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451141002 = 234131712601
BaseRepresentation
bin11010111000111…
…101110110001010
31011102220100010000
4122320331312022
51410443003002
6112433303430
714115430614
oct3270756612
91142810100
10451141002
11211725a04
12107104b76
1372609150
1443cb7db4
152991661c
hex1ae3dd8a

451141002 has 80 divisors (see below), whose sum is σ = 1152780552. Its totient is φ = 130636800.

The previous prime is 451141001. The next prime is 451141003. The reversal of 451141002 is 200141154.

It is an interprime number because it is at equal distance from previous prime (451141001) and next prime (451141003).

It can be written as a sum of positive squares in 4 ways, for example, as 340070481 + 111070521 = 18441^2 + 10539^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (451141001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29502 + ... + 42102.

Almost surely, 2451141002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 451141002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576390276).

451141002 is an abundant number, since it is smaller than the sum of its proper divisors (701639550).

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

451141002 is a wasteful number, since it uses less digits than its factorization.

451141002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12645 (or 12636 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 451141002 is about 21240.0800845948. The cubic root of 451141002 is about 766.9565602723.

Adding to 451141002 its reverse (200141154), we get a palindrome (651282156).

The spelling of 451141002 in words is "four hundred fifty-one million, one hundred forty-one thousand, two".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 81 102 117 153 162 221 234 306 351 442 459 663 702 918 1053 1326 1377 1989 2106 2754 3978 5967 11934 12601 17901 25202 35802 37803 75606 113409 163813 214217 226818 327626 340227 428434 491439 642651 680454 982878 1020681 1285302 1474317 1927953 2041362 2784821 2948634 3855906 4422951 5569642 5783859 8354463 8845902 11567718 13268853 16708926 17351577 25063389 26537706 34703154 50126778 75190167 150380334 225570501 451141002