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414103424340 = 22356901723739
BaseRepresentation
bin1100000011010100111…
…11001100110101010100
31110120212120122120002110
412001222133030311110
523241040434034330
6514123025311020
741626604013144
oct6015237146524
91416776576073
10414103424340
1114a6906508a1
126830a495470
13300854bc548
14160852bc924
15ab89b5adb0
hex606a7ccd54

414103424340 has 24 divisors (see below), whose sum is σ = 1159489588320. Its totient is φ = 110427579808.

The previous prime is 414103424333. The next prime is 414103424401. The reversal of 414103424340 is 43424301414.

It is a super-2 number, since 2×4141034243402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 414103424298 and 414103424307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3450861810 + ... + 3450861929.

It is an arithmetic number, because the mean of its divisors is an integer number (48312066180).

Almost surely, 2414103424340 is an apocalyptic number.

It is an amenable number.

414103424340 is an abundant number, since it is smaller than the sum of its proper divisors (745386163980).

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

414103424340 is a wasteful number, since it uses less digits than its factorization.

414103424340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6901723751 (or 6901723749 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 414103424340 its reverse (43424301414), we get a palindrome (457527725754).

The spelling of 414103424340 in words is "four hundred fourteen billion, one hundred three million, four hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 6901723739 13803447478 20705171217 27606894956 34508618695 41410342434 69017237390 82820684868 103525856085 138034474780 207051712170 414103424340