Search a number
-
+
243220344001110 = 23457139308604347
BaseRepresentation
bin110111010011010100100110…
…001101001101001001010110
31011220011122012221221100220000
4313103110212031031021112
5223334410231031013420
62221141514501552130
7102142042600630140
oct6723244615151126
91156148187840800
10243220344001110
11705521944a1453
1223341895115646
13a593770415b88
14440bcdad47c90
151d1babc9e1690
hexdd352634d256

243220344001110 has 160 divisors (see below), whose sum is σ = 752797102337280. Its totient is φ = 55193270073408.

The previous prime is 243220344001093. The next prime is 243220344001153. The reversal of 243220344001110 is 11100443022342.

243220344001110 is a `hidden beast` number, since 2 + 4 + 3 + 2 + 203 + 440 + 0 + 1 + 1 + 10 = 666.

243220344001110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2432203440011102 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 153514044 + ... + 155090303.

It is an arithmetic number, because the mean of its divisors is an integer number (4704981889608).

Almost surely, 2243220344001110 is an apocalyptic number.

243220344001110 is an abundant number, since it is smaller than the sum of its proper divisors (509576758336170).

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

243220344001110 is a wasteful number, since it uses less digits than its factorization.

243220344001110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308604512 (or 308604503 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 243220344001110 its reverse (11100443022342), we get a palindrome (254320787023452).

The spelling of 243220344001110 in words is "two hundred forty-three trillion, two hundred twenty billion, three hundred forty-four million, one thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 139 162 189 210 270 278 315 378 405 417 567 630 695 810 834 945 973 1134 1251 1390 1890 1946 2085 2502 2835 2919 3753 4170 4865 5670 5838 6255 7506 8757 9730 11259 12510 14595 17514 18765 22518 26271 29190 37530 43785 52542 56295 78813 87570 112590 131355 157626 262710 394065 788130 308604347 617208694 925813041 1543021735 1851626082 2160230429 2777439123 3086043470 4320460858 4629065205 5554878246 6480691287 8332317369 9258130410 10801152145 12961382574 13887195615 16664634738 19442073861 21602304290 24996952107 27774391230 32403456435 38884147722 41661586845 42896004233 49993904214 58326221583 64806912870 83323173690 85792008466 97210369305 116652443166 124984760535 128688012699 174978664749 194420738610 214480021165 249969521070 257376025398 291631107915 300272029631 349957329498 386064038097 428960042330 583262215830 600544059262 643440063495 772128076194 874893323745 900816088893 1158192114291 1286880126990 1501360148155 1749786647490 1801632177786 1930320190485 2316384228582 2702448266679 3002720296310 3474576342873 3860640380970 4504080444465 5404896533358 5790960571455 6949152685746 8107344800037 9008160888930 11581921142910 13512241333395 16214689600074 17372881714365 24322034400111 27024482666790 34745763428730 40536724000185 48644068800222 81073448000370 121610172000555 243220344001110