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141428448000 = 283253731273
BaseRepresentation
bin1000001110110111001…
…0101101101100000000
3111112001101120120000200
42003231302231230000
54304121140314000
6144545450245200
713134504654510
oct2035562555400
9445041516020
10141428448000
1154a85743284
12234b0126800
131044b7c11b8
146bb9227840
153a2b335500
hex20edcadb00

141428448000 has 1296 divisors, whose sum is σ = 609199875648. Its totient is φ = 30855168000.

The previous prime is 141428447947. The next prime is 141428448017. The reversal of 141428448000 is 844824141.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1937375964 + ... + 1937376036.

Almost surely, 2141428448000 is an apocalyptic number.

141428448000 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 141428448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304599937824).

141428448000 is an abundant number, since it is smaller than the sum of its proper divisors (467771427648).

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

141428448000 is an equidigital number, since it uses as much as digits as its factorization.

141428448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 141428448000 in words is "one hundred forty-one billion, four hundred twenty-eight million, four hundred forty-eight thousand".