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2140044200244 = 22321919959326513
BaseRepresentation
bin11111001001000100100…
…100110000100100110100
321120120211100201100001100
4133021010210300210310
5240030302303401434
64315042302130100
7310420201365036
oct37110444604464
97516740640040
102140044200244
11755651184255
122a6908580930
13126a61330952
1475815d05c56
153aa02a30699
hex1f244930934

2140044200244 has 144 divisors (see below), whose sum is σ = 5732751024000. Its totient is φ = 671248207872.

The previous prime is 2140044200183. The next prime is 2140044200257. The reversal of 2140044200244 is 4420024400412.

2140044200244 is a `hidden beast` number, since 214 + 0 + 0 + 4 + 4 + 200 + 244 = 666.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 80703532 + ... + 80730044.

It is an arithmetic number, because the mean of its divisors is an integer number (39810771000).

Almost surely, 22140044200244 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 2140044200244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2866375512000).

2140044200244 is an abundant number, since it is smaller than the sum of its proper divisors (3592706823756).

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

2140044200244 is a wasteful number, since it uses less digits than its factorization.

2140044200244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27334 (or 27329 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 2140044200244 its reverse (4420024400412), we get a palindrome (6560068600656).

The spelling of 2140044200244 in words is "two trillion, one hundred forty billion, forty-four million, two hundred thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 199 228 342 398 593 597 684 796 1186 1194 1779 1791 2372 2388 3558 3582 3781 5337 7116 7164 7562 10674 11267 11343 15124 21348 22534 22686 26513 33801 34029 45068 45372 53026 67602 68058 79539 101403 106052 118007 135204 136116 159078 202806 236014 238617 318156 354021 405612 472028 477234 503747 708042 954468 1007494 1062063 1416084 1511241 2014988 2124126 2242133 3022482 4248252 4484266 4533723 5276087 6044964 6726399 8968532 9067446 10552174 13452798 15722209 15828261 18134892 20179197 21104348 26905596 31444418 31656522 40358394 47166627 47484783 62888836 63313044 80716788 94333254 94969566 100245653 141499881 188666508 189939132 200491306 282999762 298721971 300736959 400982612 565999524 597443942 601473918 896165913 902210877 1194887884 1202947836 1792331826 1804421754 2688497739 3128719591 3584663652 3608843508 5376995478 6257439182 9386158773 10753990956 12514878364 18772317546 28158476319 37544635092 56316952638 59445672229 112633905276 118891344458 178337016687 237782688916 356674033374 535011050061 713348066748 1070022100122 2140044200244