Search a number
-
+
148733481340 = 22537683294277
BaseRepresentation
bin1000101010000100110…
…1001101000101111100
3112012220111021200220001
42022201031031011330
54414101232400330
6152154402404044
713513516506013
oct2124115150574
9465814250801
10148733481340
1158094199a14
12249aa660624
1311044067c32
1472ad4a7a7a
153d078049ca
hex22a134d17c

148733481340 has 48 divisors (see below), whose sum is σ = 321252698592. Its totient is φ = 57800514816.

The previous prime is 148733481331. The next prime is 148733481343. The reversal of 148733481340 is 43184337841.

148733481340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1487334813402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148733481343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 358282 + ... + 652558.

It is an arithmetic number, because the mean of its divisors is an integer number (6692764554).

Almost surely, 2148733481340 is an apocalyptic number.

148733481340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148733481340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160626349296).

148733481340 is an abundant number, since it is smaller than the sum of its proper divisors (172519217252).

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

148733481340 is a wasteful number, since it uses less digits than its factorization.

148733481340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295006 (or 295004 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 46.

The spelling of 148733481340 in words is "one hundred forty-eight billion, seven hundred thirty-three million, four hundred eighty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 683 740 1366 2732 3415 6830 13660 25271 50542 101084 126355 252710 294277 505420 588554 1177108 1471385 2942770 5885540 10888249 21776498 43552996 54441245 108882490 200991191 217764980 401982382 803964764 1004955955 2009911910 4019823820 7436674067 14873348134 29746696268 37183370335 74366740670 148733481340