Search a number
-
+
12432041025030 = 2335116168620859
BaseRepresentation
bin1011010011101000111101…
…1000111001111000000110
31122000111021022111012011000
42310322033120321320012
53112141310000300110
642235111212354130
72422120365101454
oct264721730717006
948014238435130
1012432041025030
113a63443068580
1214894b5475946
136c244b202623
1430d9dd2c39d4
151685bc70b1c0
hexb4e8f639e06

12432041025030 has 128 divisors (see below), whose sum is σ = 36758822284800. Its totient is φ = 2964421065600.

The previous prime is 12432041024989. The next prime is 12432041025031. The reversal of 12432041025030 is 3052014023421.

12432041025030 is a `hidden beast` number, since 1 + 24 + 32 + 0 + 4 + 102 + 503 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12432041024985 and 12432041025003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12432041025031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34129260 + ... + 34491599.

It is an arithmetic number, because the mean of its divisors is an integer number (287178299100).

Almost surely, 212432041025030 is an apocalyptic number.

12432041025030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12432041025030 is an abundant number, since it is smaller than the sum of its proper divisors (24326781259770).

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

12432041025030 is a wasteful number, since it uses less digits than its factorization.

12432041025030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68620947 (or 68620941 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 12432041025030 its reverse (3052014023421), we get a palindrome (15484055048451).

The spelling of 12432041025030 in words is "twelve trillion, four hundred thirty-two billion, forty-one million, twenty-five thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 61 66 90 99 110 122 135 165 183 198 270 297 305 330 366 495 549 594 610 671 915 990 1098 1342 1485 1647 1830 2013 2745 2970 3294 3355 4026 5490 6039 6710 8235 10065 12078 16470 18117 20130 30195 36234 60390 90585 181170 68620859 137241718 205862577 343104295 411725154 617587731 686208590 754829449 1029312885 1235175462 1509658898 1852763193 2058625770 2264488347 3087938655 3705526386 3774147245 4185872399 4528976694 6175877310 6793465041 7548294490 8371744798 9263815965 11322441735 12557617197 13586930082 18527631930 20380395123 20929361995 22644883470 25115234394 33967325205 37672851591 40760790246 41858723990 46044596389 62788085985 67934650410 75345703182 92089192778 101901975615 113018554773 125576171970 138133789167 188364257955 203803951230 226037109546 230222981945 276267578334 376728515910 414401367501 460445963890 565092773865 690668945835 828802735002 1130185547730 1243204102503 1381337891670 2072006837505 2486408205006 4144013675010 6216020512515 12432041025030