Search a number
-
+
204140141425152 = 293244301245969
BaseRepresentation
bin101110011010101000010100…
…100111010011001000000000
3222202210121101110010210002100
4232122220110213103020000
5203224113002201101102
62002100404124350400
760666432002634312
oct5632502447231000
9882717343123070
10204140141425152
115a055390a03949
121aa8b8883a5400
1389ba44303550a
14385a6152877b2
1518902483a4a1c
hexb9aa149d3200

204140141425152 has 60 divisors (see below), whose sum is σ = 589162270155030. Its totient is φ = 68046713806848.

The previous prime is 204140141425133. The next prime is 204140141425177. The reversal of 204140141425152 is 251524141041402.

It is a happy number.

204140141425152 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 40 + 1 + 41 + 425 + 152 = 666.

It can be written as a sum of positive squares in only one way, i.e., 187545794109696 + 16594347315456 = 13694736^2 + 4073616^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 5 ways as a sum of consecutive naturals, for example, 22150618377 + ... + 22150627592.

Almost surely, 2204140141425152 is an apocalyptic number.

It is an amenable number.

204140141425152 is an abundant number, since it is smaller than the sum of its proper divisors (385022128729878).

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

204140141425152 is an equidigital number, since it uses as much as digits as its factorization.

204140141425152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44301245993 (or 44301245974 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

Adding to 204140141425152 its reverse (251524141041402), we get a palindrome (455664282466554).

The spelling of 204140141425152 in words is "two hundred four trillion, one hundred forty billion, one hundred forty-one million, four hundred twenty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 44301245969 88602491938 132903737907 177204983876 265807475814 354409967752 398711213721 531614951628 708819935504 797422427442 1063229903256 1417639871008 1594844854884 2126459806512 2835279742016 3189689709768 4252919613024 5670559484032 6379379419536 8505839226048 11341118968064 12758758839072 17011678452096 22682237936128 25517517678144 34023356904192 51035035356288 68046713808384 102070070712576 204140141425152