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144339661620 = 223257311283751
BaseRepresentation
bin1000011001101101010…
…0000111001100110100
3111210120021112112100100
42012123110013030310
54331101423132440
6150150403514100
713266604611000
oct2063324071464
9453507475310
10144339661620
1156239a81150
1223b83088930
13107c3989ccb
146db3b1b700
153b4bbdc230
hex219b507334

144339661620 has 576 divisors, whose sum is σ = 559719014400. Its totient is φ = 29846880000.

The previous prime is 144339661607. The next prime is 144339661691. The reversal of 144339661620 is 26166933441.

144339661620 is a `hidden beast` number, since 1 + 4 + 4 + 3 + 3 + 9 + 6 + 616 + 20 = 666.

It is a super-2 number, since 2×1443396616202 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 192196245 + ... + 192196995.

It is an arithmetic number, because the mean of its divisors is an integer number (971734400).

Almost surely, 2144339661620 is an apocalyptic number.

144339661620 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 144339661620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279859507200).

144339661620 is an abundant number, since it is smaller than the sum of its proper divisors (415379352780).

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

144339661620 is a wasteful number, since it uses less digits than its factorization.

144339661620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 144339661620 in words is "one hundred forty-four billion, three hundred thirty-nine million, six hundred sixty-one thousand, six hundred twenty".