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148113231840 = 253257375359127
BaseRepresentation
bin1000100111110000111…
…1001000111111100000
3112011022021011202112100
42021330033020333200
54411313441404330
6152013044330400
713462245461310
oct2117417107740
9464267152470
10148113231840
11578a6070322
12248569a3a00
1310c756cc4b2
147250d6d440
153cbd137060
hex227c3c8fe0

148113231840 has 1152 divisors, whose sum is σ = 619531960320. Its totient is φ = 31520047104.

The previous prime is 148113231839. The next prime is 148113231853. The reversal of 148113231840 is 48132311841.

148113231840 is a `hidden beast` number, since 1 + 481 + 132 + 3 + 1 + 8 + 40 = 666.

148113231840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 148113231795 and 148113231804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1166245857 + ... + 1166245983.

It is an arithmetic number, because the mean of its divisors is an integer number (537788160).

Almost surely, 2148113231840 is an apocalyptic number.

148113231840 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 148113231840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309765980160).

148113231840 is an abundant number, since it is smaller than the sum of its proper divisors (471418728480).

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

148113231840 is a wasteful number, since it uses less digits than its factorization.

148113231840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 148113231840 in words is "one hundred forty-eight billion, one hundred thirteen million, two hundred thirty-one thousand, eight hundred forty".