Search a number
-
+
144707099356050 = 235271159929228581
BaseRepresentation
bin100000111001110000111111…
…010000001110101110010010
3200222100212022120010021221020
4200321300333100032232102
5122431340114413343200
61231433305042140310
742323512551455610
oct4071607720165622
9628325276107836
10144707099356050
1142120a33097810
1214291256951696
136298a8972865a
1427a3c0a7526b0
1511ae26c941ea0
hex839c3f40eb92

144707099356050 has 384 divisors, whose sum is σ = 455502117427200. Its totient is φ = 29527415808000.

The previous prime is 144707099356031. The next prime is 144707099356067. The reversal of 144707099356050 is 50653990707441.

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 191 ways as a sum of consecutive naturals, for example, 632952760 + ... + 633181340.

It is an arithmetic number, because the mean of its divisors is an integer number (1186203430800).

Almost surely, 2144707099356050 is an apocalyptic number.

144707099356050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144707099356050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227751058713600).

144707099356050 is an abundant number, since it is smaller than the sum of its proper divisors (310795018071150).

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

144707099356050 is a wasteful number, since it uses less digits than its factorization.

144707099356050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229602 (or 229597 counting only the distinct ones).

The product of its (nonzero) digits is 28576800, while the sum is 60.

The spelling of 144707099356050 in words is "one hundred forty-four trillion, seven hundred seven billion, ninety-nine million, three hundred fifty-six thousand, fifty".