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434141044030242 = 23446356324234243
BaseRepresentation
bin110001010110110010101011…
…0101101100011101100100010
32002221011110220210212200120000
41202231211112231203230202
5423400431324232431432
64135201350423200430
7160305440533660143
oct14255452655435442
92087143823780500
10434141044030242
1111637020135986a
12408375392a6116
131583242b72c993
14792c778091aca
15352d0115b157c
hex18ad956b63b22

434141044030242 has 160 divisors (see below), whose sum is σ = 977263548991488. Its totient is φ = 144051191200224.

The previous prime is 434141044030229. The next prime is 434141044030303. The reversal of 434141044030242 is 242030440141434.

434141044030242 is a `hidden beast` number, since 4 + 3 + 4 + 1 + 4 + 1 + 0 + 4 + 403 + 0 + 242 = 666.

It is a super-2 number, since 2×4341410440302422 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 434141044030197 and 434141044030206.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 102319357773 + ... + 102319362015.

Almost surely, 2434141044030242 is an apocalyptic number.

434141044030242 is an abundant number, since it is smaller than the sum of its proper divisors (543122504961246).

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

434141044030242 is a wasteful number, since it uses less digits than its factorization.

434141044030242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7706 (or 7697 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 434141044030242 its reverse (242030440141434), we get a palindrome (676171484171676).

The spelling of 434141044030242 in words is "four hundred thirty-four trillion, one hundred forty-one billion, forty-four million, thirty thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 463 563 926 1126 1389 1689 2423 2778 3378 4167 4243 4846 5067 7269 8334 8486 10134 12501 12729 14538 15201 21807 25002 25458 30402 37503 38187 43614 45603 65421 75006 76374 91206 114561 130842 196263 229122 260669 343683 392526 521338 687366 782007 1121849 1364149 1564014 1964509 2243698 2346021 2388809 2728298 3365547 3929018 4092447 4692042 4777618 5893527 6731094 7038063 7166427 8184894 10096641 10280789 11787054 12277341 14076126 14332854 17680581 20193282 20561578 21114189 21499281 24554682 30289923 30842367 35361162 36832023 42228378 42998562 53041743 60579846 61684734 64497843 73664046 90869769 92527101 106083486 110496069 128995686 159125229 181739538 185054202 193493529 220992138 277581303 318250458 386987058 555162606 631600987 832743909 1106018567 1263201974 1665487818 1894802961 2212037134 3318055701 3789605922 4760005307 5684408883 5788084207 6636111402 9520010614 9954167103 11368817766 11576168414 14280015921 17053226649 17364252621 19908334206 28560031842 29862501309 34106453298 34728505242 42840047763 51159679947 52092757863 59725002618 85680095526 89587503927 102319359894 104185515726 128520143289 156278273589 179175007854 257040286578 312556547178 385560429867 468834820767 771120859734 937669641534 2679882987841 5359765975682 8039648963523 16079297927046 24118946890569 48237893781138 72356840671707 144713681343414 217070522015121 434141044030242