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12430240115040 = 2533511379768891
BaseRepresentation
bin1011010011100010010000…
…0010111110100101100000
31122000022121210202111002000
42310320210002332211200
53112124112432140130
642234212400524000
72422024636444146
oct264704402764540
948008553674060
1012430240115040
113a626a9542210
121489092320600
136c2222084307
1430d8ac051596
15168514573260
hexb4e240be960

12430240115040 has 384 divisors, whose sum is σ = 47474105495040. Its totient is φ = 3012554188800.

The previous prime is 12430240115003. The next prime is 12430240115203. The reversal of 12430240115040 is 4051104203421.

12430240115040 is a `hidden beast` number, since 1 + 2 + 430 + 2 + 40 + 1 + 150 + 40 = 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 = 12430240114995 and 12430240115013.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 180398995 + ... + 180467885.

It is an arithmetic number, because the mean of its divisors is an integer number (123630483060).

Almost surely, 212430240115040 is an apocalyptic number.

12430240115040 is a gapful number since it is divisible by the number (10) 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 12430240115040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23737052747520).

12430240115040 is an abundant number, since it is smaller than the sum of its proper divisors (35043865380000).

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

12430240115040 is a wasteful number, since it uses less digits than its factorization.

12430240115040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72723 (or 72709 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 12430240115040 its reverse (4051104203421), we get a palindrome (16481344318461).

The spelling of 12430240115040 in words is "twelve trillion, four hundred thirty billion, two hundred forty million, one hundred fifteen thousand, forty".