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1244034243300 = 2235217327174573
BaseRepresentation
bin10010000110100110001…
…110000001101011100100
311101221001212220102220110
4102012212032001223210
5130340240231241200
62351300151133020
7155610220411062
oct22064616015344
94357055812813
101244034243300
1143a656997902
12181128674170
13904093bb184
14442d6801032
152256095db50
hex121a6381ae4

1244034243300 has 144 divisors (see below), whose sum is σ = 3812351743872. Its totient is φ = 312128563200.

The previous prime is 1244034243269. The next prime is 1244034243307. The reversal of 1244034243300 is 33424304421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1244034243307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16644814 + ... + 16719386.

It is an arithmetic number, because the mean of its divisors is an integer number (26474664888).

Almost surely, 21244034243300 is an apocalyptic number.

1244034243300 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 1244034243300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1906175871936).

1244034243300 is an abundant number, since it is smaller than the sum of its proper divisors (2568317500572).

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

1244034243300 is a wasteful number, since it uses less digits than its factorization.

1244034243300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77878 (or 77871 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 1244034243300 its reverse (33424304421), we get a palindrome (1277458547721).

The spelling of 1244034243300 in words is "one trillion, two hundred forty-four billion, thirty-four million, two hundred forty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 3271 5100 6542 9813 13084 16355 19626 32710 39252 49065 55607 65420 74573 81775 98130 111214 149146 163550 166821 196260 222428 223719 245325 278035 298292 327100 333642 372865 447438 490650 556070 667284 745730 834105 894876 981300 1112140 1118595 1267741 1390175 1491460 1668210 1864325 2237190 2535482 2780350 3336420 3728650 3803223 4170525 4474380 5070964 5560700 5592975 6338705 7457300 7606446 8341050 11185950 12677410 15212892 16682100 19016115 22371900 25354820 31693525 38032230 63387050 76064460 95080575 126774100 190161150 243928283 380322300 487856566 731784849 975713132 1219641415 1463569698 2439282830 2927139396 3658924245 4146780811 4878565660 6098207075 7317848490 8293561622 12196414150 12440342433 14635696980 16587123244 18294621225 20733904055 24392828300 24880684866 36589242450 41467808110 49761369732 62201712165 73178484900 82935616220 103669520275 124403424330 207339040550 248806848660 311008560825 414678081100 622017121650 1244034243300