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4224444431040 = 263251466820983
BaseRepresentation
bin111101011110010100100…
…000100111101011000000
3112221212000210111010220100
4331132110200213223000
51023203130233243130
612552403305042400
7614130446123661
oct75362440475300
915855023433810
104224444431040
111389638828699
12582885a86400
13248495510b92
1410866daa9368
1574d4a45dc60
hex3d794827ac0

4224444431040 has 84 divisors (see below), whose sum is σ = 14530328667504. Its totient is φ = 1126518514176.

The previous prime is 4224444431017. The next prime is 4224444431059. The reversal of 4224444431040 is 401344444224.

It is a happy number.

4224444431040 is a `hidden beast` number, since 4 + 224 + 44 + 44 + 310 + 40 = 666.

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 = 4224444430986 and 4224444431004.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 733407612 + ... + 733413371.

Almost surely, 24224444431040 is an apocalyptic number.

4224444431040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4224444431040 is an abundant number, since it is smaller than the sum of its proper divisors (10305884236464).

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

4224444431040 is a wasteful number, since it uses less digits than its factorization.

4224444431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466821006 (or 1466820993 counting only the distinct ones).

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

Adding to 4224444431040 its reverse (401344444224), we get a palindrome (4625788875264).

The spelling of 4224444431040 in words is "four trillion, two hundred twenty-four billion, four hundred forty-four million, four hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 1466820983 2933641966 4400462949 5867283932 7334104915 8800925898 11734567864 13201388847 14668209830 17601851796 22002314745 23469135728 26402777694 29336419660 35203703592 44004629490 46938271456 52805555388 58672839320 66006944235 70407407184 88009258980 93876542912 105611110776 117345678640 132013888470 140814814368 176018517960 211222221552 234691357280 264027776940 281629628736 352037035920 422444443104 469382714560 528055553880 704074071840 844888886208 1056111107760 1408148143680 2112222215520 4224444431040