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6142329914112 = 28327380848829
BaseRepresentation
bin101100101100001111101…
…1001001000001100000000
3210202012102112101022221200
41121120133121020030000
51301113442424222422
621021425235021200
71202524442552040
oct131303731101400
923665375338850
106142329914112
111a58a47119547
12832511a3a800
133572b083baa2
1417340ca35720
15a9b994d92ac
hex5961f648300

6142329914112 has 108 divisors (see below), whose sum is σ = 20239830221520. Its totient is φ = 1754951399424.

The previous prime is 6142329914107. The next prime is 6142329914141. The reversal of 6142329914112 is 2114199232416.

6142329914112 is a `hidden beast` number, since 6 + 1 + 423 + 29 + 91 + 4 + 112 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 190408287 + ... + 190440542.

Almost surely, 26142329914112 is an apocalyptic number.

It is an amenable number.

6142329914112 is an abundant number, since it is smaller than the sum of its proper divisors (14097500307408).

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

6142329914112 is a wasteful number, since it uses less digits than its factorization.

6142329914112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380848858 (or 380848841 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The spelling of 6142329914112 in words is "six trillion, one hundred forty-two billion, three hundred twenty-nine million, nine hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1344 1792 2016 2304 2688 4032 5376 8064 16128 380848829 761697658 1142546487 1523395316 2285092974 2665941803 3046790632 3427639461 4570185948 5331883606 6093581264 6855278922 7997825409 9140371896 10663767212 12187162528 13710557844 15995650818 18280743792 21327534424 23993476227 24374325056 27421115688 31991301636 36561487584 42655068848 47986952454 48748650112 54842231376 63982603272 73122975168 85310137696 95973904908 97497300224 109684462752 127965206544 146245950336 170620275392 191947809816 219368925504 255930413088 292491900672 341240550784 383895619632 438737851008 511860826176 682481101568 767791239264 877475702016 1023721652352 1535582478528 2047443304704 3071164957056 6142329914112