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148057885440 = 2832529394373
BaseRepresentation
bin1000100111100011110…
…0000000101100000000
3112011011102000212112200
42021320330000230000
54411210304313230
6152003350153200
713461004155453
oct2117074005400
9464142025480
10148057885440
11578778a87a3
1224840352800
1310c670c174a
14724788349a
153cb8353160
hex2278f00b00

148057885440 has 216 divisors, whose sum is σ = 512556342480. Its totient is φ = 39459643392.

The previous prime is 148057885439. The next prime is 148057885463. The reversal of 148057885440 is 44588750841.

148057885440 is a `hidden beast` number, since 1 + 48 + 0 + 57 + 8 + 8 + 544 + 0 = 666.

It is a super-2 number, since 2×1480578854402 (a number of 23 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 33855094 + ... + 33859466.

It is an arithmetic number, because the mean of its divisors is an integer number (2372946030).

Almost surely, 2148057885440 is an apocalyptic number.

148057885440 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 148057885440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256278171240).

148057885440 is an abundant number, since it is smaller than the sum of its proper divisors (364498457040).

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

148057885440 is a wasteful number, since it uses less digits than its factorization.

148057885440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7339 (or 7322 counting only the distinct ones).

The product of its (nonzero) digits is 5734400, while the sum is 54.

The spelling of 148057885440 in words is "one hundred forty-eight billion, fifty-seven million, eight hundred eighty-five thousand, four hundred forty".