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204014434312 = 23135991136497
BaseRepresentation
bin1011111000000000110…
…1010011100000001000
3201111121010011002002201
42332000031103200020
511320310143344222
6233420053205544
720511445036063
oct2760015234010
9644533132081
10204014434312
1179581914107
12336580308b4
1316313c258b0
149c353118da
155490aeb427
hex2f80353808

204014434312 has 64 divisors (see below), whose sum is σ = 419405817600. Its totient is φ = 92460426240.

The previous prime is 204014434307. The next prime is 204014434313. The reversal of 204014434312 is 213434410402.

It is not an unprimeable number, because it can be changed into a prime (204014434313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5571648 + ... + 5608144.

It is an arithmetic number, because the mean of its divisors is an integer number (6553215900).

Almost surely, 2204014434312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204014434312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209702908800).

204014434312 is an abundant number, since it is smaller than the sum of its proper divisors (215391383288).

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

204014434312 is a wasteful number, since it uses less digits than its factorization.

204014434312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37486 (or 37482 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 204014434312 its reverse (213434410402), we get a palindrome (417448844714).

The spelling of 204014434312 in words is "two hundred four billion, fourteen million, four hundred thirty-four thousand, three hundred twelve".

Divisors: 1 2 4 8 13 26 52 59 104 118 236 472 767 911 1534 1822 3068 3644 6136 7288 11843 23686 36497 47372 53749 72994 94744 107498 145988 214996 291976 429992 474461 698737 948922 1397474 1897844 2153323 2794948 3795688 4306646 5589896 8613292 17226584 27993199 33248767 55986398 66497534 111972796 132995068 223945592 265990136 432233971 864467942 1728935884 1961677253 3457871768 3923354506 7846709012 15693418024 25501804289 51003608578 102007217156 204014434312