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134033140114299 = 321092274631299979
BaseRepresentation
bin11110011110011100000101…
…101101000110001101111011
3122120120102221222200020002200
4132132130011231012031323
5120031444332332124144
61153021550255401243
740142401106063616
oct3636340555061573
9576512858606080
10134033140114299
11397861543a3208
121304862b523223
1359a336a1775ba
14251534a9c317d
151076799b9bc69
hex79e705b4637b

134033140114299 has 48 divisors (see below), whose sum is σ = 196664302348800. Its totient is φ = 87955180302528.

The previous prime is 134033140114283. The next prime is 134033140114301. The reversal of 134033140114299 is 992411041330431.

134033140114299 is a `hidden beast` number, since 1 + 3 + 40 + 3 + 314 + 0 + 1 + 1 + 4 + 299 = 666.

It is not a de Polignac number, because 134033140114299 - 24 = 134033140114283 is a prime.

It is a super-2 number, since 2×1340331401142992 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (134033140114399) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102454092 + ... + 103754070.

It is an arithmetic number, because the mean of its divisors is an integer number (4097172965600).

Almost surely, 2134033140114299 is an apocalyptic number.

134033140114299 is a deficient number, since it is larger than the sum of its proper divisors (62631162234501).

134033140114299 is a wasteful number, since it uses less digits than its factorization.

134033140114299 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300784 (or 1300781 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 134033140114299 in words is "one hundred thirty-four trillion, thirty-three billion, one hundred forty million, one hundred fourteen thousand, two hundred ninety-nine".

Divisors: 1 3 9 109 227 327 463 681 981 1389 2043 4167 24743 50467 74229 105101 151401 222687 315303 454203 945909 1299979 3899937 11456009 11699811 34368027 103104081 141697711 295095233 425093133 601890277 885285699 1275279399 1805670831 2655857097 5417012493 32165380397 65606040193 96496141191 136629092879 196818120579 289488423573 409887278637 590454361737 1229661835911 14892571123811 44677713371433 134033140114299