Search a number
-
+
4224452712426 = 23217223281125651
BaseRepresentation
bin111101011110010101000…
…000001101011111101010
3112221212001101001212211100
4331132111000031133222
51023203134343244201
612552404202342230
7614130606404652
oct75362500153752
915855041055740
104224452712426
111389642474611
125828887ba976
132484971503cb
14108670c23362
1574d4b047886
hex3d79500d7ea

4224452712426 has 144 divisors (see below), whose sum is σ = 10181991688128. Its totient is φ = 1263174528000.

The previous prime is 4224452712419. The next prime is 4224452712437. The reversal of 4224452712426 is 6242172544224.

4224452712426 is a `hidden beast` number, since 42 + 2 + 44 + 527 + 1 + 2 + 42 + 6 = 666.

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 71 ways as a sum of consecutive naturals, for example, 33557701 + ... + 33683351.

It is an arithmetic number, because the mean of its divisors is an integer number (70708275612).

Almost surely, 24224452712426 is an apocalyptic number.

4224452712426 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4224452712426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5090995844064).

4224452712426 is an abundant number, since it is smaller than the sum of its proper divisors (5957538975702).

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

4224452712426 is a wasteful number, since it uses less digits than its factorization.

4224452712426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125997 (or 125977 counting only the distinct ones).

The product of its digits is 1720320, while the sum is 45.

The spelling of 4224452712426 in words is "four trillion, two hundred twenty-four billion, four hundred fifty-two million, seven hundred twelve thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 17 18 23 34 46 51 69 102 138 153 207 281 289 306 391 414 562 578 782 843 867 1173 1686 1734 2346 2529 2601 3519 4777 5058 5202 6463 6647 7038 9554 12926 13294 14331 19389 19941 28662 38778 39882 42993 58167 59823 81209 85986 109871 116334 119646 125651 162418 219742 243627 251302 329613 376953 487254 659226 730881 753906 988839 1130859 1461762 1867807 1977678 2136067 2261718 2889973 3735614 4272134 5603421 5779946 6408201 8669919 11206842 12816402 16810263 17339838 19224603 26009757 33620526 35307931 36313139 38449206 49129541 52019514 70615862 72626278 98259082 105923793 108939417 147388623 211847586 217878834 294777246 317771379 326818251 442165869 600234827 635542758 653636502 812082413 835202197 884331738 1200469654 1624164826 1670404394 1800704481 2436247239 2505606591 3601408962 4872494478 5011213182 5402113443 7308741717 7516819773 10203992059 10804226886 13805401021 14617483434 15033639546 20407984118 27610802042 30611976177 41416203063 61223952354 82832406126 91835928531 124248609189 183671857062 234691817357 248497218378 469383634714 704075452071 1408150904142 2112226356213 4224452712426