Search a number
-
+
204432441021234 = 232371556919715821
BaseRepresentation
bin101110011110111000100011…
…000001110001001100110010
3222210211112212022101202111100
4232132320203001301030302
5203243410114400134414
62002442544503225230
761026520315334526
oct5636704301611462
9883745768352440
10204432441021234
115a158347460768
121ab18462a48216
138a0bb86709caa
14386a82382bd86
151897b549e7609
hexb9ee23071332

204432441021234 has 48 divisors (see below), whose sum is σ = 454937466536280. Its totient is φ = 66298151324160.

The previous prime is 204432441021233. The next prime is 204432441021283. The reversal of 204432441021234 is 432120144234402.

204432441021234 is a `hidden beast` number, since 2 + 0 + 4 + 4 + 3 + 2 + 4 + 410 + 2 + 1 + 234 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 204345738452025 + 86702569209 = 14294955^2 + 294453^2 .

It is not an unprimeable number, because it can be changed into a prime (204432441021233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 511044 + ... + 20226864.

Almost surely, 2204432441021234 is an apocalyptic number.

204432441021234 is an abundant number, since it is smaller than the sum of its proper divisors (250505025515046).

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

204432441021234 is a wasteful number, since it uses less digits than its factorization.

204432441021234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19731435 (or 19731432 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 204432441021234 its reverse (432120144234402), we get a palindrome (636552585255636).

The spelling of 204432441021234 in words is "two hundred four trillion, four hundred thirty-two billion, four hundred forty-one million, twenty-one thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 15569 31138 46707 93414 140121 280242 576053 1152106 1728159 3456318 5184477 10368954 19715821 39431642 59147463 118294926 177442389 354884778 729485377 1458970754 2188456131 4376912262 6565368393 13130736786 306955617149 613911234298 920866851447 1841733702894 2762600554341 5525201108682 11357357834513 22714715669026 34072073503539 68144147007078 102216220510617 204432441021234