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4224218406012 = 22331134071043657
BaseRepresentation
bin111101011110000111000…
…010011001110001111100
3112221211110001011212212000
4331132013002121301330
51023202144402443022
612552325032342300
7614122033004613
oct75360702316174
915854401155760
104224218406012
11138953218a750
12582822244990
1324845a743c67
1410864ba7087a
1574d356b36ac
hex3d787099c7c

4224218406012 has 96 divisors (see below), whose sum is σ = 11950802519040. Its totient is φ = 1279689240960.

The previous prime is 4224218405993. The next prime is 4224218406043. The reversal of 4224218406012 is 2106048124224.

4224218406012 is a `hidden beast` number, since 4 + 2 + 2 + 4 + 2 + 1 + 8 + 40 + 601 + 2 = 666.

It is a super-2 number, since 2×42242184060122 (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3525688 + ... + 4569344.

It is an arithmetic number, because the mean of its divisors is an integer number (124487526240).

Almost surely, 24224218406012 is an apocalyptic number.

It is an amenable number.

4224218406012 is an abundant number, since it is smaller than the sum of its proper divisors (7726584113028).

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

4224218406012 is a wasteful number, since it uses less digits than its factorization.

4224218406012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047088 (or 1047080 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 4224218406012 in words is "four trillion, two hundred twenty-four billion, two hundred eighteen million, four hundred six thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 3407 6814 10221 13628 20442 30663 37477 40884 61326 74954 91989 112431 122652 149908 183978 224862 337293 367956 449724 674586 1011879 1043657 1349172 2023758 2087314 3130971 4047516 4174628 6261942 9392913 11480227 12523884 18785826 22960454 28178739 34440681 37571652 45920908 56357478 68881362 103322043 112714956 137762724 206644086 309966129 413288172 619932258 1239864516 3555739399 7111478798 10667218197 14222957596 21334436394 32001654591 39113133389 42668872788 64003309182 78226266778 96004963773 117339400167 128006618364 156452533556 192009927546 234678800334 352018200501 384019855092 469357600668 704036401002 1056054601503 1408072802004 2112109203006 4224218406012