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148838400000 = 21432551719
BaseRepresentation
bin1000101010011101110…
…1011100000000000000
3112020011210201010020100
42022213131130000000
54414310112300000
6152213031242400
713516232345223
oct2124735340000
9466153633210
10148838400000
115813843a954
1224a19819400
131105ca11494
1472bd3b95ba
153d11b2ba00
hex22a775c000

148838400000 has 1080 divisors, whose sum is σ = 598983381360. Its totient is φ = 35389440000.

The previous prime is 148838399989. The next prime is 148838400107. The reversal of 148838400000 is 4838841.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7833599991 + ... + 7833600009.

It is an arithmetic number, because the mean of its divisors is an integer number (554614242).

Almost surely, 2148838400000 is an apocalyptic number.

148838400000 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 148838400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299491690680).

148838400000 is an abundant number, since it is smaller than the sum of its proper divisors (450144981360).

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

148838400000 is an frugal number, since it uses more digits than its factorization.

148838400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 148838400000 in words is "one hundred forty-eight billion, eight hundred thirty-eight million, four hundred thousand".