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142424405643610 = 25173894445348449
BaseRepresentation
bin100000011000100011000100…
…000110110001000101011010
3200200021122021201011220200101
4200120203010012301011122
5122131440140321043420
61222524511345530014
741666552354164066
oct4030430406610532
9620248251156611
10142424405643610
114142093aa97722
1213b8297934390a
13616174394872c
1427255413acaa6
15116ebbb7ce60a
hex8188c41b115a

142424405643610 has 64 divisors (see below), whose sum is σ = 272153700468000. Its totient is φ = 53478455836672.

The previous prime is 142424405643557. The next prime is 142424405643617. The reversal of 142424405643610 is 16346504424241.

It can be written as a sum of positive squares in 16 ways, for example, as 34966655654121 + 107457749989489 = 5913261^2 + 10366183^2 .

It is a super-2 number, since 2×1424244056436102 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (142424405643617) 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 31 ways as a sum of consecutive naturals, for example, 2939652666 + ... + 2939701114.

Almost surely, 2142424405643610 is an apocalyptic number.

142424405643610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

142424405643610 is a deficient number, since it is larger than the sum of its proper divisors (129729294824390).

142424405643610 is a wasteful number, since it uses less digits than its factorization.

142424405643610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93315.

The product of its (nonzero) digits is 2211840, while the sum is 46.

The spelling of 142424405643610 in words is "one hundred forty-two trillion, four hundred twenty-four billion, four hundred five million, six hundred forty-three thousand, six hundred ten".

Divisors: 1 2 5 10 17 34 85 170 389 778 1945 3890 6613 13226 33065 44453 48449 66130 88906 96898 222265 242245 444530 484490 755701 823633 1511402 1647266 3778505 4118165 7557010 8236330 17292217 18846661 34584434 37693322 86461085 94233305 172922170 188466610 293967689 320393237 587935378 640786474 1469838445 1601966185 2153703397 2939676890 3203932370 4307406794 10768516985 21537033970 36612957749 73225915498 183064788745 366129577490 837790621433 1675581242866 4188953107165 8377906214330 14242440564361 28484881128722 71212202821805 142424405643610