Search a number
-
+
148257341764 = 227439292
BaseRepresentation
bin1000101000010011010…
…0111000000101000100
3112011200022100022011221
42022010310320011010
54412112334414024
6152035233210124
713465645420000
oct2120464700504
9464608308157
10148257341764
115796a44a234
1224897100944
1310c9951843c
147266163700
153ccab013e4
hex2284d38144

148257341764 has 45 divisors (see below), whose sum is σ = 302751118397. Its totient is φ = 63522688992.

The previous prime is 148257341737. The next prime is 148257341789. The reversal of 148257341764 is 467143752841.

The square root of 148257341764 is 385042.

It is a perfect power (a square), and thus also a powerful number.

148257341764 is digitally balanced in base 3, 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 only one way, i.e., 21008183364 + 127249158400 = 144942^2 + 356720^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 37732152 + ... + 37736080.

Almost surely, 2148257341764 is an apocalyptic number.

148257341764 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

148257341764 is the 385042-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148257341764

148257341764 is an abundant number, since it is smaller than the sum of its proper divisors (154493776633).

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

148257341764 is an frugal number, since it uses more digits than its factorization.

148257341764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7890 (or 3938 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 52.

The spelling of 148257341764 in words is "one hundred forty-eight billion, two hundred fifty-seven million, three hundred forty-one thousand, seven hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 98 196 343 686 1372 2401 3929 4802 7858 9604 15716 27503 55006 110012 192521 385042 770084 1347647 2695294 5390588 9433529 15437041 18867058 30874082 37734116 61748164 108059287 216118574 432237148 756415009 1512830018 3025660036 5294905063 10589810126 21179620252 37064335441 74128670882 148257341764