Search a number
-
+
13301214144 = 2633119311579
BaseRepresentation
bin11000110001101000…
…00110101111000000
31021022222120200120220
430120310012233000
5204220102323034
610035511103040
7650421311661
oct143064065700
937288520526
1013301214144
115706209069
1226b2671a80
13133c90631a
14902777368
1552cb00749
hex318d06bc0

13301214144 has 112 divisors (see below), whose sum is σ = 36519429120. Its totient is φ = 4268113920.

The previous prime is 13301214133. The next prime is 13301214169. The reversal of 13301214144 is 44141210331.

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

It is a congruent number.

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, 1142947 + ... + 1154525.

Almost surely, 213301214144 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 13301214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18259714560).

13301214144 is an abundant number, since it is smaller than the sum of its proper divisors (23218214976).

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

13301214144 is a wasteful number, since it uses less digits than its factorization.

13301214144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11818 (or 11808 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 13301214144 its reverse (44141210331), we get a palindrome (57442424475).

The spelling of 13301214144 in words is "thirteen billion, three hundred one million, two hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 193 248 372 386 496 579 744 772 992 1158 1488 1544 1984 2316 2976 3088 4632 5952 5983 6176 9264 11579 11966 12352 17949 18528 23158 23932 34737 35898 37056 46316 47864 69474 71796 92632 95728 138948 143592 185264 191456 277896 287184 358949 370528 382912 555792 574368 717898 741056 1076847 1111584 1148736 1435796 2153694 2223168 2234747 2871592 4307388 4469494 5743184 6704241 8614776 8938988 11486368 13408482 17229552 17877976 22972736 26816964 34459104 35755952 53633928 68918208 69277157 71511904 107267856 138554314 143023808 207831471 214535712 277108628 415662942 429071424 554217256 831325884 1108434512 1662651768 2216869024 3325303536 4433738048 6650607072 13301214144