Search a number
-
+
4322405134000 = 24532393965329
BaseRepresentation
bin111110111001100011011…
…011000010111010110000
3120022012212211211110112001
4332321203123002322300
51031304241203242000
613105404022543344
7624166141301032
oct76714333027260
916265784743461
104322405134000
111417138016738
12599864897b54
132547a7697685
1410d2c3d61c52
157768062246a
hex3ee636c2eb0

4322405134000 has 80 divisors (see below), whose sum is σ = 10905992061120. Its totient is φ = 1653789772800.

The previous prime is 4322405133919. The next prime is 4322405134037. The reversal of 4322405134000 is 4315042234.

It is a happy number.

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

It is a super-2 number, since 2×43224051340002 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4322405134000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46936665 + ... + 47028664.

It is an arithmetic number, because the mean of its divisors is an integer number (136324900764).

Almost surely, 24322405134000 is an apocalyptic number.

4322405134000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4322405134000 is an abundant number, since it is smaller than the sum of its proper divisors (6583586927120).

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

4322405134000 is a wasteful number, since it uses less digits than its factorization.

4322405134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93965375 (or 93965359 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The spelling of 4322405134000 in words is "four trillion, three hundred twenty-two billion, four hundred five million, one hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 250 368 400 460 500 575 920 1000 1150 1840 2000 2300 2875 4600 5750 9200 11500 23000 46000 93965329 187930658 375861316 469826645 751722632 939653290 1503445264 1879306580 2161202567 2349133225 3758613160 4322405134 4698266450 7517226320 8644810268 9396532900 10806012835 11745666125 17289620536 18793065800 21612025670 23491332250 34579241072 37586131600 43224051340 46982664500 54030064175 86448102680 93965329000 108060128350 172896205360 187930658000 216120256700 270150320875 432240513400 540300641750 864481026800 1080601283500 2161202567000 4322405134000