Search a number
-
+
14532443120200 = 2352411772249161
BaseRepresentation
bin1101001101111001100100…
…0111000010001001001000
31220110021202221120221020111
43103132121013002021020
53401044420414321300
650524040123004104
73026635326244255
oct323363107021110
956407687527214
1014532443120200
1146a31a1310515
121768599969634
1381553266c565
1438353438242c
151a304ed9c9ba
hexd37991c2248

14532443120200 has 48 divisors (see below), whose sum is σ = 34612026133860. Its totient is φ = 5671197312000.

The previous prime is 14532443120189. The next prime is 14532443120213. The reversal of 14532443120200 is 202134423541.

It can be written as a sum of positive squares in 6 ways, for example, as 1924873210404 + 12607569909796 = 1387398^2 + 3550714^2 .

It is a super-2 number, since 2×145324431202002 (a number of 27 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 886116381 + ... + 886132780.

Almost surely, 214532443120200 is an apocalyptic number.

14532443120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14532443120200 is an abundant number, since it is smaller than the sum of its proper divisors (20079583013660).

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

14532443120200 is a wasteful number, since it uses less digits than its factorization.

14532443120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772249218 (or 1772249209 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 14532443120200 its reverse (202134423541), we get a palindrome (14734577543741).

The spelling of 14532443120200 in words is "fourteen trillion, five hundred thirty-two billion, four hundred forty-three million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 820 1025 1640 2050 4100 8200 1772249161 3544498322 7088996644 8861245805 14177993288 17722491610 35444983220 44306229025 70889966440 72662215601 88612458050 145324431202 177224916100 290648862404 354449832200 363311078005 581297724808 726622156010 1453244312020 1816555390025 2906488624040 3633110780050 7266221560100 14532443120200