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11440130304 = 283791571201
BaseRepresentation
bin10101010011110001…
…01000100100000000
31002112021121211111210
422221320220210000
5141412133132204
65131105410120
7553332334401
oct125170504400
932467554453
1011440130304
114940723249
122273339940
131104179b95
147a751d9a8
1546e52d389
hex2a9e28900

11440130304 has 144 divisors (see below), whose sum is σ = 31055064320. Its totient is φ = 3738009600.

The previous prime is 11440130293. The next prime is 11440130311. The reversal of 11440130304 is 40303104411.

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, 9524904 + ... + 9526104.

Almost surely, 211440130304 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 11440130304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15527532160).

11440130304 is an abundant number, since it is smaller than the sum of its proper divisors (19614934016).

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

11440130304 is a wasteful number, since it uses less digits than its factorization.

11440130304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1456 (or 1442 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 11440130304 its reverse (40303104411), we get a palindrome (51743234715).

The spelling of 11440130304 in words is "eleven billion, four hundred forty million, one hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 157 158 192 237 256 314 316 384 471 474 628 632 768 942 948 1201 1256 1264 1884 1896 2402 2512 2528 3603 3768 3792 4804 5024 5056 7206 7536 7584 9608 10048 10112 12403 14412 15072 15168 19216 20096 20224 24806 28824 30144 30336 37209 38432 40192 49612 57648 60288 60672 74418 76864 94879 99224 115296 120576 148836 153728 188557 189758 198448 230592 284637 297672 307456 377114 379516 396896 461184 565671 569274 595344 754228 759032 793792 922368 1131342 1138548 1190688 1508456 1518064 1587584 2262684 2277096 2381376 3016912 3036128 3175168 4525368 4554192 4762752 6033824 6072256 9050736 9108384 9525504 12067648 12144512 14896003 18101472 18216768 24135296 24289024 29792006 36202944 36433536 44688009 48270592 59584012 72405888 72867072 89376018 119168024 144811776 178752036 238336048 357504072 476672096 715008144 953344192 1430016288 1906688384 2860032576 3813376768 5720065152 11440130304