Search a number
-
+
144651675402 = 232132574095881
BaseRepresentation
bin1000011010110111101…
…0010110011100001010
3111211101000122110210100
42012231322112130022
54332221312103102
6150241351230230
713310413645113
oct2065572263412
9454330573710
10144651675402
115638a110783
122404b678376
1310843503150
14700333b20a
153b692c0a1c
hex21ade9670a

144651675402 has 96 divisors (see below), whose sum is σ = 339720086160. Its totient is φ = 44219105280.

The previous prime is 144651675397. The next prime is 144651675409. The reversal of 144651675402 is 204576156441.

144651675402 is a `hidden beast` number, since 1 + 4 + 46 + 5 + 1 + 67 + 540 + 2 = 666.

144651675402 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 137508214041 + 7143461361 = 370821^2 + 84519^2 .

It is not an unprimeable number, because it can be changed into a prime (144651675409) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 24593502 + ... + 24599382.

Almost surely, 2144651675402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144651675402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169860043080).

144651675402 is an abundant number, since it is smaller than the sum of its proper divisors (195068410758).

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

144651675402 is a wasteful number, since it uses less digits than its factorization.

144651675402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6568 (or 6565 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 144651675402 in words is "one hundred forty-four billion, six hundred fifty-one million, six hundred seventy-five thousand, four hundred two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 257 409 514 771 818 1227 1542 2313 2454 3341 3681 4626 5317 5881 6682 7362 10023 10634 11762 15951 17643 20046 30069 31902 35286 47853 52929 60138 76453 95706 105113 105858 152906 210226 229359 315339 458718 630678 688077 946017 1366469 1376154 1511417 1892034 2405329 2732938 3022834 4099407 4534251 4810658 7215987 8198814 9068502 12298221 13602753 14431974 19648421 21647961 24596442 27205506 31269277 39296842 43295922 58945263 62538554 93807831 117890526 176835789 187615662 281423493 353671578 562846986 618169553 1236339106 1854508659 3709017318 5563525977 8036204189 11127051954 16072408378 24108612567 48217225134 72325837701 144651675402