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144100233240 = 233529137479631
BaseRepresentation
bin1000011000110100001…
…0110001000000011000
3111202221121000022100120
42012031002301000120
54330104124430430
6150110532033240
713260636526035
oct2061502610030
9452847008316
10144100233240
1156126909057
1223b16a62820
13107861a9402
146d8ddd438c
153b35b95610
hex218d0b1018

144100233240 has 256 divisors, whose sum is σ = 452127744000. Its totient is φ = 36695715840.

The previous prime is 144100233217. The next prime is 144100233247. The reversal of 144100233240 is 42332001441.

144100233240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 144100233240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144100233247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 228367725 + ... + 228368355.

It is an arithmetic number, because the mean of its divisors is an integer number (1766124000).

Almost surely, 2144100233240 is an apocalyptic number.

144100233240 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 144100233240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226063872000).

144100233240 is an abundant number, since it is smaller than the sum of its proper divisors (308027510760).

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

144100233240 is a wasteful number, since it uses less digits than its factorization.

144100233240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 144100233240 its reverse (42332001441), we get a palindrome (186432234681).

The spelling of 144100233240 in words is "one hundred forty-four billion, one hundred million, two hundred thirty-three thousand, two hundred forty".