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144348069120 = 2835435711531
BaseRepresentation
bin1000011001101111010…
…0001011110100000000
3111210120212100200021020
42012123310023310000
54331111101202440
6150151304025440
713300036225443
oct2063364136400
9453525320236
10144348069120
11562437a38a2
1223b85a62280
13107c5641a68
146db4ca965a
153b4c7ed3d0
hex219bd0bd00

144348069120 has 288 divisors, whose sum is σ = 472867659264. Its totient is φ = 37507276800.

The previous prime is 144348069091. The next prime is 144348069127. The reversal of 144348069120 is 21960843441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144348069127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94282755 + ... + 94284285.

Almost surely, 2144348069120 is an apocalyptic number.

144348069120 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 144348069120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236433829632).

144348069120 is an abundant number, since it is smaller than the sum of its proper divisors (328519590144).

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

144348069120 is a wasteful number, since it uses less digits than its factorization.

144348069120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2169 (or 2155 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 144348069120 in words is "one hundred forty-four billion, three hundred forty-eight million, sixty-nine thousand, one hundred twenty".