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144723240000 = 2633541031301
BaseRepresentation
bin1000011011001000101…
…1010110010001000000
3111211120000022022222000
42012302023112101000
54332343122140000
6150252425144000
713312243146213
oct2066213262100
9454500268860
10144723240000
1156416550279
122406b62b000
131085529bb71
14700ca4977a
153b7070a000
hex21b22d6440

144723240000 has 560 divisors, whose sum is σ = 537228531840. Its totient is φ = 38188800000.

The previous prime is 144723239987. The next prime is 144723240007. The reversal of 144723240000 is 42327441.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (144723240007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 111239350 + ... + 111240650.

It is an arithmetic number, because the mean of its divisors is an integer number (959336664).

Almost surely, 2144723240000 is an apocalyptic number.

144723240000 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 144723240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268614265920).

144723240000 is an abundant number, since it is smaller than the sum of its proper divisors (392505291840).

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

144723240000 is a wasteful number, since it uses less digits than its factorization.

144723240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1445 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

Adding to 144723240000 its reverse (42327441), we get a palindrome (144765567441).

The spelling of 144723240000 in words is "one hundred forty-four billion, seven hundred twenty-three million, two hundred forty thousand".