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4414302133140 = 2235614992417021
BaseRepresentation
bin100000000111100100011…
…1010010001101110010100
3120122000002022020201020210
41000033020322101232110
51034310442321230030
613215522530325420
7633631344015234
oct100171072215624
916560068221223
104414302133140
111452105523309
125b3630a29870
1326036150c643
14113920b85cc4
1579c5d2b7bb0
hex403c8e91b94

4414302133140 has 96 divisors (see below), whose sum is σ = 12587850576000. Its totient is φ = 1155528921600.

The previous prime is 4414302133139. The next prime is 4414302133147. The reversal of 4414302133140 is 413312034144.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4414302133098 and 4414302133107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4414302133147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 617830 + ... + 3034850.

It is an arithmetic number, because the mean of its divisors is an integer number (131123443500).

Almost surely, 24414302133140 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 4414302133140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6293925288000).

4414302133140 is an abundant number, since it is smaller than the sum of its proper divisors (8173548442860).

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

4414302133140 is a wasteful number, since it uses less digits than its factorization.

4414302133140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2417593 (or 2417591 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 4414302133140 its reverse (413312034144), we get a palindrome (4827614167284).

The spelling of 4414302133140 in words is "four trillion, four hundred fourteen billion, three hundred two million, one hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 244 305 366 499 610 732 915 998 1220 1497 1830 1996 2495 2994 3660 4990 5988 7485 9980 14970 29940 30439 60878 91317 121756 152195 182634 304390 365268 456585 608780 913170 1826340 2417021 4834042 7251063 9668084 12085105 14502126 24170210 29004252 36255315 48340420 72510630 145021260 147438281 294876562 442314843 589753124 737191405 884629686 1206093479 1474382810 1769259372 2211574215 2412186958 2948765620 3618280437 4423148430 4824373916 6030467395 7236560874 8846296860 12060934790 14473121748 18091402185 24121869580 36182804370 72365608740 73571702219 147143404438 220715106657 294286808876 367858511095 441430213314 735717022190 882860426628 1103575533285 1471434044380 2207151066570 4414302133140