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23141411244 = 22327476013251
BaseRepresentation
bin10101100011010101…
…011110100110101100
32012201202122111100100
4111203111132212230
5334343200124434
614344144431100
71446315515160
oct254325364654
965652574310
1023141411244
1198a57a5866
12459a018490
13224a471963
1411975bcca0
15906944699
hex56355e9ac

23141411244 has 144 divisors (see below), whose sum is σ = 68410008576. Its totient is φ = 6458400000.

The previous prime is 23141411207. The next prime is 23141411257. The reversal of 23141411244 is 44211414132.

23141411244 is a `hidden beast` number, since 2 + 3 + 1 + 4 + 1 + 411 + 244 = 666.

It is a nude number because it is divisible by every one of its digits.

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 47 ways as a sum of consecutive naturals, for example, 7116619 + ... + 7119869.

It is an arithmetic number, because the mean of its divisors is an integer number (475069504).

Almost surely, 223141411244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23141411244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34205004288).

23141411244 is an abundant number, since it is smaller than the sum of its proper divisors (45268597332).

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

23141411244 is a wasteful number, since it uses less digits than its factorization.

23141411244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3916 (or 3911 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 23141411244 its reverse (44211414132), we get a palindrome (67352825376).

The spelling of 23141411244 in words is "twenty-three billion, one hundred forty-one million, four hundred eleven thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 47 63 84 94 126 141 188 252 282 329 423 564 601 658 846 987 1202 1316 1692 1803 1974 2404 2961 3251 3606 3948 4207 5409 5922 6502 7212 8414 9753 10818 11844 12621 13004 16828 19506 21636 22757 25242 28247 29259 37863 39012 45514 50484 56494 58518 68271 75726 84741 91028 112988 117036 136542 151452 152797 169482 197729 204813 254223 273084 305594 338964 395458 409626 458391 508446 593187 611188 790916 819252 916782 1016892 1069579 1186374 1375173 1779561 1833564 1953851 2139158 2372748 2750346 3208737 3559122 3907702 4278316 5500692 5861553 6417474 7118244 7815404 9626211 11723106 12834948 13676957 17584659 19252422 23446212 27353914 35169318 38504844 41030871 54707828 70338636 82061742 91830997 123092613 164123484 183661994 246185226 275492991 367323988 492370452 550985982 642816979 826478973 1101971964 1285633958 1652957946 1928450937 2571267916 3305915892 3856901874 5785352811 7713803748 11570705622 23141411244