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354144142341 = 321117434893589
BaseRepresentation
bin1010010011101001010…
…00101100010000000101
31020212002220200102221100
411021310220230100011
521300241400023331
6430405214010313
734405010353623
oct5116450542005
91225086612840
10354144142341
11127212154880
12587761a6999
132751b31a962
14131d7dc8513
15932ac9cae6
hex5274a2c405

354144142341 has 48 divisors (see below), whose sum is σ = 604612831680. Its totient is φ = 197309468160.

The previous prime is 354144142337. The next prime is 354144142343. The reversal of 354144142341 is 143241441453.

It is a happy number.

354144142341 is a `hidden beast` number, since 3 + 5 + 4 + 1 + 4 + 414 + 234 + 1 = 666.

It is not a de Polignac number, because 354144142341 - 22 = 354144142337 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 354144142296 and 354144142305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354144142343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2374426 + ... + 2519163.

It is an arithmetic number, because the mean of its divisors is an integer number (12596100660).

Almost surely, 2354144142341 is an apocalyptic number.

It is an amenable number.

354144142341 is a deficient number, since it is larger than the sum of its proper divisors (250468689339).

354144142341 is a wasteful number, since it uses less digits than its factorization.

354144142341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4893666 (or 4893663 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

Adding to 354144142341 its reverse (143241441453), we get a palindrome (497385583794).

The spelling of 354144142341 in words is "three hundred fifty-four billion, one hundred forty-four million, one hundred forty-two thousand, three hundred forty-one".

Divisors: 1 3 9 11 17 33 43 51 99 129 153 187 387 473 561 731 1419 1683 2193 4257 6579 8041 24123 72369 4893589 14680767 44042301 53829479 83191013 161488437 210424327 249573039 484465311 631272981 748719117 915101143 1893818943 2314667597 2745303429 3577213559 6944002791 8235910287 10731640677 20832008373 32194922031 39349349149 118048047447 354144142341