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144351042066 = 232721115198533
BaseRepresentation
bin1000011001101111111…
…1100001101000010010
3111210121001221201101100
42012123333201220102
54331112331321231
6150151451445230
713300103420100
oct2063377415022
9453531851340
10144351042066
1156245444480
1223b86a56816
13107c6142cba
146db5440c70
153b4cbd91e6
hex219bfe1a12

144351042066 has 144 divisors (see below), whose sum is σ = 399530933568. Its totient is φ = 37245096000.

The previous prime is 144351042041. The next prime is 144351042119. The reversal of 144351042066 is 660240153441.

144351042066 is a `hidden beast` number, since 1 + 4 + 43 + 510 + 42 + 0 + 66 = 666.

144351042066 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 144351042066.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1415736 + ... + 1514268.

It is an arithmetic number, because the mean of its divisors is an integer number (2774520372).

Almost surely, 2144351042066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144351042066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199765466784).

144351042066 is an abundant number, since it is smaller than the sum of its proper divisors (255179891502).

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

144351042066 is a wasteful number, since it uses less digits than its factorization.

144351042066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98717 (or 98707 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

It can be divided in two parts, 14435 and 1042066, that added together give a palindrome (1056501).

The spelling of 144351042066 in words is "one hundred forty-four billion, three hundred fifty-one million, forty-two thousand, sixty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 49 63 66 77 98 99 126 147 151 154 198 231 294 302 441 453 462 539 693 882 906 1057 1078 1359 1386 1617 1661 2114 2718 3171 3234 3322 4851 4983 6342 7399 9513 9702 9966 11627 14798 14949 19026 22197 23254 29898 34881 44394 66591 69762 81389 98533 104643 133182 162778 197066 209286 244167 295599 488334 591198 689731 732501 886797 1083863 1379462 1465002 1773594 2069193 2167726 3251589 4138386 4828117 6207579 6503178 7587041 9656234 9754767 12415158 14484351 14878483 15174082 19509534 22761123 28968702 29756966 43453053 44635449 45522246 53109287 68283369 86906106 89270898 104149381 106218574 133906347 136566738 159327861 163663313 208298762 267812694 312448143 318655722 327326626 477983583 490989939 624896286 729045667 937344429 955967166 981979878 1145643191 1458091334 1472969817 1874688858 2187137001 2291286382 2945939634 3436929573 4374274002 6561411003 6873859146 8019502337 10310788719 13122822006 16039004674 20621577438 24058507011 48117014022 72175521033 144351042066