Search a number
-
+
148746240000 = 2153354269
BaseRepresentation
bin1000101010000111110…
…1111000000000000000
3112012221101021220111000
42022201331320000000
54414113014140000
6152155540052000
713514033115201
oct2124175700000
9465841256430
10148746240000
11580a0413766
12249b2994000
13110468b4337
1472b10695a8
153d089c5000
hex22a1f78000

148746240000 has 640 divisors, whose sum is σ = 552774618000. Its totient is φ = 39518208000.

The previous prime is 148746239977. The next prime is 148746240023. The reversal of 148746240000 is 42647841.

It is an interprime number because it is at equal distance from previous prime (148746239977) and next prime (148746240023).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 552959866 + ... + 552960134.

Almost surely, 2148746240000 is an apocalyptic number.

148746240000 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 148746240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276387309000).

148746240000 is an abundant number, since it is smaller than the sum of its proper divisors (404028378000).

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

148746240000 is an frugal number, since it uses more digits than its factorization.

148746240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

Adding to 148746240000 its reverse (42647841), we get a palindrome (148788887841).

The spelling of 148746240000 in words is "one hundred forty-eight billion, seven hundred forty-six million, two hundred forty thousand".