344 5710622016 11421244032