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123441402132 = 223223379393361
BaseRepresentation
bin111001011110110101…
…1100101000100010100
3102210121211202221201200
41302331223211010110
54010301444332012
6132412545352500
711626664414526
oct1627553450424
9383554687650
10123441402132
11483954a9514
121bb10338730
13b843177ca9
145d9040da16
15332718a3dc
hex1cbdae5114

123441402132 has 72 divisors (see below), whose sum is σ = 326458991040. Its totient is φ = 39254181120.

The previous prime is 123441402131. The next prime is 123441402137. The reversal of 123441402132 is 231204144321.

123441402132 is a `hidden beast` number, since 1 + 2 + 3 + 441 + 4 + 0 + 213 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 123441402096 and 123441402105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123441402131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117132 + ... + 510492.

Almost surely, 2123441402132 is an apocalyptic number.

123441402132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123441402132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163229495520).

123441402132 is an abundant number, since it is smaller than the sum of its proper divisors (203017588908).

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

123441402132 is a wasteful number, since it uses less digits than its factorization.

123441402132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393773 (or 393768 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 123441402132 its reverse (231204144321), we get a palindrome (354645546453).

The spelling of 123441402132 in words is "one hundred twenty-three billion, four hundred forty-one million, four hundred two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 379 414 758 828 1137 1516 2274 3411 4548 6822 8717 13644 17434 26151 34868 52302 78453 104604 156906 313812 393361 786722 1180083 1573444 2360166 3540249 4720332 7080498 9047303 14160996 18094606 27141909 36189212 54283818 81425727 108567636 149083819 162851454 298167638 325702908 447251457 596335276 894502914 1341754371 1789005828 2683508742 3428927837 5367017484 6857855674 10286783511 13715711348 20573567022 30860350533 41147134044 61720701066 123441402132