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134105304465 = 325111847146681
BaseRepresentation
bin111110011100101001…
…1001000110110010001
3110211011000210022122100
41330321103020312101
54144121424220330
6141335050031013
712455153165016
oct1747123106621
9424130708570
10134105304465
1151967a48140
1221ba7718469
13c852576282
1466c27d170d
15374d48a060
hex1f394c8d91

134105304465 has 48 divisors (see below), whose sum is σ = 253719962496. Its totient is φ = 64985107200.

The previous prime is 134105304451. The next prime is 134105304481. The reversal of 134105304465 is 564403501431.

134105304465 is a `hidden beast` number, since 1 + 341 + 0 + 5 + 304 + 4 + 6 + 5 = 666.

It is not a de Polignac number, because 134105304465 - 217 = 134105173393 is a prime.

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, 840925 + ... + 987605.

It is an arithmetic number, because the mean of its divisors is an integer number (5285832552).

Almost surely, 2134105304465 is an apocalyptic number.

134105304465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

134105304465 is a deficient number, since it is larger than the sum of its proper divisors (119614658031).

134105304465 is a wasteful number, since it uses less digits than its factorization.

134105304465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148550 (or 148547 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 134105304465 its reverse (564403501431), we get a palindrome (698508805896).

The spelling of 134105304465 in words is "one hundred thirty-four billion, one hundred five million, three hundred four thousand, four hundred sixty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 1847 5541 9235 16623 20317 27705 60951 83115 101585 146681 182853 304755 440043 733405 914265 1320129 1613491 2200215 4840473 6600645 8067455 14521419 24202365 72607095 270919807 812759421 1354599035 2438278263 2980117877 4063797105 8940353631 12191391315 14900589385 26821060893 44701768155 134105304465