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414014418 = 23225399059
BaseRepresentation
bin11000101011010…
…101101111010010
31001212001010000100
4120223111233102
51321441430133
6105025433230
713155031056
oct3053255722
91055033010
10414014418
111a2778184
12b679b816
1367a0a45c
143cdb1c66
1526530e13
hex18ad5bd2

414014418 has 24 divisors (see below), whose sum is σ = 897483600. Its totient is φ = 137935224.

The previous prime is 414014417. The next prime is 414014437. The reversal of 414014418 is 814410414.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 414014391 and 414014400.

It is not an unprimeable number, because it can be changed into a prime (414014417) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41173 + ... + 50231.

It is an arithmetic number, because the mean of its divisors is an integer number (37395150).

Almost surely, 2414014418 is an apocalyptic number.

414014418 is an abundant number, since it is smaller than the sum of its proper divisors (483469182).

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

414014418 is a wasteful number, since it uses less digits than its factorization.

414014418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11606 (or 11603 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 414014418 is about 20347.3442493118. The cubic root of 414014418 is about 745.3126432789.

The spelling of 414014418 in words is "four hundred fourteen million, fourteen thousand, four hundred eighteen".

Divisors: 1 2 3 6 9 18 2539 5078 7617 9059 15234 18118 22851 27177 45702 54354 81531 163062 23000801 46001602 69002403 138004806 207007209 414014418