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1144234304544 = 253731549105407
BaseRepresentation
bin10000101001101001101…
…011011110010000100000
311001101110122201021002110
4100221221223132100200
5122221342440221134
62233353132115320
7145445123053362
oct20515153362040
94041418637073
101144234304544
114012a3486781
12165915905b40
1383b93187886
143d54a17ad32
151eb6e0917e9
hex10a69ade420

1144234304544 has 96 divisors (see below), whose sum is σ = 3046754995200. Its totient is φ = 375940196352.

The previous prime is 1144234304513. The next prime is 1144234304569. The reversal of 1144234304544 is 4454034324411.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10802689 + ... + 10908095.

It is an arithmetic number, because the mean of its divisors is an integer number (31737031200).

Almost surely, 21144234304544 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 1144234304544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523377497600).

1144234304544 is an abundant number, since it is smaller than the sum of its proper divisors (1902520690656).

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

1144234304544 is a wasteful number, since it uses less digits than its factorization.

1144234304544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107042 (or 107034 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 39.

Adding to 1144234304544 its reverse (4454034324411), we get a palindrome (5598268628955).

The spelling of 1144234304544 in words is "one trillion, one hundred forty-four billion, two hundred thirty-four million, three hundred four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 219 292 438 584 876 1168 1549 1752 2336 3098 3504 4647 6196 7008 9294 12392 18588 24784 37176 49568 74352 105407 113077 148704 210814 226154 316221 339231 421628 452308 632442 678462 843256 904616 1264884 1356924 1686512 1809232 2529768 2713848 3373024 3618464 5059536 5427696 7694711 10119072 10855392 15389422 23084133 30778844 46168266 61557688 92336532 123115376 163275443 184673064 246230752 326550886 369346128 489826329 653101772 738692256 979652658 1306203544 1959305316 2612407088 3918610632 5224814176 7837221264 11919107339 15674442528 23838214678 35757322017 47676429356 71514644034 95352858712 143029288068 190705717424 286058576136 381411434848 572117152272 1144234304544