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10414231434 = 232857675109
BaseRepresentation
bin10011011001011110…
…01000111110001010
3222212210012202211100
421230233020332022
5132312020401214
64441221042230
7516034335525
oct115457107612
928783182740
1010414231434
114464620242
122027856376
13c9c772629
1470b18dbbc
1540e433309
hex26cbc8f8a

10414231434 has 24 divisors (see below), whose sum is σ = 22590530820. Its totient is φ = 3467354688.

The previous prime is 10414231427. The next prime is 10414231439. The reversal of 10414231434 is 43413241401.

10414231434 is a `hidden beast` number, since 10 + 414 + 231 + 4 + 3 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10291088025 + 123143409 = 101445^2 + 11097^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10414231398 and 10414231407.

It is not an unprimeable number, because it can be changed into a prime (10414231439) 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, 322129 + ... + 352980.

Almost surely, 210414231434 is an apocalyptic number.

10414231434 is an abundant number, since it is smaller than the sum of its proper divisors (12176299386).

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

10414231434 is a wasteful number, since it uses less digits than its factorization.

10414231434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675974 (or 675971 counting only the distinct ones).

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

Adding to 10414231434 its reverse (43413241401), we get a palindrome (53827472835).

The spelling of 10414231434 in words is "ten billion, four hundred fourteen million, two hundred thirty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 857 1714 2571 5142 7713 15426 675109 1350218 2025327 4050654 6075981 12151962 578568413 1157136826 1735705239 3471410478 5207115717 10414231434