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134285582431 = 71113691194141
BaseRepresentation
bin111110100010000001…
…0110110000001011111
3110211121121000101112001
41331010002312001133
54200004102114211
6141405010023131
712462502421530
oct1750402660137
9424547011461
10134285582431
1151a4a78a6a0
1222037b77aa7
13c880a16820
1466dc71c687
15375e1eaac1
hex1f440b605f

134285582431 has 32 divisors (see below), whose sum is σ = 180561378816. Its totient is φ = 96448752000.

The previous prime is 134285582423. The next prime is 134285582437.

134285582431 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 134285582431 - 23 = 134285582423 is a prime.

It is a super-2 number, since 2×1342855824312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134285582437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 594621 + ... + 788761.

It is an arithmetic number, because the mean of its divisors is an integer number (5642543088).

Almost surely, 2134285582431 is an apocalyptic number.

134285582431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

134285582431 is a deficient number, since it is larger than the sum of its proper divisors (46275796385).

134285582431 is a wasteful number, since it uses less digits than its factorization.

134285582431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194863.

The product of its digits is 921600, while the sum is 46.

The spelling of 134285582431 in words is "one hundred thirty-four billion, two hundred eighty-five million, five hundred eighty-two thousand, four hundred thirty-one".

Divisors: 1 7 11 13 77 91 143 691 1001 4837 7601 8983 53207 62881 98813 194141 691691 1358987 2135551 2523833 14948857 17666831 27762163 134151431 194335141 939060017 1475665741 1743968603 10329660187 12207780221 19183654633 134285582431