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145012321230 = 235729173137639
BaseRepresentation
bin1000011100001101101…
…0000110101111001110
3111212022011021011212020
42013003122012233032
54333441123234410
6150341233151010
713322353251510
oct2070332065716
9455264234766
10145012321230
1156554747287
12241303bb466
13108a0145b4a
1470391b9bb0
153b8acada70
hex21c3686bce

145012321230 has 128 divisors (see below), whose sum is σ = 413844940800. Its totient is φ = 31817501184.

The previous prime is 145012321229. The next prime is 145012321241. The reversal of 145012321230 is 32123210541.

145012321230 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 145012321230.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 984751 + ... + 1122389.

It is an arithmetic number, because the mean of its divisors is an integer number (3233163600).

Almost surely, 2145012321230 is an apocalyptic number.

145012321230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145012321230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206922470400).

145012321230 is an abundant number, since it is smaller than the sum of its proper divisors (268832619570).

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

145012321230 is a wasteful number, since it uses less digits than its factorization.

145012321230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137858.

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 145012321230 its reverse (32123210541), we get a palindrome (177135531771).

The spelling of 145012321230 in words is "one hundred forty-five billion, twelve million, three hundred twenty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 58 70 87 105 145 173 174 203 210 290 346 406 435 519 609 865 870 1015 1038 1211 1218 1730 2030 2422 2595 3045 3633 5017 5190 6055 6090 7266 10034 12110 15051 18165 25085 30102 35119 36330 50170 70238 75255 105357 137639 150510 175595 210714 275278 351190 412917 526785 688195 825834 963473 1053570 1376390 1926946 2064585 2890419 3991531 4129170 4817365 5780838 7983062 9634730 11974593 14452095 19957655 23811547 23949186 27940717 28904190 39915310 47623094 55881434 59872965 71434641 83822151 119057735 119745930 139703585 142869282 166680829 167644302 238115470 279407170 333361658 357173205 419110755 500042487 690534863 714346410 833404145 838221510 1000084974 1381069726 1666808290 2071604589 2500212435 3452674315 4143209178 4833744041 5000424870 6905348630 9667488082 10358022945 14501232123 20716045890 24168720205 29002464246 48337440410 72506160615 145012321230