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144604298308080 = 243513891294140241
BaseRepresentation
bin100000111000010001001111…
…110101010110100111110000
3200222000000222011210222020010
4200320101033311112213300
5122423144100331324310
61231314144135014520
742313213213125522
oct4070211765264760
9628000864728203
10144604298308080
114209137a628936
1214275346b0a440
13628c1858129a0
14279cc576b7a12
1511ab752862320
hex83844fd569f0

144604298308080 has 320 divisors, whose sum is σ = 488229967532160. Its totient is φ = 35191367270400.

The previous prime is 144604298308073. The next prime is 144604298308111. The reversal of 144604298308080 is 80803892406441.

It is a self number, because there is not a number n which added to its sum of digits gives 144604298308080.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3593436760 + ... + 3593477000.

It is an arithmetic number, because the mean of its divisors is an integer number (1525718648538).

Almost surely, 2144604298308080 is an apocalyptic number.

144604298308080 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 144604298308080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244114983766080).

144604298308080 is an abundant number, since it is smaller than the sum of its proper divisors (343625669224080).

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

144604298308080 is a wasteful number, since it uses less digits than its factorization.

144604298308080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53300 (or 53294 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 57.

The spelling of 144604298308080 in words is "one hundred forty-four trillion, six hundred four billion, two hundred ninety-eight million, three hundred eight thousand, eighty".