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412041140214 = 231143145187153
BaseRepresentation
bin1011111111011111001…
…00001101011111110110
31110101112212002200002220
411333233210031133312
523222330012441324
6513142235343210
741524522622034
oct5775744153766
91411485080086
10412041140214
11149822533250
1267a338b1b06
132cb17178692
1415d2b44d554
15aab8a93b79
hex5fef90d7f6

412041140214 has 32 divisors (see below), whose sum is σ = 919905807744. Its totient is φ = 121957207680.

The previous prime is 412041140197. The next prime is 412041140243.

412041140214 is nontrivially palindromic in base 10.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72590739 + ... + 72596414.

It is an arithmetic number, because the mean of its divisors is an integer number (28747056492).

Almost surely, 2412041140214 is an apocalyptic number.

412041140214 is an abundant number, since it is smaller than the sum of its proper divisors (507864667530).

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

412041140214 is a wasteful number, since it uses less digits than its factorization.

412041140214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145187212.

The product of its (nonzero) digits is 1024, while the sum is 24.

It can be divided in two parts, 412041 and 140214, that added together give a palindrome (552255).

The spelling of 412041140214 in words is "four hundred twelve billion, forty-one million, one hundred forty thousand, two hundred fourteen".

Divisors: 1 2 3 6 11 22 33 43 66 86 129 258 473 946 1419 2838 145187153 290374306 435561459 871122918 1597058683 3194117366 4791176049 6243047579 9582352098 12486095158 18729142737 37458285474 68673523369 137347046738 206020570107 412041140214