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4200203324430 = 2345172331309123
BaseRepresentation
bin111101000111101111101…
…000001000110000001110
3112212112110101120100010000
4331013233220020300032
51022304004022340210
612533314034025130
7612311645121531
oct75075750106016
915775411510100
104200203324430
11137a329306493
1257a03b7181a6
13246101297109
1410741042aa18
15743cc1e3ac0
hex3d1efa08c0e

4200203324430 has 160 divisors (see below), whose sum is σ = 12009557967264. Its totient is φ = 1049643546624.

The previous prime is 4200203324417. The next prime is 4200203324461. The reversal of 4200203324430 is 344233020024.

4200203324430 is a `hidden beast` number, since 4 + 2 + 0 + 0 + 203 + 3 + 24 + 430 = 666.

4200203324430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 4200203324394 and 4200203324403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2553849 + ... + 3862971.

Almost surely, 24200203324430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4200203324430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6004778983632).

4200203324430 is an abundant number, since it is smaller than the sum of its proper divisors (7809354642834).

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

4200203324430 is a wasteful number, since it uses less digits than its factorization.

4200203324430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309392 (or 1309383 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 4200203324430 its reverse (344233020024), we get a palindrome (4544436344454).

The spelling of 4200203324430 in words is "four trillion, two hundred billion, two hundred three million, three hundred twenty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 81 85 90 102 135 153 162 170 233 255 270 306 405 459 466 510 699 765 810 918 1165 1377 1398 1530 2097 2295 2330 2754 3495 3961 4194 4590 6291 6885 6990 7922 10485 11883 12582 13770 18873 19805 20970 23766 31455 35649 37746 39610 59415 62910 71298 94365 106947 118830 178245 188730 213894 320841 356490 534735 641682 1069470 1309123 1604205 2618246 3208410 3927369 6545615 7854738 11782107 13091230 19636845 22255091 23564214 35346321 39273690 44510182 58910535 66765273 70692642 106038963 111275455 117821070 133530546 176731605 200295819 212077926 222550910 305025659 333826365 353463210 400591638 530194815 600887457 610051318 667652730 915076977 1001479095 1060389630 1201774914 1525128295 1802662371 1830153954 2002958190 2745230931 3004437285 3050256590 3605324742 4575384885 5185436203 5490461862 6008874570 8235692793 9013311855 9150769770 10370872406 13726154655 15556308609 16471385586 18026623710 24707078379 25927181015 27452309310 31112617218 41178463965 46668925827 49414156758 51854362030 77781543045 82356927930 93337851654 123535391895 140006777481 155563086090 233344629135 247070783790 280013554962 420020332443 466689258270 700033887405 840040664886 1400067774810 2100101662215 4200203324430