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144440110323540 = 223251963116692117
BaseRepresentation
bin100000110101111000010101…
…011101111001011101010100
3200221102100011122011011110200
4200311320111131321131110
5122413001321220323130
61231110512020420500
742265311404234043
oct4065702535713524
9627370148134420
10144440110323540
1142028785805a29
1214249564847730
13627984aa16405
142794d1d8b855a
1511a73433ba760
hex835e15779754

144440110323540 has 144 divisors (see below), whose sum is σ = 461267885070720. Its totient is φ = 36484345693440.

The previous prime is 144440110323497. The next prime is 144440110323541. The reversal of 144440110323540 is 45323011044441.

It is a happy number.

144440110323540 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 4 + 0 + 1 + 103 + 2 + 3 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 144440110323495 and 144440110323504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144440110323541) 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, 18237562 + ... + 24929678.

It is an arithmetic number, because the mean of its divisors is an integer number (3203249201880).

Almost surely, 2144440110323540 is an apocalyptic number.

144440110323540 is a gapful number since it is divisible by the number (10) 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 144440110323540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230633942535360).

144440110323540 is an abundant number, since it is smaller than the sum of its proper divisors (316827774747180).

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

144440110323540 is a wasteful number, since it uses less digits than its factorization.

144440110323540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6698462 (or 6698457 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 144440110323540 its reverse (45323011044441), we get a palindrome (189763121367981).

The spelling of 144440110323540 in words is "one hundred forty-four trillion, four hundred forty billion, one hundred ten million, three hundred twenty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 6311 12622 18933 25244 31555 37866 56799 63110 75732 94665 113598 119909 126220 189330 227196 239818 283995 359727 378660 479636 567990 599545 719454 1079181 1135980 1199090 1438908 1798635 2158362 2398180 3597270 4316724 5395905 6692117 7194540 10791810 13384234 20076351 21583620 26768468 33460585 40152702 60229053 66921170 80305404 100381755 120458106 127150223 133842340 200763510 240916212 254300446 301145265 381450669 401527020 508600892 602290530 635751115 762901338 1144352007 1204581060 1271502230 1525802676 1907253345 2288704014 2543004460 3814506690 4577408028 5721760035 7629013380 11443520070 22887040140 42233950387 84467900774 126701851161 168935801548 211169751935 253403702322 380105553483 422339503870 506807404644 633509255805 760211106966 802445057353 844679007740 1267018511610 1520422213932 1604890114706 1900527767415 2407335172059 2534037023220 3209780229412 3801055534830 4012225286765 4814670344118 7222005516177 7602111069660 8024450573530 9629340688236 12036675860295 14444011032354 16048901147060 24073351720590 28888022064708 36110027580885 48146703441180 72220055161770 144440110323540