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10414041230034 = 2331314834816567
BaseRepresentation
bin1001011110001011010100…
…1110100110101011010010
31100212120110102212000101000
42113202311032212223102
52331110424023330114
634052051113322430
72123250435624111
oct227426516465322
940776412760330
1010414041230034
11335562a865362
121202389406416
135a70697b00b0
1428008405bc78
15130d5e3b5e09
hex978b53a6ad2

10414041230034 has 32 divisors (see below), whose sum is σ = 24922491834240. Its totient is φ = 3204320378256.

The previous prime is 10414041230003. The next prime is 10414041230083. The reversal of 10414041230034 is 43003214041401.

10414041230034 is a `hidden beast` number, since 10 + 414 + 0 + 4 + 1 + 230 + 0 + 3 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7417407582 + ... + 7417408985.

It is an arithmetic number, because the mean of its divisors is an integer number (778827869820).

Almost surely, 210414041230034 is an apocalyptic number.

10414041230034 is an abundant number, since it is smaller than the sum of its proper divisors (14508450604206).

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

10414041230034 is a wasteful number, since it uses less digits than its factorization.

10414041230034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14834816591 (or 14834816585 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10414041230034 its reverse (43003214041401), we get a palindrome (53417255271435).

The spelling of 10414041230034 in words is "ten trillion, four hundred fourteen billion, forty-one million, two hundred thirty thousand, thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 14834816567 29669633134 44504449701 89008899402 133513349103 192852615371 267026698206 385705230742 400540047309 578557846113 801080094618 1157115692226 1735673538339 3471347076678 5207020615017 10414041230034