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44212222221244 = 227111922733282211
BaseRepresentation
bin10100000110101111101011…
…10011001101101110111100
312210112122110210011120022221
422003113311303031232330
521243333112342034434
6234010451533015124
712212141040135010
oct1203276563155674
9183478423146287
1044212222221244
11130a6330919630
124b6075b9244a4
131b8926b8b162c
14acbc50c42540
1551a0dc1652b4
hex2835f5ccdbbc

44212222221244 has 96 divisors (see below), whose sum is σ = 101987347875840. Its totient is φ = 16247043633600.

The previous prime is 44212222221067. The next prime is 44212222221331.

44212222221244 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15312702 + ... + 17969509.

It is an arithmetic number, because the mean of its divisors is an integer number (1062368207040).

Almost surely, 244212222221244 is an apocalyptic number.

44212222221244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44212222221244 is an abundant number, since it is smaller than the sum of its proper divisors (57775125654596).

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

44212222221244 is a wasteful number, since it uses less digits than its factorization.

44212222221244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33282479 (or 33282477 counting only the distinct ones).

The product of its digits is 65536, while the sum is 34.

It can be divided in two parts, 4421222 and 2221244, that added together give a palindrome (6642466).

The spelling of 44212222221244 in words is "forty-four trillion, two hundred twelve billion, two hundred twenty-two million, two hundred twenty-one thousand, two hundred forty-four".

Divisors: 1 2 4 7 11 14 19 22 28 38 44 76 77 133 154 209 227 266 308 418 454 532 836 908 1463 1589 2497 2926 3178 4313 4994 5852 6356 8626 9988 17252 17479 30191 34958 47443 60382 69916 94886 120764 189772 332101 664202 1328404 33282211 66564422 133128844 232975477 366104321 465950954 632362009 732208642 931901908 1264724018 1464417284 2529448036 2562730247 4426534063 5125460494 6955982099 7555061897 8853068126 10250920988 13911964198 15110123794 17706136252 27823928396 30220247588 48691874693 52885433279 83105680867 97383749386 105770866558 143546176043 166211361734 194767498772 211541733116 287092352086 332422723468 574184704172 581739766069 1004823232301 1163479532138 1579007936473 2009646464602 2326959064276 3158015872946 4019292929204 6316031745892 11053055555311 22106111110622 44212222221244