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138448230912 = 293329367941
BaseRepresentation
bin1000000011110000101…
…0000101101000000000
3111020100200202211202000
42000330022011220000
54232020221342122
6143334030024000
713000606355115
oct2007412055000
9436320684660
10138448230912
1153796465052
12229ba048000
1310095245334
1469b54d090c
15390489d0ac
hex203c285a00

138448230912 has 320 divisors, whose sum is σ = 425554905600. Its totient is φ = 44389416960.

The previous prime is 138448230871. The next prime is 138448230929. The reversal of 138448230912 is 219032844831.

138448230912 is a `hidden beast` number, since 1 + 3 + 84 + 482 + 3 + 0 + 91 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147128362 + ... + 147129302.

It is an arithmetic number, because the mean of its divisors is an integer number (1329859080).

Almost surely, 2138448230912 is an apocalyptic number.

138448230912 is a gapful number since it is divisible by the number (12) 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 138448230912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212777452800).

138448230912 is an abundant number, since it is smaller than the sum of its proper divisors (287106674688).

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

138448230912 is an equidigital number, since it uses as much as digits as its factorization.

138448230912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 138448230912 in words is "one hundred thirty-eight billion, four hundred forty-eight million, two hundred thirty thousand, nine hundred twelve".