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40004004399 = 3149269443751
BaseRepresentation
bin100101010000011011…
…001010101000101111
310211020221120222111120
4211100123022220233
51123412011120044
630213320352023
72614223266302
oct452033125057
9124227528446
1040004004399
1115a69243667
127905315613
133a06b55128
141d16d30b39
151092028519
hex9506caa2f

40004004399 has 32 divisors (see below), whose sum is σ = 54089856000. Its totient is φ = 26297232000.

The previous prime is 40004004371. The next prime is 40004004401. The reversal of 40004004399 is 99340040004.

It is a happy number.

It is not a de Polignac number, because 40004004399 - 224 = 39987227183 is a prime.

It is a super-2 number, since 2×400040043992 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40004004199) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 53267274 + ... + 53268024.

It is an arithmetic number, because the mean of its divisors is an integer number (1690308000).

Almost surely, 240004004399 is an apocalyptic number.

40004004399 is a deficient number, since it is larger than the sum of its proper divisors (14085851601).

40004004399 is a wasteful number, since it uses less digits than its factorization.

40004004399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615.

The product of its (nonzero) digits is 15552, while the sum is 33.

The spelling of 40004004399 in words is "forty billion, four million, four thousand, three hundred ninety-nine".

Divisors: 1 3 149 269 443 447 751 807 1329 2253 40081 66007 111899 119167 120243 198021 202019 332693 335697 357501 606057 998079 17755883 30100831 49571257 53267649 89494417 90302493 148713771 268483251 13334668133 40004004399