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1144443750516 = 22321129131760729
BaseRepresentation
bin10000101001110110001…
…010011100100001110100
311001102000020211012221200
4100221312022130201310
5122222310100004031
62233430013212500
7145453245242133
oct20516612344164
94042006735850
101144443750516
114013a0730620
12165973a91130
1383bc769b4c1
143d569cdb91a
151eb826648e6
hex10a7629c874

1144443750516 has 144 divisors (see below), whose sum is σ = 3289639953600. Its totient is φ = 332285990400.

The previous prime is 1144443750497. The next prime is 1144443750517. The reversal of 1144443750516 is 6150573444411.

1144443750516 is a `hidden beast` number, since 1 + 1 + 4 + 44 + 43 + 7 + 50 + 516 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144443750517) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1124040 + ... + 1884768.

It is an arithmetic number, because the mean of its divisors is an integer number (22844721900).

Almost surely, 21144443750516 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 1144443750516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644819976800).

1144443750516 is an abundant number, since it is smaller than the sum of its proper divisors (2145196203084).

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

1144443750516 is a wasteful number, since it uses less digits than its factorization.

1144443750516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760910 (or 760905 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 1144443750516 in words is "one trillion, one hundred forty-four billion, four hundred forty-three million, seven hundred fifty thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 99 116 131 132 174 198 261 262 319 348 393 396 522 524 638 786 957 1044 1179 1276 1441 1572 1914 2358 2871 2882 3799 3828 4323 4716 5742 5764 7598 8646 11397 11484 12969 15196 17292 22794 25938 34191 41789 45588 51876 68382 83578 125367 136764 167156 250734 376101 501468 752202 760729 1504404 1521458 2282187 3042916 4564374 6846561 8368019 9128748 13693122 16736038 22061141 25104057 27386244 33472076 44122282 50208114 66183423 75312171 88244564 99655499 100416228 132366846 150624342 198550269 199310998 242672551 264733692 298966497 301248684 397100538 398621996 485345102 597932994 728017653 794201076 896899491 970690204 1096210489 1195865988 1456035306 1793798982 2184052959 2192420978 2890009471 2912070612 3288631467 3587597964 4368105918 4384841956 5780018942 6577262934 8670028413 8736211836 9865894401 11560037884 13154525868 17340056826 19731788802 26010085239 31790104181 34680113652 39463577604 52020170478 63580208362 95370312543 104040340956 127160416724 190740625086 286110937629 381481250172 572221875258 1144443750516