Search a number
-
+
144134424330 = 2351313722312097
BaseRepresentation
bin1000011000111100010…
…1001100011100001010
3111210000222100101201020
42012033011030130022
54330141403034310
6150114152533310
713261533251361
oct2061705143412
9453028311636
10144134424330
1156144141356
1223b263b1236
13107902bac20
146d947747d8
153b38b9b170
hex218f14c70a

144134424330 has 128 divisors (see below), whose sum is σ = 376965163008. Its totient is φ = 35059433472.

The previous prime is 144134424319. The next prime is 144134424341. The reversal of 144134424330 is 33424431441.

It is an interprime number because it is at equal distance from previous prime (144134424319) and next prime (144134424341).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 144134424291 and 144134424300.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11908842 + ... + 11920938.

It is an arithmetic number, because the mean of its divisors is an integer number (2945040336).

Almost surely, 2144134424330 is an apocalyptic number.

144134424330 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 144134424330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188482581504).

144134424330 is an abundant number, since it is smaller than the sum of its proper divisors (232830738678).

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

144134424330 is a wasteful number, since it uses less digits than its factorization.

144134424330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12480.

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 144134424330 its reverse (33424431441), we get a palindrome (177558855771).

The spelling of 144134424330 in words is "one hundred forty-four billion, one hundred thirty-four million, four hundred twenty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 137 195 223 274 390 411 446 669 685 822 1115 1338 1370 1781 2055 2230 2899 3345 3562 4110 5343 5798 6690 8697 8905 10686 12097 14495 17394 17810 24194 26715 28990 30551 36291 43485 53430 60485 61102 72582 86970 91653 120970 152755 157261 181455 183306 305510 314522 362910 397163 458265 471783 786305 794326 916530 943566 1191489 1572610 1657289 1985815 2358915 2382978 2697631 3314578 3971630 4717830 4971867 5395262 5957445 8092893 8286445 9943734 11914890 13488155 16185786 16572890 21544757 24859335 26976310 35069203 40464465 43089514 49718670 64634271 70138406 80928930 105207609 107723785 129268542 175346015 210415218 215447570 323171355 350692030 369575447 526038045 646342710 739150894 1052076090 1108726341 1847877235 2217452682 3695754470 4804480811 5543631705 9608961622 11087263410 14413442433 24022404055 28826884866 48044808110 72067212165 144134424330