Search a number
-
+
148480481520 = 243257191154243
BaseRepresentation
bin1000101001001000100…
…0000101100011110000
3112012020212012222101100
42022102020011203300
54413042000402040
6152113324004400
713504325161140
oct2122210054360
9465225188340
10148480481520
1157a743a7458
1224939990700
1311003814cb7
147287a4a920
153ce04cbb30
hex22922058f0

148480481520 has 240 divisors, whose sum is σ = 572869619712. Its totient is φ = 33760488960.

The previous prime is 148480481483. The next prime is 148480481521. The reversal of 148480481520 is 25184084841.

148480481520 is a `hidden beast` number, since 1 + 4 + 8 + 4 + 80 + 48 + 1 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1484804815202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148480481521) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 885519 + ... + 1039761.

Almost surely, 2148480481520 is an apocalyptic number.

148480481520 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 148480481520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286434809856).

148480481520 is an abundant number, since it is smaller than the sum of its proper divisors (424389138192).

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

148480481520 is a wasteful number, since it uses less digits than its factorization.

148480481520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154460 (or 154451 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The spelling of 148480481520 in words is "one hundred forty-eight billion, four hundred eighty million, four hundred eighty-one thousand, five hundred twenty".