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10414230024330 = 2325112956311297
BaseRepresentation
bin1001011110001100000001…
…1110110011000010001010
31100212120221121002202110100
42113203000132303002022
52331111320341234310
634052121540030230
72123255220430566
oct227430036630212
940776847082410
1010414230024330
113355717394300
121202420692376
135a7099942ab2
142800a11646a6
15130d70c59ec0
hex978c07b308a

10414230024330 has 72 divisors (see below), whose sum is σ = 29762320216356. Its totient is φ = 2524661821440.

The previous prime is 10414230024271. The next prime is 10414230024343. The reversal of 10414230024330 is 3342003241401.

10414230024330 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 4 + 2 + 300 + 24 + 330 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9909293297409 + 504936726921 = 3147903^2 + 710589^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10414230024294 and 10414230024303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 478144759 + ... + 478166538.

Almost surely, 210414230024330 is an apocalyptic number.

10414230024330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10414230024330 is an abundant number, since it is smaller than the sum of its proper divisors (19348090192026).

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

10414230024330 is a wasteful number, since it uses less digits than its factorization.

10414230024330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956311332 (or 956311318 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 10414230024330 its reverse (3342003241401), we get a palindrome (13756233265731).

The spelling of 10414230024330 in words is "ten trillion, four hundred fourteen billion, two hundred thirty million, twenty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 165 198 242 330 363 495 605 726 990 1089 1210 1815 2178 3630 5445 10890 956311297 1912622594 2868933891 4781556485 5737867782 8606801673 9563112970 10519424267 14344669455 17213603346 21038848534 28689338910 31558272801 43034008365 52597121335 63116545602 86068016730 94674818403 105194242670 115713666937 157791364005 189349636806 231427333874 315582728010 347141000811 473374092015 578568334685 694282001622 946748184030 1041423002433 1157136669370 1735705004055 2082846004866 3471410008110 5207115012165 10414230024330