Search a number
-
+
433054502000 = 24532137101323
BaseRepresentation
bin1100100110101000000…
…11110100110001110000
31112101210022110001101122
412103110003310301300
524043343423031000
6530535324521412
743200331350341
oct6232403646160
91471708401348
10433054502000
11157725a81a4a
126bb190b0268
1331ab578b273
1416d621600c8
15b3e8780085
hex64d40f4c70

433054502000 has 80 divisors (see below), whose sum is σ = 1047626123232. Its totient is φ = 173139033600.

The previous prime is 433054501981. The next prime is 433054502011. The reversal of 433054502000 is 205450334.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4223339 + ... + 4324661.

Almost surely, 2433054502000 is an apocalyptic number.

433054502000 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 433054502000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523813061616).

433054502000 is an abundant number, since it is smaller than the sum of its proper divisors (614571621232).

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

433054502000 is a wasteful number, since it uses less digits than its factorization.

433054502000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103483 (or 103467 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 26.

Adding to 433054502000 its reverse (205450334), we get a palindrome (433259952334).

The spelling of 433054502000 in words is "four hundred thirty-three billion, fifty-four million, five hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 2137 4274 8548 10685 17096 21370 34192 42740 53425 85480 101323 106850 170960 202646 213700 267125 405292 427400 506615 534250 810584 854800 1013230 1068500 1621168 2026460 2137000 2533075 4052920 4274000 5066150 8105840 10132300 12665375 20264600 25330750 40529200 50661500 101323000 202646000 216527251 433054502 866109004 1082636255 1732218008 2165272510 3464436016 4330545020 5413181275 8661090040 10826362550 17322180080 21652725100 27065906375 43305450200 54131812750 86610900400 108263625500 216527251000 433054502000