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134430312000430 = 25171941619291641
BaseRepresentation
bin11110100100001101111110…
…111111100110101110101110
3122121222102010120122112012101
4132210031332333212232232
5120110001234333003210
61153524233251325314
740213161310314655
oct3644157677465656
9577872116575171
10134430312000430
1139919636595816
12130b15b35b083a
135a019548c4084
14252a66732419c
151081c93155a3a
hex7a437efe6bae

134430312000430 has 32 divisors (see below), whose sum is σ = 269693009840160. Its totient is φ = 47945423969280.

The previous prime is 134430312000409. The next prime is 134430312000433. The reversal of 134430312000430 is 34000213034431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134430312000433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20809642591 + ... + 20809649050.

It is an arithmetic number, because the mean of its divisors is an integer number (8427906557505).

Almost surely, 2134430312000430 is an apocalyptic number.

134430312000430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

134430312000430 is an abundant number, since it is smaller than the sum of its proper divisors (135262697839730).

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

134430312000430 is a wasteful number, since it uses less digits than its factorization.

134430312000430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41619291684.

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 134430312000430 its reverse (34000213034431), we get a palindrome (168430525034861).

The spelling of 134430312000430 in words is "one hundred thirty-four trillion, four hundred thirty billion, three hundred twelve million, four hundred thirty", and thus it is an aban number.

Divisors: 1 2 5 10 17 19 34 38 85 95 170 190 323 646 1615 3230 41619291641 83238583282 208096458205 416192916410 707527957897 790766541179 1415055915794 1581533082358 3537639789485 3953832705895 7075279578970 7907665411790 13443031200043 26886062400086 67215156000215 134430312000430