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144442203031014 = 237471031543460409
BaseRepresentation
bin100000110101111010010010…
…001100111100010111100110
3200221102112120110221201102220
4200311322102030330113212
5122413020112433443024
61231111455414413210
742265414305036030
oct4065722214742746
9627375513851386
10144442203031014
114202965a013039
1214249a49661206
136279ac244cb65
14279507b7c6c50
1511a7416e91e79
hex835e9233c5e6

144442203031014 has 128 divisors (see below), whose sum is σ = 340673108705280. Its totient is φ = 39972976153344.

The previous prime is 144442203030991. The next prime is 144442203031079. The reversal of 144442203031014 is 410130302244441.

It is a happy number.

144442203031014 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 313495642 + ... + 313956050.

It is an arithmetic number, because the mean of its divisors is an integer number (2661508661760).

Almost surely, 2144442203031014 is an apocalyptic number.

144442203031014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144442203031014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170336554352640).

144442203031014 is an abundant number, since it is smaller than the sum of its proper divisors (196230905674266).

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

144442203031014 is a wasteful number, since it uses less digits than its factorization.

144442203031014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462114.

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 144442203031014 its reverse (410130302244441), we get a palindrome (554572505275455).

The spelling of 144442203031014 in words is "one hundred forty-four trillion, four hundred forty-two billion, two hundred three million, thirty-one thousand, fourteen".

Divisors: 1 2 3 6 7 14 21 42 47 94 103 141 206 282 309 329 618 658 721 987 1442 1543 1974 2163 3086 4326 4629 4841 9258 9682 10801 14523 21602 29046 32403 33887 64806 67774 72521 101661 145042 158929 203322 217563 317858 435126 460409 476787 507647 920818 953574 1015294 1112503 1381227 1522941 2225006 2762454 3045882 3222863 3337509 6445726 6675018 7469663 9668589 14939326 19337178 21639223 22408989 43278446 44817978 47422127 52287641 64917669 94844254 104575282 129835338 142266381 151474561 156862923 284532762 302949122 313725846 331954889 454423683 663909778 710411087 908847366 995864667 1420822174 1991729334 2131233261 2228839969 4262466522 4457679938 4972877609 6686519907 9945755218 13373039814 14918632827 15601879783 29837265654 31203759566 33389321089 46805639349 66778642178 73172341961 93611278698 100167963267 146344683922 200335926534 219517025883 233725247623 439034051766 467450495246 512206393727 701175742869 1024412787454 1402351485738 1536619181181 3073238362362 3439100072167 6878200144334 10317300216501 20634600433002 24073700505169 48147401010338 72221101515507 144442203031014