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610240630041 = 3272371992
BaseRepresentation
bin10001110000101010010…
…11010000110100011001
32011100010201101221222100
420320111023100310121
534444233100130131
61144201330314013
762042221525200
oct10702513206431
92140121357870
10610240630041
1121588aa21509
129a328428909
1345712459503
1421770364237
1510d18e0d7e6
hex8e152d0d19

610240630041 has 27 divisors (see below), whose sum is σ = 1025397875541. Its totient is φ = 348699557304.

The previous prime is 610240630039. The next prime is 610240630079. The reversal of 610240630041 is 140036042016.

The square root of 610240630041 is 781179.

It is a perfect power (a square), and thus also a powerful number.

610240630041 is a `hidden beast` number, since 6 + 1 + 0 + 24 + 0 + 630 + 0 + 4 + 1 = 666.

It is not a de Polignac number, because 610240630041 - 21 = 610240630039 is a prime.

It is a super-4 number, since 4×6102406300414 (a number of 48 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 610240629987 and 610240630014.

It is not an unprimeable number, because it can be changed into a prime (610240632041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16386160 + ... + 16423358.

Almost surely, 2610240630041 is an apocalyptic number.

610240630041 is the 781179-th square number.

610240630041 is the 390590-th centered octagonal number.

It is an amenable number.

610240630041 is a deficient number, since it is larger than the sum of its proper divisors (415157245500).

610240630041 is an frugal number, since it uses more digits than its factorization.

610240630041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74418 (or 37209 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 610240630041 its reverse (140036042016), we get a palindrome (750276672057).

The spelling of 610240630041 in words is "six hundred ten billion, two hundred forty million, six hundred thirty thousand, forty-one".

Divisors: 1 3 7 9 21 49 63 147 441 37199 111597 260393 334791 781179 1822751 2343537 5468253 16404759 1383765601 4151296803 9686359207 12453890409 29059077621 67804514449 87177232863 203413543347 610240630041