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2144000145 = 357231731289
BaseRepresentation
bin111111111001010…
…1101100010010001
312112102022111021210
41333302231202101
513342331001040
6552425210333
7104062462200
oct17762554221
95472274253
102144000145
11a00261051
124ba0309a9
13282255351
14164a61237
15c8359480
hex7fcad891

2144000145 has 96 divisors (see below), whose sum is σ = 4178856960. Its totient is φ = 934778880.

The previous prime is 2144000143. The next prime is 2144000171. The reversal of 2144000145 is 5410004412.

It is a happy number.

It is not a de Polignac number, because 2144000145 - 21 = 2144000143 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (2144000143) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1662661 + ... + 1663949.

It is an arithmetic number, because the mean of its divisors is an integer number (43529760).

Almost surely, 22144000145 is an apocalyptic number.

It is an amenable number.

2144000145 is a deficient number, since it is larger than the sum of its proper divisors (2034856815).

2144000145 is a wasteful number, since it uses less digits than its factorization.

2144000145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1415 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 2144000145 is about 46303.3491769224. The cubic root of 2144000145 is about 1289.4611745224.

Adding to 2144000145 its reverse (5410004412), we get a palindrome (7554004557).

The spelling of 2144000145 in words is "two billion, one hundred forty-four million, one hundred forty-five", and thus it is an aban number.

Divisors: 1 3 5 7 15 21 31 35 49 73 93 105 147 155 217 219 245 365 465 511 651 735 1085 1095 1289 1519 1533 2263 2555 3255 3577 3867 4557 6445 6789 7595 7665 9023 10731 11315 15841 17885 19335 22785 27069 33945 39959 45115 47523 53655 63161 79205 94097 110887 119877 135345 189483 199795 237615 279713 282291 315805 332661 470485 554435 599385 658679 839139 947415 1398565 1411455 1663305 1957991 1976037 2917007 3293395 4195695 4610753 5873973 8751021 9789955 9880185 13832259 14585035 20419049 23053765 29369865 43755105 61257147 69161295 102095245 142933343 306285735 428800029 714666715 2144000145