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144555144426 = 23371161569927
BaseRepresentation
bin1000011010100000101…
…0000111010011101010
3111211010022000012012000
42012220022013103222
54332022104110201
6150224022231430
713305132311520
oct2065012072352
9454108005160
10144555144426
115633a679610
1224023285576
1310829505624
146dd45b0310
153b60aa3d86
hex21a82874ea

144555144426 has 128 divisors (see below), whose sum is σ = 407065374720. Its totient is φ = 36931204800.

The previous prime is 144555144421. The next prime is 144555144427. The reversal of 144555144426 is 624441555441.

144555144426 is a `hidden beast` number, since 1 + 44 + 55 + 514 + 4 + 42 + 6 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (144555144421) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31326 + ... + 538601.

It is an arithmetic number, because the mean of its divisors is an integer number (3180198240).

Almost surely, 2144555144426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144555144426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203532687360).

144555144426 is an abundant number, since it is smaller than the sum of its proper divisors (262510230294).

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

144555144426 is a wasteful number, since it uses less digits than its factorization.

144555144426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570017 (or 570011 counting only the distinct ones).

The product of its digits is 1536000, while the sum is 45.

Adding to 144555144426 its reverse (624441555441), we get a palindrome (768996699867).

The spelling of 144555144426 in words is "one hundred forty-four billion, five hundred fifty-five million, one hundred forty-four thousand, four hundred twenty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 61 63 66 77 99 122 126 154 183 189 198 231 297 366 378 427 462 549 594 671 693 854 1098 1281 1342 1386 1647 2013 2079 2562 3294 3843 4026 4158 4697 6039 7686 9394 11529 12078 14091 18117 23058 28182 36234 42273 84546 126819 253638 569927 1139854 1709781 3419562 3989489 5129343 6269197 7978978 10258686 11968467 12538394 15388029 18807591 23936934 30776058 34765547 35905401 37615182 43884379 56422773 69531094 71810802 87768758 104296641 107716203 112845546 131653137 169268319 208593282 215432406 243358829 263306274 312889923 338536638 382421017 394959411 486717658 625779846 730076487 764842034 789918822 938669769 1147263051 1184878233 1460152974 1877339538 2190229461 2294526102 2369756466 2676947119 3441789153 4380458922 5353894238 6570688383 6883578306 8030841357 10325367459 13141376766 16061682714 20650734918 24092524071 48185048142 72277572213 144555144426