Search a number
-
+
204234423040 = 2851953158449
BaseRepresentation
bin1011111000110101010…
…0011111101100000000
3201112011110002122220101
42332031110133230000
511321233003014130
6233453552252144
720520055644454
oct2761524375400
9645143078811
10204234423040
117968500997a
12336b9841054
131634a68b13b
149c56618664
1554a50a31ca
hex2f8d51fb00

204234423040 has 144 divisors (see below), whose sum is σ = 524672316000. Its totient is φ = 75933351936.

The previous prime is 204234422957. The next prime is 204234423053. The reversal of 204234423040 is 40324432402.

It is a happy number.

204234423040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1209736 + ... + 1368184.

It is an arithmetic number, because the mean of its divisors is an integer number (3643557750).

Almost surely, 2204234423040 is an apocalyptic number.

204234423040 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 204234423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262336158000).

204234423040 is an abundant number, since it is smaller than the sum of its proper divisors (320437892960).

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

204234423040 is a wasteful number, since it uses less digits than its factorization.

204234423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158542 (or 158528 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 204234423040 its reverse (40324432402), we get a palindrome (244558855442).

The spelling of 204234423040 in words is "two hundred four billion, two hundred thirty-four million, four hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 53 64 76 80 95 106 128 152 160 190 212 256 265 304 320 380 424 530 608 640 760 848 1007 1060 1216 1280 1520 1696 2014 2120 2432 3040 3392 4028 4240 4864 5035 6080 6784 8056 8480 10070 12160 13568 16112 16960 20140 24320 32224 33920 40280 64448 67840 80560 128896 158449 161120 257792 316898 322240 633796 644480 792245 1267592 1288960 1584490 2535184 3010531 3168980 5070368 6021062 6337960 8397797 10140736 12042124 12675920 15052655 16795594 20281472 24084248 25351840 30105310 33591188 40562944 41988985 48168496 50703680 60210620 67182376 83977970 96336992 101407360 120421240 134364752 159558143 167955940 192673984 202814720 240842480 268729504 319116286 335911880 385347968 481684960 537459008 638232572 671823760 770695936 797790715 963369920 1074918016 1276465144 1343647520 1595581430 1926739840 2149836032 2552930288 2687295040 3191162860 3853479680 5105860576 5374590080 6382325720 10211721152 10749180160 12764651440 20423442304 25529302880 40846884608 51058605760 102117211520 204234423040