Search a number
-
+
4223124020400 = 243523519270017
BaseRepresentation
bin111101011101000101110…
…011101001110010110000
3112221201121202220100000120
4331131011303221302300
51023142424222123100
612552024300050240
7614052643614165
oct75350563516260
915851552810016
104223124020400
11138902045a62a
12582577833980
13248314aaa8cc
1410858659406c
1574cbe58b0a0
hex3d745ce9cb0

4223124020400 has 60 divisors (see below), whose sum is σ = 13528073949192. Its totient is φ = 1126166405120.

The previous prime is 4223124020387. The next prime is 4223124020473. The reversal of 4223124020400 is 40204213224.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 11 ways as a sum of consecutive naturals, for example, 1759633809 + ... + 1759636208.

Almost surely, 24223124020400 is an apocalyptic number.

4223124020400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4223124020400 is an abundant number, since it is smaller than the sum of its proper divisors (9304949928792).

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

4223124020400 is a wasteful number, since it uses less digits than its factorization.

4223124020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3519270038 (or 3519270027 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 4223124020400 its reverse (40204213224), we get a palindrome (4263328233624).

The spelling of 4223124020400 in words is "four trillion, two hundred twenty-three billion, one hundred twenty-four million, twenty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 3519270017 7038540034 10557810051 14077080068 17596350085 21115620102 28154160136 35192700170 42231240204 52789050255 56308320272 70385400340 84462480408 87981750425 105578100510 140770800680 168924960816 175963500850 211156201020 263945251275 281541601360 351927001700 422312402040 527890502550 703854003400 844624804080 1055781005100 1407708006800 2111562010200 4223124020400