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4434242022444 = 22313219163706009
BaseRepresentation
bin100000010000110110101…
…1010111010110000101100
3120200220112221200001010110
41000201231122322300230
51040122311424204234
613233021311340020
7635235436204263
oct100415532726054
916626487601113
104434242022444
11145a608026273
125b7476821610
132621bb5cbb00
141148930a15da
157a528b0d1e9
hex4086d6bac2c

4434242022444 has 144 divisors (see below), whose sum is σ = 11865712387200. Its totient is φ = 1284640860672.

The previous prime is 4434242022443. The next prime is 4434242022473. The reversal of 4434242022444 is 4442202424344.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (4434242022443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5927712 + ... + 6633720.

Almost surely, 24434242022444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4434242022444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5932856193600).

4434242022444 is an abundant number, since it is smaller than the sum of its proper divisors (7431470364756).

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

4434242022444 is a wasteful number, since it uses less digits than its factorization.

4434242022444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706224 (or 706209 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 39.

Adding to 4434242022444 its reverse (4442202424344), we get a palindrome (8876444446788).

The spelling of 4434242022444 in words is "four trillion, four hundred thirty-four billion, two hundred forty-two million, twenty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 163 169 228 247 326 338 489 494 507 652 676 741 978 988 1014 1482 1956 2028 2119 2964 3097 3211 4238 6194 6357 6422 8476 9291 9633 12388 12714 12844 18582 19266 25428 27547 37164 38532 40261 55094 80522 82641 110188 120783 161044 165282 241566 330564 483132 523393 706009 1046786 1412018 1570179 2093572 2118027 2824036 3140358 4236054 6280716 8472108 9178117 13414171 18356234 26828342 27534351 36712468 40242513 53656684 55068702 80485026 110137404 115079467 119315521 160970052 174384223 230158934 238631042 345238401 348768446 357946563 460317868 477262084 523152669 690476802 697536892 715893126 1046305338 1380953604 1431786252 1496033071 2092610676 2186509873 2266994899 2992066142 4373019746 4488099213 4533989798 5984132284 6559529619 6800984697 8746039492 8976198426 9067979596 13119059238 13601969394 17952396852 19448429923 26238118476 27203938788 28424628349 38896859846 56849256698 58345289769 77793719692 85273885047 113698513396 116690579538 170547770094 233381159076 341095540188 369520168537 739040337074 1108560505611 1478080674148 2217121011222 4434242022444