Search a number
-
+
453120230336 = 2659131916031
BaseRepresentation
bin1101001100000000001…
…00100000001111000000
31121022120201122122222012
412212000010200033000
524410442234332321
6544054403032052
744510512260134
oct6460004401700
91538521578865
10453120230336
11165192614704
127399906b628
133396296a2b7
1417d070753c4
15bbc018105b
hex69801203c0

453120230336 has 56 divisors (see below), whose sum is σ = 921381626880. Its totient is φ = 221019718400.

The previous prime is 453120230291. The next prime is 453120230393. The reversal of 453120230336 is 633032021354.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36641 + ... + 952671.

Almost surely, 2453120230336 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 453120230336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460690813440).

453120230336 is an abundant number, since it is smaller than the sum of its proper divisors (468261396544).

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

453120230336 is a wasteful number, since it uses less digits than its factorization.

453120230336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916233 (or 916223 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 32.

The spelling of 453120230336 in words is "four hundred fifty-three billion, one hundred twenty million, two hundred thirty thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 59 64 118 131 236 262 472 524 944 1048 1888 2096 3776 4192 7729 8384 15458 30916 61832 123664 247328 494656 916031 1832062 3664124 7328248 14656496 29312992 54045829 58625984 108091658 120000061 216183316 240000122 432366632 480000244 864733264 960000488 1729466528 1920000976 3458933056 3840001952 7080003599 7680003904 14160007198 28320014396 56640028792 113280057584 226560115168 453120230336