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4144311402030 = 2335137727154111
BaseRepresentation
bin111100010011101100001…
…101010111111000101110
3112200012012012001111102000
4330103230031113320232
51020400022204331110
612451512000113130
7605262620454462
oct74235415277056
915605165044360
104144311402030
111358657820988
1256b2416057a6
13240a6496c997
1410482b3c24a2
1572c0a4641c0
hex3c4ec357e2e

4144311402030 has 128 divisors (see below), whose sum is σ = 11147549736960. Its totient is φ = 1095566757120.

The previous prime is 4144311402013. The next prime is 4144311402109. The reversal of 4144311402030 is 302041134414.

4144311402030 is a `hidden beast` number, since 4 + 1 + 443 + 1 + 14 + 0 + 203 + 0 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4144311401985 and 4144311402003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26814675 + ... + 26968785.

It is an arithmetic number, because the mean of its divisors is an integer number (87090232320).

Almost surely, 24144311402030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4144311402030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5573774868480).

4144311402030 is an abundant number, since it is smaller than the sum of its proper divisors (7003238334930).

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

4144311402030 is a wasteful number, since it uses less digits than its factorization.

4144311402030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154991 (or 154985 counting only the distinct ones).

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

Adding to 4144311402030 its reverse (302041134414), we get a palindrome (4446352536444).

The spelling of 4144311402030 in words is "four trillion, one hundred forty-four billion, three hundred eleven million, four hundred two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 137 270 274 411 685 727 822 1233 1370 1454 2055 2181 2466 3635 3699 4110 4362 6165 6543 7270 7398 10905 12330 13086 18495 19629 21810 32715 36990 39258 65430 98145 99599 154111 196290 199198 298797 308222 462333 497995 597594 770555 896391 924666 995990 1386999 1493985 1541110 1792782 2311665 2689173 2773998 2987970 4160997 4481955 4623330 5378346 6934995 8321994 8963910 13445865 13869990 20804985 21113207 26891730 41609970 42226414 63339621 105566035 112038697 126679242 190018863 211132070 224077394 316698105 336116091 380037726 560193485 570056589 633396210 672232182 950094315 1008348273 1120386970 1140113178 1680580455 1900188630 2016696546 2850282945 3025044819 3361160910 5041741365 5700565890 6050089638 10083482730 15125224095 15349301489 30250448190 30698602978 46047904467 76746507445 92095808934 138143713401 153493014890 230239522335 276287426802 414431140203 460479044670 690718567005 828862280406 1381437134010 2072155701015 4144311402030