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4223140304112 = 243329433778513
BaseRepresentation
bin111101011101000110110…
…001110001010011110000
3112221201122220112122002000
4331131012301301103300
51023142442404212422
612552030041054000
7614053232204442
oct75350661612360
915851586478060
104223140304112
111389029671844
12582581187300
1324831828c642
141085887d2492
1574cc0c05cac
hex3d746c714f0

4223140304112 has 160 divisors (see below), whose sum is σ = 12568952827200. Its totient is φ = 1356030885888.

The previous prime is 4223140304107. The next prime is 4223140304161. The reversal of 4223140304112 is 2114030413224.

4223140304112 is a `hidden beast` number, since 42 + 2 + 314 + 0 + 304 + 1 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5035368 + ... + 5813880.

It is an arithmetic number, because the mean of its divisors is an integer number (78555955170).

Almost surely, 24223140304112 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 4223140304112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6284476413600).

4223140304112 is an abundant number, since it is smaller than the sum of its proper divisors (8345812523088).

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

4223140304112 is a wasteful number, since it uses less digits than its factorization.

4223140304112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778992 (or 778980 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 4223140304112 its reverse (2114030413224), we get a palindrome (6337170717336).

The spelling of 4223140304112 in words is "four trillion, two hundred twenty-three billion, one hundred forty million, three hundred four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 108 116 144 174 216 232 261 348 432 433 464 522 696 783 866 1044 1299 1392 1566 1732 2088 2598 3132 3464 3897 4176 5196 6264 6928 7794 10392 11691 12528 12557 15588 20784 23382 25114 31176 37671 46764 50228 62352 75342 93528 100456 113013 150684 187056 200912 226026 301368 339039 452052 602736 678078 778513 904104 1356156 1557026 1808208 2335539 2712312 3114052 4671078 5424624 6228104 7006617 9342156 12456208 14013234 18684312 21019851 22576877 28026468 37368624 42039702 45153754 56052936 67730631 84079404 90307508 112105872 135461262 168158808 180615016 203191893 270922524 336317616 337096129 361230032 406383786 541845048 609575679 674192258 812767572 1011288387 1083690096 1219151358 1348384516 1625535144 2022576774 2438302716 2696769032 3033865161 3251070288 4045153548 4876605432 5393538064 6067730322 8090307096 9101595483 9753210864 9775787741 12135460644 16180614192 18203190966 19551575482 24270921288 29327363223 36406381932 39103150964 48541842576 58654726446 72812763864 78206301928 87982089669 117309452892 145625527728 156412603856 175964179338 234618905784 263946269007 351928358676 469237811568 527892538014 703856717352 1055785076028 1407713434704 2111570152056 4223140304112