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454225240304 = 241119913819391
BaseRepresentation
bin1101001110000011110…
…11110010000011110000
31121102102201220222200022
412213001323302003300
524420223130142204
6544400155143012
744550060560423
oct6470173620360
91542381828608
10454225240304
111656aa340a90
1274047144a68
1333aaa883454
1417dadb199ba
15bc371a65be
hex69c1ef20f0

454225240304 has 80 divisors (see below), whose sum is σ = 965692953600. Its totient is φ = 205257888000.

The previous prime is 454225240303. The next prime is 454225240321. The reversal of 454225240304 is 403042522454.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454225240303) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 48363449 + ... + 48372839.

It is an arithmetic number, because the mean of its divisors is an integer number (12071161920).

Almost surely, 2454225240304 is an apocalyptic number.

454225240304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 454225240304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482846476800).

454225240304 is an abundant number, since it is smaller than the sum of its proper divisors (511467713296).

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

454225240304 is a wasteful number, since it uses less digits than its factorization.

454225240304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10990 (or 10984 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 35.

Adding to 454225240304 its reverse (403042522454), we get a palindrome (857267762758).

The spelling of 454225240304 in words is "four hundred fifty-four billion, two hundred twenty-five million, two hundred forty thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 44 88 176 199 398 796 1381 1592 2189 2762 3184 4378 5524 8756 9391 11048 15191 17512 18782 22096 30382 35024 37564 60764 75128 103301 121528 150256 206602 243056 274819 413204 549638 826408 1099276 1652816 1868809 2198552 3023009 3737618 4397104 6046018 7475236 12092036 12968971 14950472 20556899 24184072 25937942 29900944 41113798 48368144 51875884 82227596 103751768 142658681 164455192 207503536 285317362 328910384 570634724 1141269448 2282538896 2580825229 5161650458 10323300916 20646601832 28389077519 41293203664 56778155038 113556310076 227112620152 454225240304