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23123344114000 = 2453134943179923
BaseRepresentation
bin1010100000111110100101…
…01101100100000101010000
310000212120101121102222121101
411100133102231210011100
511012323102043122000
6121102415002034144
74604415010654624
oct520372255440520
9100776347388541
1023123344114000
117405611a23209
1227155611a8954
13cb96a2a87580
1459d26667b184
152a1757e48e6a
hex1507d2b64150

23123344114000 has 160 divisors (see below), whose sum is σ = 60225704308224. Its totient is φ = 8536075430400.

The previous prime is 23123344113973. The next prime is 23123344114019. The reversal of 23123344114000 is 41144332132.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 23123344114000.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 128428039 + ... + 128607961.

Almost surely, 223123344114000 is an apocalyptic number.

23123344114000 is a gapful number since it is divisible by the number (20) 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 23123344114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30112852154112).

23123344114000 is an abundant number, since it is smaller than the sum of its proper divisors (37102360194224).

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

23123344114000 is a wasteful number, since it uses less digits than its factorization.

23123344114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184902 (or 184886 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 23123344114000 its reverse (41144332132), we get a palindrome (23164488446132).

The spelling of 23123344114000 in words is "twenty-three trillion, one hundred twenty-three billion, three hundred forty-four million, one hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 650 1000 1040 1300 1625 2000 2600 3250 4943 5200 6500 9886 13000 19772 24715 26000 39544 49430 64259 79088 98860 123575 128518 179923 197720 247150 257036 321295 359846 395440 494300 514072 617875 642590 719692 899615 988600 1028144 1235750 1285180 1439384 1606475 1799230 1977200 2338999 2471500 2570360 2878768 3212950 3598460 4498075 4677998 4943000 5140720 6425900 7196920 8032375 8996150 9355996 9886000 11694995 12851800 14393840 16064750 17992300 18711992 22490375 23389990 25703600 32129500 35984600 37423984 44980750 46779980 58474975 64259000 71969200 89961500 93559960 116949950 128518000 179923000 187119920 233899900 292374875 359846000 467799800 584749750 889359389 935599600 1169499500 1778718778 2338999000 3557437556 4446796945 4677998000 7114875112 8893593890 11561672057 14229750224 17787187780 22233984725 23123344114 35574375560 44467969450 46246688228 57808360285 71148751120 88935938900 92493376456 111169923625 115616720570 177871877800 184986752912 222339847250 231233441140 289041801425 355743755600 444679694500 462466882280 578083602850 889359389000 924933764560 1156167205700 1445209007125 1778718778000 2312334411400 2890418014250 4624668822800 5780836028500 11561672057000 23123344114000