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243444420144 = 24324141233811
BaseRepresentation
bin1110001010111001101…
…0110000111000110000
3212021101001121220011100
43202232122300320300
512442033232421034
6303500430444400
723405531300022
oct3425632607060
9767331556140
10243444420144
1194276035062
123b221063700
1319c58b7ac63
14bad5d00012
1564ec53a099
hex38ae6b0e30

243444420144 has 60 divisors (see below), whose sum is σ = 697923501912. Its totient is φ = 79168915200.

The previous prime is 243444420143. The next prime is 243444420169. The reversal of 243444420144 is 441024444342.

It is a happy number.

243444420144 is a `hidden beast` number, since 2 + 4 + 3 + 4 + 444 + 201 + 4 + 4 = 666.

It is a super-3 number, since 3×2434444201443 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 243444420099 and 243444420108.

It is not an unprimeable number, because it can be changed into a prime (243444420143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20611002 + ... + 20622809.

Almost surely, 2243444420144 is an apocalyptic number.

243444420144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

243444420144 is an abundant number, since it is smaller than the sum of its proper divisors (454479081768).

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

243444420144 is a wasteful number, since it uses less digits than its factorization.

243444420144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41233866 (or 41233857 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 243444420144 its reverse (441024444342), we get a palindrome (684468864486).

The spelling of 243444420144 in words is "two hundred forty-three billion, four hundred forty-four million, four hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 656 738 984 1476 1968 2952 5904 41233811 82467622 123701433 164935244 247402866 329870488 371104299 494805732 659740976 742208598 989611464 1484417196 1690586251 1979222928 2968834392 3381172502 5071758753 5937668784 6762345004 10143517506 13524690008 15215276259 20287035012 27049380016 30430552518 40574070024 60861105036 81148140048 121722210072 243444420144