Search a number
-
+
434025255000 = 2335428935017
BaseRepresentation
bin1100101000011011110…
…10111101000001011000
31112111021222002102011110
412110031322331001120
524102340431130000
6531215523300320
743233356540121
oct6241572750130
91474258072143
10434025255000
11158083a3a057
127014a21a6a0
1331c0b92811c
1417015057048
15b453ad5850
hex650debd058

434025255000 has 80 divisors (see below), whose sum is σ = 1355894943480. Its totient is φ = 115740064000.

The previous prime is 434025254963. The next prime is 434025255061. The reversal of 434025255000 is 552520434.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 14452509 + ... + 14482508.

Almost surely, 2434025255000 is an apocalyptic number.

434025255000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434025255000 is an abundant number, since it is smaller than the sum of its proper divisors (921869688480).

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

434025255000 is a wasteful number, since it uses less digits than its factorization.

434025255000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28935046 (or 28935027 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

Adding to 434025255000 its reverse (552520434), we get a palindrome (434577775434).

The spelling of 434025255000 in words is "four hundred thirty-four billion, twenty-five million, two hundred fifty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 625 750 1000 1250 1500 1875 2500 3000 3750 5000 7500 15000 28935017 57870034 86805051 115740068 144675085 173610102 231480136 289350170 347220204 434025255 578700340 694440408 723375425 868050510 1157400680 1446750850 1736101020 2170126275 2893501700 3472202040 3616877125 4340252550 5787003400 7233754250 8680505100 10850631375 14467508500 17361010200 18084385625 21701262750 28935017000 36168771250 43402525500 54253156875 72337542500 86805051000 108506313750 144675085000 217012627500 434025255000