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414041022 = 23231742009
BaseRepresentation
bin11000101011011…
…100001110111110
31001212002110111200
4120223130032332
51321443303042
6105030200330
713155201453
oct3053341676
91055073450
10414041022
111a279616a
12b67b30a6
1367a195b5
143cdbb82a
1526538c4c
hex18adc3be

414041022 has 24 divisors (see below), whose sum is σ = 926028480. Its totient is φ = 133561440.

The previous prime is 414041003. The next prime is 414041081. The reversal of 414041022 is 220140414.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 414040986 and 414041004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 370447 + ... + 371562.

It is an arithmetic number, because the mean of its divisors is an integer number (38584520).

Almost surely, 2414041022 is an apocalyptic number.

414041022 is an abundant number, since it is smaller than the sum of its proper divisors (511987458).

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

414041022 is a wasteful number, since it uses less digits than its factorization.

414041022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742048 (or 742045 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 414041022 is about 20347.9979850599. The cubic root of 414041022 is about 745.3286071938.

Adding to 414041022 its reverse (220140414), we get a palindrome (634181436).

The spelling of 414041022 in words is "four hundred fourteen million, forty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 742009 1484018 2226027 4452054 6678081 13356162 23002279 46004558 69006837 138013674 207020511 414041022