Search a number
-
+
14055432031320 = 23351272103143853
BaseRepresentation
bin1100110010001000100100…
…0010001000110001011000
31211202200112020001220111120
43030202021002020301120
53320241011100000240
645520550515525240
72650320465011241
oct314421102106130
954680466056446
1014055432031320
114529969a59219
1216b00538b9820
137ac5631ca594
143684023a1cc8
151959325d8ad0
hexcc889088c58

14055432031320 has 128 divisors (see below), whose sum is σ = 42501304074240. Its totient is φ = 3718340881920.

The previous prime is 14055432031297. The next prime is 14055432031327. The reversal of 14055432031320 is 2313023455041.

It is a super-2 number, since 2×140554320313202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14055432031327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 320490514 + ... + 320534366.

It is an arithmetic number, because the mean of its divisors is an integer number (332041438080).

Almost surely, 214055432031320 is an apocalyptic number.

14055432031320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14055432031320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21250652037120).

14055432031320 is an abundant number, since it is smaller than the sum of its proper divisors (28445872042920).

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

14055432031320 is a wasteful number, since it uses less digits than its factorization.

14055432031320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65025 (or 65021 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

Adding to 14055432031320 its reverse (2313023455041), we get a palindrome (16368455486361).

The spelling of 14055432031320 in words is "fourteen trillion, fifty-five billion, four hundred thirty-two million, thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 127 254 381 508 635 762 1016 1270 1524 1905 2540 3048 3810 5080 7620 15240 21031 42062 43853 63093 84124 87706 105155 126186 131559 168248 175412 210310 219265 252372 263118 315465 350824 420620 438530 504744 526236 630930 657795 841240 877060 1052472 1261860 1315590 1754120 2523720 2631180 2670937 5262360 5341874 5569331 8012811 10683748 11138662 13354685 16025622 16707993 21367496 22277324 26709370 27846655 32051244 33415986 40064055 44554648 53418740 55693310 64102488 66831972 80128110 83539965 106837480 111386620 133663944 160256220 167079930 222773240 320512440 334159860 668319720 922272443 1844544886 2766817329 3689089772 4611362215 5533634658 7378179544 9222724430 11067269316 13834086645 18445448860 22134538632 27668173290 36890897720 55336346580 110672693160 117128600261 234257200522 351385800783 468514401044 585643001305 702771601566 937028802088 1171286002610 1405543203132 1756929003915 2342572005220 2811086406264 3513858007830 4685144010440 7027716015660 14055432031320