Search a number
-
+
12401441129 = 7112172291747
BaseRepresentation
bin10111000110010111…
…01111100101101001
31012000021111111001102
423203023233211221
5200344232104004
65410325531145
7616214340020
oct134313574551
935007444042
1012401441129
115294321300
1224a1273ab5
13122838c05c
148590798b7
154c8b1b11e
hex2e32ef969

12401441129 has 72 divisors (see below), whose sum is σ = 17129421120. Its totient is φ = 8776373760.

The previous prime is 12401441119. The next prime is 12401441141. The reversal of 12401441129 is 92114410421.

It is not a de Polignac number, because 12401441129 - 28 = 12401440873 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12401441119) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7097834 + ... + 7099580.

Almost surely, 212401441129 is an apocalyptic number.

It is an amenable number.

12401441129 is a deficient number, since it is larger than the sum of its proper divisors (4727979991).

12401441129 is a wasteful number, since it uses less digits than its factorization.

12401441129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1839 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The spelling of 12401441129 in words is "twelve billion, four hundred one million, four hundred forty-one thousand, one hundred twenty-nine".

Divisors: 1 7 11 17 29 77 119 121 187 203 289 319 493 847 1309 1747 2023 2057 2233 3179 3451 3509 5423 8381 12229 14399 19217 22253 24563 29699 34969 37961 50663 58667 59653 92191 134519 207893 211387 244783 326689 354641 417571 504883 557293 645337 861271 1014101 1479709 2286823 3534181 3593579 3901051 5553713 6028897 6130223 7098707 9473981 14641607 25155053 38875991 42911561 61090843 66317867 102491249 104213791 161057677 427635901 729496537 1127403739 1771634447 12401441129