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424130646114 = 232743103375781
BaseRepresentation
bin1100010110000000010…
…10000001000001100010
31111112202101122012110200
412023000022001001202
523422104421133424
6522502023410030
742433232002650
oct6130012010142
91445671565420
10424130646114
11153966768a3a
126a2485b3916
1330cc2a1b276
1416756cc9dd0
15b0750e48c9
hex62c0281062

424130646114 has 96 divisors (see below), whose sum is σ = 1075706696064. Its totient is φ = 118245899520.

The previous prime is 424130646101. The next prime is 424130646131. The reversal of 424130646114 is 411646031424.

424130646114 is a `hidden beast` number, since 4 + 2 + 4 + 1 + 3 + 0 + 646 + 1 + 1 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5558904 + ... + 5634684.

It is an arithmetic number, because the mean of its divisors is an integer number (11205278084).

Almost surely, 2424130646114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424130646114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537853348032).

424130646114 is an abundant number, since it is smaller than the sum of its proper divisors (651576049950).

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

424130646114 is a wasteful number, since it uses less digits than its factorization.

424130646114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76872 (or 76869 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 424130646114 its reverse (411646031424), we get a palindrome (835776677538).

The spelling of 424130646114 in words is "four hundred twenty-four billion, one hundred thirty million, six hundred forty-six thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 43 63 86 126 129 258 301 387 602 774 903 1033 1806 2066 2709 3099 5418 6198 7231 9297 14462 18594 21693 43386 44419 65079 75781 88838 130158 133257 151562 227343 266514 310933 399771 454686 530467 621866 682029 799542 932799 1060934 1364058 1591401 1865598 2798397 3182802 3258583 4774203 5596794 6517166 9548406 9775749 19551498 22810081 29327247 45620162 58654494 68430243 78281773 136860486 156563546 205290729 234845319 410581458 469690638 547972411 704535957 1095944822 1409071914 1643917233 3287834466 3366116239 4931751699 6732232478 9863503398 10098348717 20196697434 23562813673 30295046151 47125627346 60590092302 70688441019 141376882038 212065323057 424130646114