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2412312020224 = 2817232605861
BaseRepresentation
bin100011000110101001000…
…000000100010100000000
322112121121011122122120221
4203012221000010110000
5304010403334121344
65044111214312424
7336166224564541
oct43065100042400
98477534578527
102412312020224
11850068279207
1232b6324b8714
13146631883282
1484a83c924c8
1542b3a72c184
hex231a9004500

2412312020224 has 54 divisors (see below), whose sum is σ = 5115109812974. Its totient is φ = 1135205621760.

The previous prime is 2412312020189. The next prime is 2412312020231. The reversal of 2412312020224 is 4220202132142.

It can be written as a sum of positive squares in 3 ways, for example, as 453521433600 + 1958790586624 = 673440^2 + 1399568^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16228947 + ... + 16376914.

Almost surely, 22412312020224 is an apocalyptic number.

It is an amenable number.

2412312020224 is an abundant number, since it is smaller than the sum of its proper divisors (2702797792750).

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

2412312020224 is an equidigital number, since it uses as much as digits as its factorization.

2412312020224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32605911 (or 32605880 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 2412312020224 its reverse (4220202132142), we get a palindrome (6632514152366).

The spelling of 2412312020224 in words is "two trillion, four hundred twelve billion, three hundred twelve million, twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 289 544 578 1088 1156 2176 2312 4352 4624 9248 18496 36992 73984 32605861 65211722 130423444 260846888 521693776 554299637 1043387552 1108599274 2086775104 2217198548 4173550208 4434397096 8347100416 8868794192 9423093829 17737588384 18846187658 35475176768 37692375316 70950353536 75384750632 141900707072 150769501264 301539002528 603078005056 1206156010112 2412312020224