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144143793120 = 25352322435821
BaseRepresentation
bin1000011000111110100…
…0111011101111100000
3111210001121222101021110
42012033220323233200
54330201302334440
6150115125423320
713262006011545
oct2061750735740
9453047871243
10144143793120
1156149460258
1223b2956ab40
131079221b3a2
146d95ad2bcc
153b398ec080
hex218fa3bbe0

144143793120 has 192 divisors, whose sum is σ = 474087043584. Its totient is φ = 36744407040.

The previous prime is 144143793107. The next prime is 144143793127. The reversal of 144143793120 is 21397341441.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144143793127) 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, 24759810 + ... + 24765630.

It is an arithmetic number, because the mean of its divisors is an integer number (2469203352).

Almost surely, 2144143793120 is an apocalyptic number.

144143793120 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 144143793120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237043521792).

144143793120 is an abundant number, since it is smaller than the sum of its proper divisors (329943250464).

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

144143793120 is a wasteful number, since it uses less digits than its factorization.

144143793120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8105 (or 8097 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 144143793120 in words is "one hundred forty-four billion, one hundred forty-three million, seven hundred ninety-three thousand, one hundred twenty".