Search a number
-
+
422039315232 = 25321465414289
BaseRepresentation
bin1100010010000111000…
…00001110001100100000
31111100100122102120211100
412021003200032030200
523403314031041412
6521514315114400
742330345663243
oct6110340161440
91440318376740
10422039315232
11152a93211107
1269964142a00
1330a4b677282
14165d925925a
15aea16e0edc
hex624380e320

422039315232 has 36 divisors (see below), whose sum is σ = 1200174303510. Its totient is φ = 140679771648.

The previous prime is 422039315213. The next prime is 422039315233. The reversal of 422039315232 is 232513930224.

422039315232 is a `hidden beast` number, since 4 + 2 + 20 + 393 + 15 + 232 = 666.

It can be written as a sum of positive squares in only one way, i.e., 395495085456 + 26544229776 = 628884^2 + 162924^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (422039315233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 732706857 + ... + 732707432.

Almost surely, 2422039315232 is an apocalyptic number.

It is an amenable number.

422039315232 is an abundant number, since it is smaller than the sum of its proper divisors (778134988278).

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

422039315232 is a wasteful number, since it uses less digits than its factorization.

422039315232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465414305 (or 1465414294 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 422039315232 in words is "four hundred twenty-two billion, thirty-nine million, three hundred fifteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1465414289 2930828578 4396242867 5861657156 8792485734 11723314312 13188728601 17584971468 23446628624 26377457202 35169942936 46893257248 52754914404 70339885872 105509828808 140679771744 211019657616 422039315232