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14335145550 = 23252113193419
BaseRepresentation
bin11010101100111000…
…01111011001001110
31101000001002211211200
431112130033121032
5213324244124200
610330243530330
71015144504155
oct152634173116
941001084750
1014335145550
1160968a8030
1229409899a6
131475b93a5b
1499dbd859c
1558d785800
hex35670f64e

14335145550 has 144 divisors (see below), whose sum is σ = 43370795520. Its totient is φ = 3363048000.

The previous prime is 14335145509. The next prime is 14335145611. The reversal of 14335145550 is 5554153341.

14335145550 is a `hidden beast` number, since 1 + 43 + 3 + 514 + 55 + 50 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 106741 + ... + 200159.

It is an arithmetic number, because the mean of its divisors is an integer number (301186080).

Almost surely, 214335145550 is an apocalyptic number.

14335145550 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 14335145550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21685397760).

14335145550 is an abundant number, since it is smaller than the sum of its proper divisors (29035649970).

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

14335145550 is a wasteful number, since it uses less digits than its factorization.

14335145550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93479 (or 93471 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

Adding to 14335145550 its reverse (5554153341), we get a palindrome (19889298891).

The spelling of 14335145550 in words is "fourteen billion, three hundred thirty-five million, one hundred forty-five thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 31 33 45 50 55 62 66 75 90 93 99 110 150 155 165 186 198 225 275 279 310 330 341 450 465 495 550 558 682 775 825 930 990 1023 1395 1550 1650 1705 2046 2325 2475 2790 3069 3410 4650 4950 5115 6138 6975 8525 10230 13950 15345 17050 25575 30690 51150 76725 93419 153450 186838 280257 467095 560514 840771 934190 1027609 1401285 1681542 2055218 2335475 2802570 2895989 3082827 4203855 4670950 5138045 5791978 6165654 7006425 8407710 8687967 9248481 10276090 14012850 14479945 15414135 17375934 18496962 21019275 25690225 26063901 28959890 30828270 31855879 42038550 43439835 46242405 51380450 52127802 63711758 72399725 77070675 86879670 92484810 95567637 130319505 144799450 154141350 159279395 191135274 217199175 231212025 260639010 286702911 318558790 434398350 462424050 477838185 573405822 651597525 796396975 955676370 1303195050 1433514555 1592793950 2389190925 2867029110 4778381850 7167572775 14335145550