Search a number
-
+
13423023212400 = 2432523728617559
BaseRepresentation
bin1100001101010100101010…
…0001111100011101110000
31202112020011120022021021200
43003111022201330131300
53224410322420244100
644314241324051200
72553532012520544
oct303251241743560
952466146267250
1013423023212400
11430574373635a
12160957b393b00
13764a2a122259
1434596bbd9a24
1518426c427e00
hexc354a87c770

13423023212400 has 90 divisors (see below), whose sum is σ = 46581619177080. Its totient is φ = 3579472855680.

The previous prime is 13423023212387. The next prime is 13423023212429. The reversal of 13423023212400 is 421232032431.

13423023212400 is a `hidden beast` number, since 1 + 3 + 4 + 23 + 0 + 23 + 212 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1864305180 + ... + 1864312379.

It is an arithmetic number, because the mean of its divisors is an integer number (517573546412).

Almost surely, 213423023212400 is an apocalyptic number.

13423023212400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13423023212400 is an abundant number, since it is smaller than the sum of its proper divisors (33158595964680).

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

13423023212400 is a wasteful number, since it uses less digits than its factorization.

13423023212400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3728617583 (or 3728617569 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 13423023212400 its reverse (421232032431), we get a palindrome (13844255244831).

The spelling of 13423023212400 in words is "thirteen trillion, four hundred twenty-three billion, twenty-three million, two hundred twelve thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 3600 3728617559 7457235118 11185852677 14914470236 18643087795 22371705354 29828940472 33557558031 37286175590 44743410708 55929263385 59657880944 67115116062 74572351180 89486821416 93215438975 111858526770 134230232124 149144702360 167787790155 178973642832 186430877950 223717053540 268460464248 279646316925 298289404720 335575580310 372861755900 447434107080 536920928496 559292633850 671151160620 745723511800 838938950775 894868214160 1118585267700 1342302321240 1491447023600 1677877901550 2237170535400 2684604642480 3355755803100 4474341070800 6711511606200 13423023212400