Search a number
-
+
144441430443044 = 2273181827703321
BaseRepresentation
bin100000110101111001100100…
…001001110000010000100100
3200221102110120122012011222122
4200311321210021300100210
5122413012022143134134
61231111251015245112
742265356204122000
oct4065714411602044
9627373518164878
10144441430443044
11420292a29a5289
1214249872979798
1362799cb377007
142795006d55700
1511a73be23202e
hex835e64270424

144441430443044 has 96 divisors (see below), whose sum is σ = 296765873913600. Its totient is φ = 61486935148800.

The previous prime is 144441430442977. The next prime is 144441430443049. The reversal of 144441430443044 is 440344034144441.

It is a junction number, because it is equal to n+sod(n) for n = 144441430442986 and 144441430443004.

It is not an unprimeable number, because it can be changed into a prime (144441430443049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205018904 + ... + 205722224.

It is an arithmetic number, because the mean of its divisors is an integer number (3091311186600).

Almost surely, 2144441430443044 is an apocalyptic number.

144441430443044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144441430443044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148382936956800).

144441430443044 is an abundant number, since it is smaller than the sum of its proper divisors (152324443470556).

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

144441430443044 is a wasteful number, since it uses less digits than its factorization.

144441430443044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704354 (or 704338 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 44.

Adding to 144441430443044 its reverse (440344034144441), we get a palindrome (584785464587485).

The spelling of 144441430443044 in words is "one hundred forty-four trillion, four hundred forty-one billion, four hundred thirty million, four hundred forty-three thousand, forty-four".

Divisors: 1 2 4 7 14 28 49 98 181 196 343 362 686 724 827 1267 1372 1654 2534 3308 5068 5789 8869 11578 17738 23156 35476 40523 62083 81046 124166 149687 162092 248332 283661 299374 567322 598748 703321 1047809 1134644 1406642 2095618 2813284 4191236 4923247 7334663 9846494 14669326 19692988 29338652 34462729 51342641 68925458 102685282 127301101 137850916 205370564 241239103 254602202 482478206 509204404 581646467 891107707 964956412 1163292934 1782215414 2326585868 3564430828 4071525269 6237753949 8143050538 12475507898 16286101076 24951015796 28500676883 43664277643 57001353766 87328555286 105278010527 114002707532 174657110572 199504738181 210556021054 399009476362 421112042108 736946073689 798018952724 1473892147378 2947784294756 5158622515823 10317245031646 20634490063292 36110357610761 72220715221522 144441430443044