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144441141034131 = 3327191967514487
BaseRepresentation
bin100000110101111001010010…
…111001101111110010010011
3200221102102211110121200121000
4200311321102321233302103
5122413010424101043011
61231111202200233043
742265346061153144
oct4065712271576223
9627372743550530
10144441141034131
11420291645a5067
12142497b1a6b783
136279983416b36
142794dba73bacb
1511a73a3b16356
hex835e52e6fc93

144441141034131 has 16 divisors (see below), whose sum is σ = 214065576294400. Its totient is φ = 96258678713064.

The previous prime is 144441141034109. The next prime is 144441141034171. The reversal of 144441141034131 is 131430141144441.

144441141034131 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 411 + 4 + 103 + 4 + 131 = 666.

It is not a de Polignac number, because 144441141034131 - 29 = 144441141033619 is a prime.

It is a super-2 number, since 2×1444411410341312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144441141034171) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 983683831 + ... + 983830656.

It is an arithmetic number, because the mean of its divisors is an integer number (13379098518400).

Almost surely, 2144441141034131 is an apocalyptic number.

144441141034131 is a deficient number, since it is larger than the sum of its proper divisors (69624435260269).

144441141034131 is a wasteful number, since it uses less digits than its factorization.

144441141034131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1967517215 (or 1967517209 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Adding to 144441141034131 its reverse (131430141144441), we get a palindrome (275871282178572).

The spelling of 144441141034131 in words is "one hundred forty-four trillion, four hundred forty-one billion, one hundred forty-one million, thirty-four thousand, one hundred thirty-one".

Divisors: 1 3 9 27 2719 8157 24471 73413 1967514487 5902543461 17707630383 53122891149 5349671890153 16049015670459 48147047011377 144441141034131