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204310414420 = 225759181136657
BaseRepresentation
bin1011111001000111011…
…0011000010001010100
3201112100202002102110221
42332101312120101110
511321411431230140
6233505305124124
720522000603620
oct2762166302124
9645322072427
10204310414420
11797139a2372
123371b189644
1316360346a58
149c6275a180
1554abab414a
hex2f91d98454

204310414420 has 96 divisors (see below), whose sum is σ = 501414600960. Its totient is φ = 68481054720.

The previous prime is 204310414417. The next prime is 204310414439. The reversal of 204310414420 is 24414013402.

204310414420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 1426732 + ... + 1563388.

It is an arithmetic number, because the mean of its divisors is an integer number (5223068760).

Almost surely, 2204310414420 is an apocalyptic number.

204310414420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204310414420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250707300480).

204310414420 is an abundant number, since it is smaller than the sum of its proper divisors (297104186540).

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

204310414420 is a wasteful number, since it uses less digits than its factorization.

204310414420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136913 (or 136911 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 204310414420 its reverse (24414013402), we get a palindrome (228724427822).

The spelling of 204310414420 in words is "two hundred four billion, three hundred ten million, four hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 59 70 118 140 181 236 295 362 413 590 724 826 905 1180 1267 1652 1810 2065 2534 3620 4130 5068 6335 8260 10679 12670 21358 25340 42716 53395 74753 106790 136657 149506 213580 273314 299012 373765 546628 683285 747530 956599 1366570 1495060 1913198 2733140 3826396 4782995 8062763 9565990 16125526 19131980 24734917 32251052 40313815 49469834 56439341 80627630 98939668 112878682 123674585 161255260 173144419 225757364 247349170 282196705 346288838 494698340 564393410 692577676 865722095 1128786820 1459360103 1731444190 2918720206 3462888380 5837440412 7296800515 10215520721 14593601030 20431041442 29187202060 40862082884 51077603605 102155207210 204310414420