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244133132430 = 2351119322317189
BaseRepresentation
bin1110001101011101110…
…1111111100010001110
3212100011001120002210210
43203113131333202032
512444441040214210
6304053032143250
723431563246405
oct3432735774216
9770131502723
10244133132430
1194599874870
123b393837b26
131a038767615
14bb5d57a63c
15653cc2ce20
hex38d777f88e

244133132430 has 128 divisors (see below), whose sum is σ = 645415464960. Its totient is φ = 58609704960.

The previous prime is 244133132393. The next prime is 244133132473. The reversal of 244133132430 is 34231331442.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14194276 + ... + 14211464.

It is an arithmetic number, because the mean of its divisors is an integer number (5042308320).

Almost surely, 2244133132430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244133132430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322707732480).

244133132430 is an abundant number, since it is smaller than the sum of its proper divisors (401282332530).

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

244133132430 is a wasteful number, since it uses less digits than its factorization.

244133132430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17626.

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 244133132430 its reverse (34231331442), we get a palindrome (278364463872).

The spelling of 244133132430 in words is "two hundred forty-four billion, one hundred thirty-three million, one hundred thirty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 193 223 330 386 446 579 669 965 1115 1158 1338 1930 2123 2230 2453 2895 3345 4246 4906 5790 6369 6690 7359 10615 12265 12738 14718 17189 21230 24530 31845 34378 36795 43039 51567 63690 73590 85945 86078 103134 129117 171890 189079 215195 257835 258234 378158 430390 473429 515670 567237 645585 945395 946858 1134474 1291170 1420287 1890790 2367145 2836185 2840574 3317477 3833147 4734290 5672370 6634954 7101435 7666294 9952431 11499441 14202870 16587385 19165735 19904862 22998882 33174770 36492247 38331470 42164617 49762155 57497205 72984494 84329234 99524310 109476741 114994410 126493851 182461235 210823085 218953482 252987702 364922470 421646170 547383705 632469255 739797371 1094767410 1264938510 1479594742 2219392113 3698986855 4438784226 7397973710 8137771081 11096960565 16275542162 22193921130 24413313243 40688855405 48826626486 81377710810 122066566215 244133132430