Search a number
-
+
1144029378048 = 2936167182239
BaseRepresentation
bin10000101001011101011…
…101101111011000000000
311001100221101002220210020
4100221131131233120000
5122220433010044143
62233320531533440
7145440054160134
oct20513535573000
94040841086706
101144029378048
114011a8839437
1216587915a280
1383b5c8970ab
143d52ac753c4
151eb5b0b2883
hex10a5d76f600

1144029378048 has 160 divisors (see below), whose sum is σ = 3143981153280. Its totient is φ = 369491189760.

The previous prime is 1144029378017. The next prime is 1144029378061. The reversal of 1144029378048 is 8408739204411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6186513 + ... + 6368751.

It is an arithmetic number, because the mean of its divisors is an integer number (19649882208).

Almost surely, 21144029378048 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 1144029378048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571990576640).

1144029378048 is an abundant number, since it is smaller than the sum of its proper divisors (1999951775232).

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

1144029378048 is an equidigital number, since it uses as much as digits as its factorization.

1144029378048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182388 (or 182372 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 1144029378048 in words is "one trillion, one hundred forty-four billion, twenty-nine million, three hundred seventy-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 67 96 122 128 134 183 192 201 244 256 268 366 384 402 488 512 536 732 768 804 976 1072 1464 1536 1608 1952 2144 2928 3216 3904 4087 4288 5856 6432 7808 8174 8576 11712 12261 12864 15616 16348 17152 23424 24522 25728 31232 32696 34304 46848 49044 51456 65392 93696 98088 102912 130784 182239 196176 261568 364478 392352 523136 546717 728956 784704 1046272 1093434 1457912 1569408 2092544 2186868 2915824 3138816 4373736 5831648 6277632 8747472 11116579 11663296 12210013 17494944 22233158 23326592 24420026 33349737 34989888 36630039 44466316 46653184 48840052 66699474 69979776 73260078 88932632 93306368 97680104 133398948 139959552 146520156 177865264 195360208 266797896 279919104 293040312 355730528 390720416 533595792 586080624 711461056 744810793 781440832 1067191584 1172161248 1422922112 1489621586 1562881664 2134383168 2234432379 2344322496 2845844224 2979243172 3125763328 4268766336 4468864758 4688644992 5691688448 5958486344 6251526656 8537532672 8937729516 9377289984 11916972688 17075065344 17875459032 18754579968 23833945376 35750918064 47667890752 71501836128 95335781504 143003672256 190671563008 286007344512 381343126016 572014689024 1144029378048