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414100036 = 227137107951
BaseRepresentation
bin11000101011101…
…010101001000100
31001212012110110101
4120223222221010
51322002200121
6105031333444
713155535510
oct3053525104
91055173411
10414100036
111a2826539
12b6821284
1367a3a40c
143cdd5140
152654b491
hex18aeaa44

414100036 has 24 divisors (see below), whose sum is σ = 834253056. Its totient is φ = 176174400.

The previous prime is 414099997. The next prime is 414100061. The reversal of 414100036 is 630001414.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 414099986 and 414100022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50140 + ... + 57811.

It is an arithmetic number, because the mean of its divisors is an integer number (34760544).

Almost surely, 2414100036 is an apocalyptic number.

It is an amenable number.

414100036 is an abundant number, since it is smaller than the sum of its proper divisors (420153020).

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

414100036 is a wasteful number, since it uses less digits than its factorization.

414100036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108099 (or 108097 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 414100036 is about 20349.4480514829. The cubic root of 414100036 is about 745.3640165136.

The spelling of 414100036 in words is "four hundred fourteen million, one hundred thousand, thirty-six".

Divisors: 1 2 4 7 14 28 137 274 548 959 1918 3836 107951 215902 431804 755657 1511314 3022628 14789287 29578574 59157148 103525009 207050018 414100036