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144213545322 = 23273112193043
BaseRepresentation
bin1000011001001111001…
…1000001000101101010
3111210020111020011022100
42012103303001011222
54330322131422242
6150130100434230
713263513624000
oct2062363010552
9453214204270
10144213545322
1156184872100
1223b489a8976
13107a3801192
146da108ca70
153b40ac954c
hex2193cc116a

144213545322 has 144 divisors (see below), whose sum is σ = 400527691200. Its totient is φ = 37457869680.

The previous prime is 144213545299. The next prime is 144213545327. The reversal of 144213545322 is 223545312441.

It is a happy number.

144213545322 is a `hidden beast` number, since 14 + 42 + 135 + 453 + 22 = 666.

It is not an unprimeable number, because it can be changed into a prime (144213545327) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 650533 + ... + 843575.

It is an arithmetic number, because the mean of its divisors is an integer number (2781442300).

Almost surely, 2144213545322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144213545322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200263845600).

144213545322 is an abundant number, since it is smaller than the sum of its proper divisors (256314145878).

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

144213545322 is a wasteful number, since it uses less digits than its factorization.

144213545322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193094 (or 193066 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

Adding to 144213545322 its reverse (223545312441), we get a palindrome (367758857763).

The spelling of 144213545322 in words is "one hundred forty-four billion, two hundred thirteen million, five hundred forty-five thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 49 63 66 77 98 99 121 126 147 154 198 231 242 294 343 363 441 462 539 686 693 726 847 882 1029 1078 1089 1386 1617 1694 2058 2178 2541 3087 3234 3773 4851 5082 5929 6174 7546 7623 9702 11319 11858 15246 17787 22638 33957 35574 41503 53361 67914 83006 106722 124509 193043 249018 373527 386086 579129 747054 1158258 1351301 1737387 2123473 2702602 3474774 4053903 4246946 6370419 8107806 9459107 12161709 12740838 14864311 18918214 19111257 23358203 24323418 28377321 29728622 38222514 44592933 46716406 56754642 66213749 70074609 85131963 89185866 104050177 132427498 133778799 140149218 163507421 170263926 198641247 208100354 210223827 267557598 312150531 327014842 397282494 420447654 490522263 595923741 624301062 728351239 936451593 981044526 1144551947 1191847482 1456702478 1471566789 1872903186 2185053717 2289103894 2943133578 3433655841 4370107434 6555161151 6867311682 8011863629 10300967523 13110322302 16023727258 20601935046 24035590887 48071181774 72106772661 144213545322