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4021444400303 = 1117219312239631
BaseRepresentation
bin111010100001010000110…
…000111101010010101111
3112020110001101010002220102
4322201100300331102233
51011341404231302203
612315232005541315
7563353066255451
oct72412060752257
915213041102812
104021444400303
111310537585a50
1254b47171483b
132322b37c94b5
14dc8d33b42d1
156e91893b888
hex3a850c3d4af

4021444400303 has 96 divisors (see below), whose sum is σ = 5087027527680. Its totient is φ = 3140088768000.

The previous prime is 4021444400209. The next prime is 4021444400329. The reversal of 4021444400303 is 3030044441204.

It is a happy number.

4021444400303 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4021444400303 - 28 = 4021444400047 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4021444420303) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 417547298 + ... + 417556928.

It is an arithmetic number, because the mean of its divisors is an integer number (52989870080).

Almost surely, 24021444400303 is an apocalyptic number.

4021444400303 is a deficient number, since it is larger than the sum of its proper divisors (1065583127377).

4021444400303 is a wasteful number, since it uses less digits than its factorization.

4021444400303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9949 (or 9932 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 4021444400303 its reverse (3030044441204), we get a palindrome (7051488841507).

The spelling of 4021444400303 in words is "four trillion, twenty-one billion, four hundred forty-four million, four hundred thousand, three hundred three".

Divisors: 1 11 17 19 31 187 209 223 289 323 341 527 589 2453 3179 3553 3791 4237 5491 5797 6479 6913 8959 9631 10013 41701 46607 60401 64447 72029 76043 98549 105941 110143 117521 131347 163727 170221 182989 298561 708917 792319 1224493 1292731 1444817 1800997 1872431 1997857 2012879 2147713 2232899 2783359 3110813 3284171 5075537 5672659 13469423 21976427 23624843 24561889 30616949 34218943 36511121 37959283 40806547 52883821 55830907 62399249 66579103 86284129 96435203 401622331 417552113 448872017 581722031 620689057 693711299 732370133 949125419 1060787233 1131844751 1265002957 1639398451 6827579627 7630824289 11793092083 12450292261 13915032527 18033382961 19241360767 21505050269 129724012913 211654968437 236555552959 365585854573 4021444400303