Search a number
-
+
425445344000 = 285316098263
BaseRepresentation
bin1100011000011101000…
…01001100001100000000
31111200011000110202220222
412030032201030030000
523432303002002000
6523240310122212
742510634520255
oct6141641141400
91450130422828
10425445344000
11154480894a16
126a554950368
1331172201201
141683d75542c
15b100739a85
hex630e84c300

425445344000 has 144 divisors (see below), whose sum is σ = 1060624568640. Its totient is φ = 170051788800.

The previous prime is 425445343997. The next prime is 425445344011. The reversal of 425445344000 is 443544524.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 51483869 + ... + 51492131.

Almost surely, 2425445344000 is an apocalyptic number.

425445344000 is a gapful number since it is divisible by the number (40) 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 425445344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530312284320).

425445344000 is an abundant number, since it is smaller than the sum of its proper divisors (635179224640).

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

425445344000 is an equidigital number, since it uses as much as digits as its factorization.

425445344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9903 (or 9879 counting only the distinct ones).

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

Adding to 425445344000 its reverse (443544524), we get a palindrome (425888888524).

The spelling of 425445344000 in words is "four hundred twenty-five billion, four hundred forty-five million, three hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 640 800 1000 1280 1600 1609 2000 3200 3218 4000 6400 6436 8000 8045 8263 12872 16000 16090 16526 25744 32000 32180 33052 40225 41315 51488 64360 66104 80450 82630 102976 128720 132208 160900 165260 201125 205952 206575 257440 264416 321800 330520 402250 411904 413150 514880 528832 643600 661040 804500 826300 1029760 1032875 1057664 1287200 1322080 1609000 1652600 2059520 2065750 2115328 2574400 2644160 3218000 3305200 4131500 5148800 5288320 6436000 6610400 8263000 10297600 10576640 12872000 13220800 13295167 16526000 25744000 26441600 26590334 33052000 51488000 52883200 53180668 66104000 66475835 106361336 132208000 132951670 212722672 264416000 265903340 332379175 425445344 531806680 664758350 850890688 1063613360 1329516700 1661895875 1701781376 2127226720 2659033400 3323791750 3403562752 4254453440 5318066800 6647583500 8508906880 10636133600 13295167000 17017813760 21272267200 26590334000 42544534400 53180668000 85089068800 106361336000 212722672000 425445344000