Search a number
-
+
354142089117 = 3414333051029
BaseRepresentation
bin1010010011101001000…
…00110110111110011101
31020212002202211010110000
411021310200312332131
521300240333322432
6430405102004513
734404654042555
oct5116440667635
91225082733400
10354142089117
11127210a821a3
1258775576739
132751aa7c22b
14131d7a12165
15932a9e457c
hex5274836f9d

354142089117 has 20 divisors (see below), whose sum is σ = 529396419420. Its totient is φ = 235929893184.

The previous prime is 354142089113. The next prime is 354142089121. The reversal of 354142089117 is 711980241453.

354142089117 is a `hidden beast` number, since 3 + 541 + 4 + 2 + 0 + 8 + 91 + 17 = 666.

It is an interprime number because it is at equal distance from previous prime (354142089113) and next prime (354142089121).

It can be written as a sum of positive squares in 2 ways, for example, as 317206630521 + 36935458596 = 563211^2 + 192186^2 .

It is not a de Polignac number, because 354142089117 - 22 = 354142089113 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354142089113) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1409442 + ... + 1641587.

It is an arithmetic number, because the mean of its divisors is an integer number (26469820971).

Almost surely, 2354142089117 is an apocalyptic number.

It is an amenable number.

354142089117 is a deficient number, since it is larger than the sum of its proper divisors (175254330303).

354142089117 is a wasteful number, since it uses less digits than its factorization.

354142089117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3052474 (or 3052465 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 354142089117 in words is "three hundred fifty-four billion, one hundred forty-two million, eighty-nine thousand, one hundred seventeen".

Divisors: 1 3 9 27 81 1433 4299 12897 38691 116073 3051029 9153087 27459261 82377783 247133349 4372124557 13116373671 39349121013 118047363039 354142089117