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4224288127128 = 2332946313108811
BaseRepresentation
bin111101011110001011001…
…100010111100010011000
3112221211121220101002020120
4331132023030113202120
51023202320230032003
612552340002553240
7614123540430306
oct75361314274230
915854556332216
104224288127128
111389568580203
12582841668820
1324846c015864
1410865701d276
1574d3b886853
hex3d78b317898

4224288127128 has 64 divisors (see below), whose sum is σ = 10948479782400. Its totient is φ = 1356604529280.

The previous prime is 4224288127127. The next prime is 4224288127133. The reversal of 4224288127128 is 8217218824224.

It is a super-2 number, since 2×42242881271282 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4224288127127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6232158 + ... + 6876653.

It is an arithmetic number, because the mean of its divisors is an integer number (171069996600).

Almost surely, 24224288127128 is an apocalyptic number.

It is an amenable number.

4224288127128 is an abundant number, since it is smaller than the sum of its proper divisors (6724191655272).

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

4224288127128 is a wasteful number, since it uses less digits than its factorization.

4224288127128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13109312 (or 13109308 counting only the distinct ones).

The product of its digits is 1835008, while the sum is 51.

The spelling of 4224288127128 in words is "four trillion, two hundred twenty-four billion, two hundred eighty-eight million, one hundred twenty-seven thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 463 696 926 1389 1852 2778 3704 5556 11112 13427 26854 40281 53708 80562 107416 161124 322248 13108811 26217622 39326433 52435244 78652866 104870488 157305732 314611464 380155519 760311038 1140466557 1520622076 2280933114 3041244152 4561866228 6069379493 9123732456 12138758986 18208138479 24277517972 36416276958 48555035944 72832553916 145665107832 176012005297 352024010594 528036015891 704048021188 1056072031782 1408096042376 2112144063564 4224288127128