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411013434132 = 223272233000813
BaseRepresentation
bin1011111101100100100…
…11110100101100010100
31110021220020021210101200
411332302103310230110
523213223414343012
6512452244152500
741460203355300
oct5766223645424
91407806253350
10411013434132
11149345406484
12677a7698730
132c9b228a682
1415c70b6cd00
15aa5873d3dc
hex5fb24f4b14

411013434132 has 54 divisors (see below), whose sum is σ = 1208575222218. Its totient is φ = 117432409248.

The previous prime is 411013434113. The next prime is 411013434137. The reversal of 411013434132 is 231434310114.

411013434132 is a `hidden beast` number, since 4 + 110 + 134 + 3 + 413 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 211199070096 + 199814364036 = 459564^2 + 447006^2 .

It is a junction number, because it is equal to n+sod(n) for n = 411013434096 and 411013434105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411013434137) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 116498643 + ... + 116502170.

Almost surely, 2411013434132 is an apocalyptic number.

411013434132 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

411013434132 is an abundant number, since it is smaller than the sum of its proper divisors (797561788086).

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

411013434132 is a wasteful number, since it uses less digits than its factorization.

411013434132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233000837 (or 233000825 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 411013434132 its reverse (231434310114), we get a palindrome (642447744246).

The spelling of 411013434132 in words is "four hundred eleven billion, thirteen million, four hundred thirty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 233000813 466001626 699002439 932003252 1398004878 1631005691 2097007317 2796009756 3262011382 4194014634 4893017073 6524022764 8388029268 9786034146 11417039837 14679051219 19572068292 22834079674 29358102438 34251119511 45668159348 58716204876 68502239022 102753358533 137004478044 205506717066 411013434132