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144254550000 = 243551187427
BaseRepresentation
bin1000011001011000111…
…1011011111111110000
3111210100100101102011010
42012112033123333300
54330413131100000
6150134123350520
713264522305111
oct2062617337760
9453310342133
10144254550000
11561a5a29570
1223b5a682440
13107ac15a0c2
146da66c4208
153b444c8d50
hex21963dbff0

144254550000 has 240 divisors, whose sum is σ = 508142726784. Its totient is φ = 34970400000.

The previous prime is 144254549987. The next prime is 144254550031. The reversal of 144254550000 is 55452441.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 144254550000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1606287 + ... + 1693713.

Almost surely, 2144254550000 is an apocalyptic number.

144254550000 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 144254550000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254071363392).

144254550000 is an abundant number, since it is smaller than the sum of its proper divisors (363888176784).

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

144254550000 is an equidigital number, since it uses as much as digits as its factorization.

144254550000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87474 (or 87448 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The spelling of 144254550000 in words is "one hundred forty-four billion, two hundred fifty-four million, five hundred fifty thousand".