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414120140433 = 33283478911317
BaseRepresentation
bin1100000011010110111…
…10111101111010010001
31110120220202002211021000
412001223132331322101
523241104223443213
6514124423452213
741630166054126
oct6015336757221
91416822084230
10414120140433
1114a69a02894a
1268313bb7069
1330088ac301c
14160875d074d
15ab8b35dc73
hex606b7bde91

414120140433 has 32 divisors (see below), whose sum is σ = 615862179200. Its totient is φ = 275022796608.

The previous prime is 414120140411. The next prime is 414120140453. The reversal of 414120140433 is 334041021414.

414120140433 is a `hidden beast` number, since 414 + 1 + 201 + 4 + 0 + 43 + 3 = 666.

It is not a de Polignac number, because 414120140433 - 213 = 414120132241 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 414120140397 and 414120140406.

It is not an unprimeable number, because it can be changed into a prime (414120140453) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36587091 + ... + 36598407.

It is an arithmetic number, because the mean of its divisors is an integer number (19245693100).

Almost surely, 2414120140433 is an apocalyptic number.

It is an amenable number.

414120140433 is a deficient number, since it is larger than the sum of its proper divisors (201742038767).

414120140433 is a wasteful number, since it uses less digits than its factorization.

414120140433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16398 (or 16392 counting only the distinct ones).

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

Adding to 414120140433 its reverse (334041021414), we get a palindrome (748161161847).

The spelling of 414120140433 in words is "four hundred fourteen billion, one hundred twenty million, one hundred forty thousand, four hundred thirty-three".

Divisors: 1 3 9 27 283 849 2547 4789 7641 11317 14367 33951 43101 101853 129303 305559 1355287 3202711 4065861 9608133 12197583 28824399 36592749 54197113 86473197 162591339 487774017 1463322051 15337782979 46013348937 138040046811 414120140433