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34424343401133 = 3729193451964811
BaseRepresentation
bin1111101001111000010101…
…10000101001001010101101
311111212221020200100201220110
413310330022300221022231
514003002023402314013
6201114154113010233
710152035214655320
oct764741260511255
9144787220321813
1034424343401133
11aa72311455654
123a3b802b53979
131629281057a8a
1487020b9587b7
153ea6c98a22c3
hex1f4f0ac292ad

34424343401133 has 64 divisors (see below), whose sum is σ = 54559052697600. Its totient is φ = 18889860648960.

The previous prime is 34424343401051. The next prime is 34424343401141. The reversal of 34424343401133 is 33110434342443.

It is not a de Polignac number, because 34424343401133 - 216 = 34424343335597 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34424343401091 and 34424343401100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34424343401183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 531117298 + ... + 531182108.

It is an arithmetic number, because the mean of its divisors is an integer number (852485198400).

Almost surely, 234424343401133 is an apocalyptic number.

It is an amenable number.

34424343401133 is a deficient number, since it is larger than the sum of its proper divisors (20134709296467).

34424343401133 is a wasteful number, since it uses less digits than its factorization.

34424343401133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69562.

The product of its (nonzero) digits is 497664, while the sum is 39.

Adding to 34424343401133 its reverse (33110434342443), we get a palindrome (67534777743576).

The spelling of 34424343401133 in words is "thirty-four trillion, four hundred twenty-four billion, three hundred forty-three million, four hundred one thousand, one hundred thirty-three".

Divisors: 1 3 7 21 29 87 193 203 579 609 1351 4053 4519 5597 13557 16791 31633 39179 64811 94899 117537 131051 194433 393153 453677 872167 917357 1361031 1879519 2616501 2752071 5638557 6105169 12508523 13156633 18315507 25292843 37525569 39469899 75878529 87559661 177049901 262678983 292880909 362747167 531149703 878642727 1088241501 2050166363 2539230169 6150499089 7617690507 8493546361 25480639083 56526015437 59454824527 169578046311 178364473581 395682108059 1187046324177 1639254447673 4917763343019 11474781133711 34424343401133