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202041434430 = 233511431582033
BaseRepresentation
bin1011110000101010011…
…0111010000100111110
3201022111121121022002000
42330022212322010332
511302240101400210
6232452213043130
720411526566613
oct2741246720476
9638447538060
10202041434430
117875a1390a0
12331a73264a6
131608b242c44
149ac928450a
1553c77bdac0
hex2f0a9ba13e

202041434430 has 128 divisors (see below), whose sum is σ = 601426045440. Its totient is φ = 47840647680.

The previous prime is 202041434429. The next prime is 202041434431. The reversal of 202041434430 is 34434140202.

It is a happy number.

202041434430 is a `hidden beast` number, since 2 + 0 + 204 + 14 + 3 + 443 + 0 = 666.

202041434430 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (202041434429) and next prime (202041434431).

It is a super-3 number, since 3×2020414344303 (a number of 35 digits) contains 333 as substring.

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 = 202041434394 and 202041434403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202041434431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 663307 + ... + 918726.

It is an arithmetic number, because the mean of its divisors is an integer number (4698640980).

Almost surely, 2202041434430 is an apocalyptic number.

202041434430 is an abundant number, since it is smaller than the sum of its proper divisors (399384611010).

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

202041434430 is a wasteful number, since it uses less digits than its factorization.

202041434430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582103 (or 1582097 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 202041434430 its reverse (34434140202), we get a palindrome (236475574632).

The spelling of 202041434430 in words is "two hundred two billion, forty-one million, four hundred thirty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 43 45 54 55 66 86 90 99 110 129 135 165 198 215 258 270 297 330 387 430 473 495 594 645 774 946 990 1161 1290 1419 1485 1935 2322 2365 2838 2970 3870 4257 4730 5805 7095 8514 11610 12771 14190 21285 25542 42570 63855 127710 1582033 3164066 4746099 7910165 9492198 14238297 15820330 17402363 23730495 28476594 34804726 42714891 47460990 52207089 68027419 71191485 85429782 87011815 104414178 136054838 142382970 156621267 174023630 204082257 213574455 261035445 313242534 340137095 408164514 427148910 469863801 522070890 612246771 680274190 748301609 783106335 939727602 1020411285 1224493542 1496603218 1566212670 1836740313 2040822570 2244904827 2349319005 3061233855 3673480626 3741508045 4489809654 4698638010 6122467710 6734714481 7483016090 9183701565 11224524135 13469428962 18367403130 20204143443 22449048270 33673572405 40408286886 67347144810 101020717215 202041434430