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2400434532312 = 233234314268623
BaseRepresentation
bin100010111011100101000…
…011000010111111011000
322111110221102001202020020
4202323211003002333120
5303312042220013222
65034424442430440
7335266001604105
oct42734503027730
98443842052206
102400434532312
118460227947a3
12329278802420
1314548ac14c0b
1484278645aac
1542692b0b65c
hex22ee50c2fd8

2400434532312 has 32 divisors (see below), whose sum is σ = 6001343854080. Its totient is φ = 800110507680.

The previous prime is 2400434532299. The next prime is 2400434532319. The reversal of 2400434532312 is 2132354340042.

2400434532312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400434532319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1571968 + ... + 2696655.

It is an arithmetic number, because the mean of its divisors is an integer number (187541995440).

Almost surely, 22400434532312 is an apocalyptic number.

It is an amenable number.

2400434532312 is an abundant number, since it is smaller than the sum of its proper divisors (3600909321768).

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

2400434532312 is a wasteful number, since it uses less digits than its factorization.

2400434532312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4292063 (or 4292059 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 33.

Adding to 2400434532312 its reverse (2132354340042), we get a palindrome (4532788872354).

The spelling of 2400434532312 in words is "two trillion, four hundred billion, four hundred thirty-four million, five hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 23431 46862 70293 93724 140586 187448 281172 562344 4268623 8537246 12805869 17074492 25611738 34148984 51223476 102446952 100018105513 200036211026 300054316539 400072422052 600108633078 800144844104 1200217266156 2400434532312