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134091242140905 = 3357141895494329
BaseRepresentation
bin11110011111010010001100…
…110110101111010011101001
3122120202222221012212222211000
4132133102030312233103221
5120033422330442002110
61153104355523425213
740146525661132320
oct3637221466572351
9576688835788730
10134091242140905
11397a885a489815
1213057945825209
1359a89996304ba
14251809d3790b7
15107804a9921c0
hex79f48cdaf4e9

134091242140905 has 32 divisors (see below), whose sum is σ = 272439349113600. Its totient is φ = 61298853549696.

The previous prime is 134091242140859. The next prime is 134091242140939. The reversal of 134091242140905 is 509041242190431.

134091242140905 is a `hidden beast` number, since 1 + 3 + 409 + 1 + 24 + 214 + 0 + 9 + 0 + 5 = 666.

It is not a de Polignac number, because 134091242140905 - 211 = 134091242138857 is a prime.

It is a super-2 number, since 2×1340912421409052 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70947746220 + ... + 70947748109.

It is an arithmetic number, because the mean of its divisors is an integer number (8513729659800).

Almost surely, 2134091242140905 is an apocalyptic number.

134091242140905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

134091242140905 is an abundant number, since it is smaller than the sum of its proper divisors (138348106972695).

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

134091242140905 is a wasteful number, since it uses less digits than its factorization.

134091242140905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141895494350 (or 141895494344 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 134091242140905 in words is "one hundred thirty-four trillion, ninety-one billion, two hundred forty-two million, one hundred forty thousand, nine hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 141895494329 425686482987 709477471645 993268460303 1277059448961 2128432414935 2979805380909 3831178346883 4966342301515 6385297244805 8939416142727 14899026904545 19155891734415 26818248428181 44697080713635 134091242140905