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414413140030340 = 2251110134976170223
BaseRepresentation
bin101111000111010000001010…
…0000000000111001110000100
32000100022111202021001010212112
41132032200110000013032010
5413304221102321432330
64025214433542440152
7153201234635526323
oct13616402400071604
92010274667033775
10414413140030340
11110054697900990
123a590062133058
1314a30cb71ccac9
1474499bb0560ba
1532d9c842d7795
hex178e814007384

414413140030340 has 192 divisors, whose sum is σ = 962807107046400. Its totient is φ = 148578516480000.

The previous prime is 414413140030339. The next prime is 414413140030367. The reversal of 414413140030340 is 43030041314414.

It is a super-2 number, since 2×4144131400303402 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 414413140030297 and 414413140030306.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5901352469 + ... + 5901422691.

It is an arithmetic number, because the mean of its divisors is an integer number (5014620349200).

Almost surely, 2414413140030340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414413140030340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481403553523200).

414413140030340 is an abundant number, since it is smaller than the sum of its proper divisors (548393967016060).

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

414413140030340 is a wasteful number, since it uses less digits than its factorization.

414413140030340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71454 (or 71452 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 414413140030340 its reverse (43030041314414), we get a palindrome (457443181344754).

The spelling of 414413140030340 in words is "four hundred fourteen trillion, four hundred thirteen billion, one hundred forty million, thirty thousand, three hundred forty".