Search a number
-
+
4441023214404 = 2237192831764487
BaseRepresentation
bin100000010100000000110…
…0111000111001101000100
3120201120001112200021201020
41000220001213013031010
51040230203420330104
613240102232031140
7635565460323240
oct100500147071504
916646045607636
104441023214404
111462477911147
125b88498324b0
13262a2c493a2a
14114d37941420
157a7c41052d9
hex40a019c7344

4441023214404 has 144 divisors (see below), whose sum is σ = 12649430965248. Its totient is φ = 1187597889216.

The previous prime is 4441023214403. The next prime is 4441023214417. The reversal of 4441023214404 is 4044123201444.

It is not an unprimeable number, because it can be changed into a prime (4441023214403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1634649 + ... + 3399135.

It is an arithmetic number, because the mean of its divisors is an integer number (87843270592).

Almost surely, 24441023214404 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 4441023214404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6324715482624).

4441023214404 is an abundant number, since it is smaller than the sum of its proper divisors (8208407750844).

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

4441023214404 is a wasteful number, since it uses less digits than its factorization.

4441023214404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764622 (or 1764601 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 4441023214404 its reverse (4044123201444), we get a palindrome (8485146415848).

The spelling of 4441023214404 in words is "four trillion, four hundred forty-one billion, twenty-three million, two hundred fourteen thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 83 84 114 133 166 228 249 266 332 361 399 498 532 581 722 798 996 1083 1162 1444 1577 1596 1743 2166 2324 2527 3154 3486 4332 4731 5054 6308 6972 7581 9462 10108 11039 15162 18924 22078 29963 30324 33117 44156 59926 66234 89889 119852 132468 179778 209741 359556 419482 629223 838964 1258446 1764487 2516892 3528974 5293461 7057948 10586922 12351409 21173844 24702818 33525253 37054227 49405636 67050506 74108454 100575759 134101012 146452421 148216908 201151518 234676771 292904842 402303036 439357263 469353542 585809684 636979807 704030313 878714526 938707084 1025166947 1273959614 1408060626 1757429052 1910939421 2050333894 2547919228 2782595999 2816121252 3075500841 3821878842 4100667788 4458858649 5565191998 6151001682 7643757684 8347787997 8917717298 11130383996 12302003364 13376575947 16695575994 17835434596 19478171993 26753151894 33391151988 38956343986 52869323981 53506303788 58434515979 77912687972 105738647962 116869031958 158607971943 211477295924 233738063916 317215943886 370085267867 634431887772 740170535734 1110255803601 1480341071468 2220511607202 4441023214404