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12432110235440 = 245722200196849
BaseRepresentation
bin1011010011101001001110…
…0000111010111100110000
31122000111110010201102222112
42310322103200322330300
53112141430210013230
642235122124024452
72422122165266210
oct264722340727460
948014403642875
1012432110235440
113a6347913a365
121489514692128
136c245c65592c
1430da0857c240
151685c382cd95
hexb4e9383af30

12432110235440 has 40 divisors (see below), whose sum is σ = 33033892912800. Its totient is φ = 4262437794816.

The previous prime is 12432110235439. The next prime is 12432110235491. The reversal of 12432110235440 is 4453201123421.

12432110235440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×124321102354402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12432110235397 and 12432110235406.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11100097865 + ... + 11100098984.

It is an arithmetic number, because the mean of its divisors is an integer number (825847322820).

Almost surely, 212432110235440 is an apocalyptic number.

12432110235440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12432110235440 is an abundant number, since it is smaller than the sum of its proper divisors (20601782677360).

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

12432110235440 is a wasteful number, since it uses less digits than its factorization.

12432110235440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22200196869 (or 22200196863 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 12432110235440 its reverse (4453201123421), we get a palindrome (16885311358861).

The spelling of 12432110235440 in words is "twelve trillion, four hundred thirty-two billion, one hundred ten million, two hundred thirty-five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 22200196849 44400393698 88800787396 111000984245 155401377943 177601574792 222001968490 310802755886 355203149584 444003936980 621605511772 777006889715 888007873960 1243211023544 1554013779430 1776015747920 2486422047088 3108027558860 6216055117720 12432110235440