Search a number
-
+
14124652132140 = 223251141173991773
BaseRepresentation
bin1100110110001010011011…
…0111110111011100101100
31212000022012021220100211100
43031202212313313130230
53322404241421212030
650012435310523100
72655321022113324
oct315424667673454
955008167810740
1014124652132140
11455625a999510
121701551506490
137b5c44bac314
1436b8cb5a2284
151976344e3360
hexcd8a6df772c

14124652132140 has 144 divisors (see below), whose sum is σ = 47879752336416. Its totient is φ = 3340642022400.

The previous prime is 14124652132081. The next prime is 14124652132163. The reversal of 14124652132140 is 4123125642141.

14124652132140 is a `hidden beast` number, since 1 + 4 + 1 + 2 + 465 + 21 + 32 + 140 = 666.

It is a super-3 number, since 3×141246521321403 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14124652132095 and 14124652132104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86914707 + ... + 87077066.

It is an arithmetic number, because the mean of its divisors is an integer number (332498280114).

Almost surely, 214124652132140 is an apocalyptic number.

14124652132140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14124652132140 is an abundant number, since it is smaller than the sum of its proper divisors (33755100204276).

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

14124652132140 is a wasteful number, since it uses less digits than its factorization.

14124652132140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173991840 (or 173991835 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 14124652132140 its reverse (4123125642141), we get a palindrome (18247777774281).

The spelling of 14124652132140 in words is "fourteen trillion, one hundred twenty-four billion, six hundred fifty-two million, one hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 41 44 45 55 60 66 82 90 99 110 123 132 164 165 180 198 205 220 246 330 369 396 410 451 492 495 615 660 738 820 902 990 1230 1353 1476 1804 1845 1980 2255 2460 2706 3690 4059 4510 5412 6765 7380 8118 9020 13530 16236 20295 27060 40590 81180 173991773 347983546 521975319 695967092 869958865 1043950638 1565925957 1739917730 1913909503 2087901276 2609876595 3131851914 3479835460 3827819006 5219753190 5741728509 6263703828 7133662693 7655638012 7829629785 9569547515 10439506380 11483457018 14267325386 15659259570 17225185527 19139095030 21400988079 22966914036 28534650772 28708642545 31318519140 34450371054 35668313465 38278190060 42801976158 57417285090 64202964237 68900742108 71336626930 78470289623 85603952316 86125927635 107004940395 114834570180 128405928474 142673253860 156940579246 172251855270 214009880790 235410868869 256811856948 313881158492 321014821185 344503710540 392351448115 428019761580 470821737738 642029642370 706232606607 784702896230 941643475476 1177054344345 1284059284740 1412465213214 1569405792460 2354108688690 2824930426428 3531163033035 4708217377380 7062326066070 14124652132140