Search a number
-
+
23124113214000 = 243533854018869
BaseRepresentation
bin1010100001000000000001…
…00011011100101000110000
310000212122101012122022110120
411100200000203130220300
511012331140440322000
6121103023154330240
74604443040133651
oct520400043345060
9100778335568416
1023124113214000
117405977079447
122715736889980
13cb979620b926
1459d2da881528
152a17a071a6a0
hex1508008dca30

23124113214000 has 80 divisors (see below), whose sum is σ = 74552141021280. Its totient is φ = 6166430188800.

The previous prime is 23124113213987. The next prime is 23124113214011. The reversal of 23124113214000 is 41231142132.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×231241132140002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1927003435 + ... + 1927015434.

It is an arithmetic number, because the mean of its divisors is an integer number (931901762766).

Almost surely, 223124113214000 is an apocalyptic number.

23124113214000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23124113214000 is an abundant number, since it is smaller than the sum of its proper divisors (51428027807280).

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

23124113214000 is a wasteful number, since it uses less digits than its factorization.

23124113214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3854018895 (or 3854018879 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 23124113214000 its reverse (41231142132), we get a palindrome (23165344356132).

The spelling of 23124113214000 in words is "twenty-three trillion, one hundred twenty-four billion, one hundred thirteen million, two hundred fourteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 3854018869 7708037738 11562056607 15416075476 19270094345 23124113214 30832150952 38540188690 46248226428 57810283035 61664301904 77080377380 92496452856 96350471725 115620566070 154160754760 184992905712 192700943450 231241132140 289051415175 308321509520 385401886900 462482264280 481752358625 578102830350 770803773800 924964528560 963504717250 1156205660700 1445257075875 1541607547600 1927009434500 2312411321400 2890514151750 3854018869000 4624822642800 5781028303500 7708037738000 11562056607000 23124113214000