Search a number
-
+
148739351040 = 2932572131749
BaseRepresentation
bin1000101010000110001…
…1100110001000000000
3112012220220022220121100
42022201203212020000
54414104233213130
6152155132254400
713513620423600
oct2124143461000
9465826286540
10148739351040
1158097538a05
12249b0611400
1311045341827
1472b0194c00
153d080b3c60
hex22a18e6200

148739351040 has 360 divisors, whose sum is σ = 599232991500. Its totient is φ = 33997307904.

The previous prime is 148739351039. The next prime is 148739351053. The reversal of 148739351040 is 40153937841.

148739351040 is a `hidden beast` number, since 1 + 4 + 8 + 7 + 3 + 93 + 510 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 143901870336 + 4837480704 = 379344^2 + 69552^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1063086 + ... + 1194834.

Almost surely, 2148739351040 is an apocalyptic number.

148739351040 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 148739351040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299616495750).

148739351040 is an abundant number, since it is smaller than the sum of its proper divisors (450493640460).

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

148739351040 is a wasteful number, since it uses less digits than its factorization.

148739351040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131792 (or 131766 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 148739351040 in words is "one hundred forty-eight billion, seven hundred thirty-nine million, three hundred fifty-one thousand, forty".