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414114444 = 22341278131
BaseRepresentation
bin11000101011101…
…110001010001100
31001212020012020000
4120223232022030
51322003130234
6105031524300
713155625512
oct3053561214
91055205200
10414114444
111a2836347
12b6829690
1367a43b43
143cdda4b2
1526550899
hex18aee28c

414114444 has 30 divisors (see below), whose sum is σ = 1082577804. Its totient is φ = 138038040.

The previous prime is 414114439. The next prime is 414114469. The reversal of 414114444 is 444411414.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 638742 + ... + 639389.

Almost surely, 2414114444 is an apocalyptic number.

It is an amenable number.

414114444 is an abundant number, since it is smaller than the sum of its proper divisors (668463360).

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

414114444 is a wasteful number, since it uses less digits than its factorization.

414114444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278147 (or 1278136 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

The square root of 414114444 is about 20349.8020629194. The cubic root of 414114444 is about 745.3726610272.

Adding to 414114444 its reverse (444411414), we get a palindrome (858525858).

The spelling of 414114444 in words is "four hundred fourteen million, one hundred fourteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 1278131 2556262 3834393 5112524 7668786 11503179 15337572 23006358 34509537 46012716 69019074 103528611 138038148 207057222 414114444