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414910106416 = 241317117338831
BaseRepresentation
bin1100000100110101001…
…00011100101100110000
31110122221210120020212101
412002122210130230300
523244213441401131
6514335043310144
741655600500011
oct6023244345460
91418853506771
10414910106416
1114aa64a35aa3
12684b467b354
1330183671a10
14161204a7008
15abd58a2c61
hex609a91cb30

414910106416 has 40 divisors (see below), whose sum is σ = 916650955584. Its totient is φ = 180232442880.

The previous prime is 414910106407. The next prime is 414910106419. The reversal of 414910106416 is 614601019414.

It is a super-2 number, since 2×4149101064162 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (414910106419) 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, 58665880 + ... + 58672951.

Almost surely, 2414910106416 is an apocalyptic number.

It is an amenable number.

414910106416 is an abundant number, since it is smaller than the sum of its proper divisors (501740849168).

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

414910106416 is a wasteful number, since it uses less digits than its factorization.

414910106416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117338869 (or 117338863 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The spelling of 414910106416 in words is "four hundred fourteen billion, nine hundred ten million, one hundred six thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 884 1768 3536 117338831 234677662 469355324 938710648 1525404803 1877421296 1994760127 3050809606 3989520254 6101619212 7979040508 12203238424 15958081016 24406476848 25931881651 31916162032 51863763302 103727526604 207455053208 414910106416