Search a number
-
+
14453254085560 = 23531127237738611
BaseRepresentation
bin1101001001010010100100…
…0100110101101110111000
31220011201101010110011120121
43102110221010311232320
53343300231021214220
650423422215103024
73021133052456203
oct322245104655670
956151333404517
1014453254085560
114672655154744
121755179671a74
1380ac22559704
1437d7811c893a
151a0e67bbeeaa
hexd2529135bb8

14453254085560 has 128 divisors (see below), whose sum is σ = 33848280023040. Its totient is φ = 5548275532800.

The previous prime is 14453254085539. The next prime is 14453254085597. The reversal of 14453254085560 is 6558045235441.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 14453254085498 and 14453254085507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 374310655 + ... + 374349265.

It is an arithmetic number, because the mean of its divisors is an integer number (264439687680).

Almost surely, 214453254085560 is an apocalyptic number.

14453254085560 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 14453254085560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16924140011520).

14453254085560 is an abundant number, since it is smaller than the sum of its proper divisors (19395025937480).

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

14453254085560 is a wasteful number, since it uses less digits than its factorization.

14453254085560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41157 (or 41153 counting only the distinct ones).

The product of its (nonzero) digits is 11520000, while the sum is 52.

The spelling of 14453254085560 in words is "fourteen trillion, four hundred fifty-three billion, two hundred fifty-four million, eighty-five thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 127 155 248 254 310 508 620 635 1016 1240 1270 2377 2540 3937 4754 5080 7874 9508 11885 15748 19016 19685 23770 31496 38611 39370 47540 73687 77222 78740 95080 147374 154444 157480 193055 294748 301879 308888 368435 386110 589496 603758 736870 772220 1196941 1207516 1473740 1509395 1544440 2393882 2415032 2947480 3018790 4787764 4903597 5984705 6037580 9358249 9575528 9807194 11969410 12075160 18716498 19614388 23938820 24517985 37432996 39228776 46791245 47877640 49035970 74865992 91778347 93582490 98071940 152011507 183556694 187164980 196143880 304023014 367113388 374329960 458891735 608046028 734226776 760057535 917783470 1216092056 1520115070 1835566940 2845128757 3040230140 3671133880 5690257514 6080460280 11380515028 11655850069 14225643785 22761030056 23311700138 28451287570 46623400276 56902575140 58279250345 93246800552 113805150280 116558500690 233117001380 361331352139 466234002760 722662704278 1445325408556 1806656760695 2890650817112 3613313521390 7226627042780 14453254085560