Search a number
-
+
40002420224 = 29136009979
BaseRepresentation
bin100101010000010101…
…000111111000000000
310211020211121111102102
4211100111013320000
51123411104421344
630213222405532
72614203650564
oct452025077000
9124224544372
1040002420224
1115a68361428
1279048908a8
133a0671c050
141d16a3b6a4
151091d13e4e
hex950547e00

40002420224 has 40 divisors (see below), whose sum is σ = 86074933560. Its totient is φ = 18462652416.

The previous prime is 40002420221. The next prime is 40002420281. The reversal of 40002420224 is 42202420004.

It is a super-3 number, since 3×400024202243 (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40002420196 and 40002420205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40002420221) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 2998334 + ... + 3011645.

It is an arithmetic number, because the mean of its divisors is an integer number (2151873339).

Almost surely, 240002420224 is an apocalyptic number.

It is an amenable number.

40002420224 is an abundant number, since it is smaller than the sum of its proper divisors (46072513336).

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

40002420224 is an equidigital number, since it uses as much as digits as its factorization.

40002420224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6010010 (or 6009994 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 40002420224 its reverse (42202420004), we get a palindrome (82204840228).

The spelling of 40002420224 in words is "forty billion, two million, four hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1664 3328 6656 6009979 12019958 24039916 48079832 78129727 96159664 156259454 192319328 312518908 384638656 625037816 769277312 1250075632 1538554624 2500151264 3077109248 5000302528 10000605056 20001210112 40002420224