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144104122414000 = 2453710293151601
BaseRepresentation
bin100000110000111111011011…
…000001101111001110110000
3200220020012221001121220200001
4200300333123001233032300
5122342000220314222000
61230252304145435344
742232115330151340
oct4060773301571660
9626205831556601
10144104122414000
1141a09240352631
12141b441703bb54
136253c640cab98
142782968d88d20
15119d72b58746a
hex830fdb06f3b0

144104122414000 has 80 divisors (see below), whose sum is σ = 398221449178176. Its totient is φ = 49407127680000.

The previous prime is 144104122413989. The next prime is 144104122414051. The reversal of 144104122414000 is 414221401441.

144104122414000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 144104122414000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5146561801 + ... + 5146589800.

Almost surely, 2144104122414000 is an apocalyptic number.

144104122414000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144104122414000 is an abundant number, since it is smaller than the sum of its proper divisors (254117326764176).

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

144104122414000 is a wasteful number, since it uses less digits than its factorization.

144104122414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10293151631 (or 10293151615 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 144104122414000 its reverse (414221401441), we get a palindrome (144518343815441).

The spelling of 144104122414000 in words is "one hundred forty-four trillion, one hundred four billion, one hundred twenty-two million, four hundred fourteen thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1750 2000 2800 3500 7000 14000 10293151601 20586303202 41172606404 51465758005 72052061207 82345212808 102931516010 144104122414 164690425616 205863032020 257328790025 288208244828 360260306035 411726064040 514657580050 576416489656 720520612070 823452128080 1029315160100 1152832979312 1286643950125 1441041224140 1801301530175 2058630320200 2573287900250 2882082448280 3602603060350 4117260640400 5146575800500 5764164896560 7205206120700 9006507650875 10293151601000 14410412241400 18013015301750 20586303202000 28820824482800 36026030603500 72052061207000 144104122414000