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144740014848 = 28321113247719
BaseRepresentation
bin1000011011001100101…
…1010101101100000000
3111211121011212120201200
42012303023111230000
54332411420433343
6150254224501200
713312535553402
oct2066313255400
9454534776650
10144740014848
1156424a68490
122407517a800
13108588c3300
147010d74b72
153b71e204d3
hex21b32d5b00

144740014848 has 648 divisors, whose sum is σ = 504162247680. Its totient is φ = 39570186240.

The previous prime is 144740014807. The next prime is 144740014877. The reversal of 144740014848 is 848410047441.

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, 201307033 + ... + 201307751.

It is an arithmetic number, because the mean of its divisors is an integer number (778028160).

Almost surely, 2144740014848 is an apocalyptic number.

144740014848 is a gapful number since it is divisible by the number (18) 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 144740014848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252081123840).

144740014848 is an abundant number, since it is smaller than the sum of its proper divisors (359422232832).

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

144740014848 is a wasteful number, since it uses less digits than its factorization.

144740014848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The spelling of 144740014848 in words is "one hundred forty-four billion, seven hundred forty million, fourteen thousand, eight hundred forty-eight".