Search a number
-
+
4224001044312 = 2332746631797331
BaseRepresentation
bin111101011101111010000…
…101001110111101011000
3112221210212220011202122200
4331131322011032331120
51023201223231404222
612552251305450200
7614113453320210
oct75357205167530
915853786152580
104224001044312
111389430519685
125827814a0960
132484246bb37a
1410862ac4d240
1574d21579eac
hex3d77a14ef58

4224001044312 has 96 divisors (see below), whose sum is σ = 13077100058880. Its totient is φ = 1206597954240.

The previous prime is 4224001044287. The next prime is 4224001044323. The reversal of 4224001044312 is 2134401004224.

4224001044312 is a `hidden beast` number, since 4 + 2 + 240 + 0 + 104 + 4 + 312 = 666.

It is a super-3 number, since 3×42240010443123 (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1451487 + ... + 3248817.

It is an arithmetic number, because the mean of its divisors is an integer number (136219792280).

Almost surely, 24224001044312 is an apocalyptic number.

4224001044312 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4224001044312 is an abundant number, since it is smaller than the sum of its proper divisors (8853099014568).

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

4224001044312 is a wasteful number, since it uses less digits than its factorization.

4224001044312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802013 (or 1802006 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 4224001044312 its reverse (2134401004224), we get a palindrome (6358402048536).

The spelling of 4224001044312 in words is "four trillion, two hundred twenty-four billion, one million, forty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 4663 9326 13989 18652 27978 32641 37304 41967 55956 65282 83934 97923 111912 130564 167868 195846 261128 293769 335736 391692 587538 783384 1175076 1797331 2350152 3594662 5391993 7189324 10783986 12581317 14378648 16175979 21567972 25162634 32351958 37743951 43135944 50325268 64703916 75487902 100650536 113231853 129407832 150975804 226463706 301951608 452927412 905854824 8380954453 16761908906 25142863359 33523817812 50285726718 58666681171 67047635624 75428590077 100571453436 117333362342 150857180154 176000043513 201142906872 234666724684 301714360308 352000087026 469333449368 528000130539 603428720616 704000174052 1056000261078 1408000348104 2112000522156 4224001044312