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414112213104 = 24364679133387
BaseRepresentation
bin1100000011010110000…
…00101110100001110000
31110120220012012002000020
412001223000232201300
523241100211304404
6514123541523440
741630041506312
oct6015300564160
91416805162006
10414112213104
1114a695603a37
1268311413580
13300872789b5
14160865297b2
15ab8a7e4ed9
hex606b02e870

414112213104 has 40 divisors (see below), whose sum is σ = 1069814444160. Its totient is φ = 138034235328.

The previous prime is 414112213061. The next prime is 414112213127. The reversal of 414112213104 is 401312211414.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 3037899 + ... + 3171285.

It is an arithmetic number, because the mean of its divisors is an integer number (26745361104).

Almost surely, 2414112213104 is an apocalyptic number.

It is an amenable number.

414112213104 is an abundant number, since it is smaller than the sum of its proper divisors (655702231056).

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

414112213104 is a wasteful number, since it uses less digits than its factorization.

414112213104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198077 (or 198071 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 414112213104 its reverse (401312211414), we get a palindrome (815424424518).

The spelling of 414112213104 in words is "four hundred fourteen billion, one hundred twelve million, two hundred thirteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 64679 129358 133387 194037 258716 266774 388074 400161 517432 533548 776148 800322 1034864 1067096 1552296 1600644 2134192 3104592 3201288 6402576 8627337773 17254675546 25882013319 34509351092 51764026638 69018702184 103528053276 138037404368 207056106552 414112213104