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4024341200133 = 34174098538377
BaseRepresentation
bin111010100011111101011…
…011010111110100000101
3112020201112020221210020000
4322203331123113310011
51011413322321401013
612320431250231513
7563514632540142
oct72437533276405
915221466853200
104024341200133
1113117937695a1
1254bb3b885599
132326559b9737
14dcac9dd53c9
156ea37de7973
hex3a8fd6d7d05

4024341200133 has 80 divisors (see below), whose sum is σ = 6389104019760. Its totient is φ = 2515649716224.

The previous prime is 4024341200101. The next prime is 4024341200161. The reversal of 4024341200133 is 3310021434204.

4024341200133 is a `hidden beast` number, since 4 + 0 + 243 + 412 + 0 + 0 + 1 + 3 + 3 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 24529197924 + 3999812002209 = 156618^2 + 1999953^2 .

It is not a de Polignac number, because 4024341200133 - 25 = 4024341200101 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4024341200097 and 4024341200106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4024341200233) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 480399441 + ... + 480407817.

It is an arithmetic number, because the mean of its divisors is an integer number (79863800247).

Almost surely, 24024341200133 is an apocalyptic number.

It is an amenable number.

4024341200133 is a deficient number, since it is larger than the sum of its proper divisors (2364762819627).

4024341200133 is a wasteful number, since it uses less digits than its factorization.

4024341200133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9668 (or 9659 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 4024341200133 its reverse (3310021434204), we get a palindrome (7334362634337).

The spelling of 4024341200133 in words is "four trillion, twenty-four billion, three hundred forty-one million, two hundred thousand, one hundred thirty-three".

Divisors: 1 3 9 17 27 51 81 153 409 459 853 1227 1377 2559 3681 6953 7677 8377 11043 14501 20859 23031 25131 33129 43503 62577 69093 75393 130509 142409 187731 226179 348877 391527 427227 563193 678537 1046631 1174581 1281681 3139893 3426193 3845043 5930909 7145581 9419679 10278579 11535129 17792727 21436743 28259037 30835737 53378181 58245281 64310229 92507211 121474877 160134543 174735843 192930687 277521633 364424631 480403629 524207529 578792061 1093273893 1572622587 2922542629 3279821679 4717867761 8767627887 9839465037 26302883661 49683224693 78908650983 149049674079 236725952949 447149022237 1341447066711 4024341200133