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212144240042 = 271931151347491
BaseRepresentation
bin1100010110010011001…
…0000011010110101010
3202021120200210222222122
43011210302003112222
511433432411140132
6241242511151242
721220063200440
oct3054462032652
9667520728878
10212144240042
1181a73990519
1235146815522
131700b316c27
14a3a6d28b90
1557b96d7912
hex3164c835aa

212144240042 has 128 divisors (see below), whose sum is σ = 399741419520. Its totient is φ = 82396440000.

The previous prime is 212144239987. The next prime is 212144240051. The reversal of 212144240042 is 240042441212.

It is a happy number.

It is a super-3 number, since 3×2121442400423 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212144239993 and 212144240020.

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 63 ways as a sum of consecutive naturals, for example, 432065417 + ... + 432065907.

It is an arithmetic number, because the mean of its divisors is an integer number (3122979840).

Almost surely, 2212144240042 is an apocalyptic number.

212144240042 is a deficient number, since it is larger than the sum of its proper divisors (187597179478).

212144240042 is a wasteful number, since it uses less digits than its factorization.

212144240042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048.

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 212144240042 its reverse (240042441212), we get a palindrome (452186681254).

The spelling of 212144240042 in words is "two hundred twelve billion, one hundred forty-four million, two hundred forty thousand, forty-two".

Divisors: 1 2 7 14 19 31 38 62 133 151 217 266 302 347 434 491 589 694 982 1057 1178 2114 2429 2869 3437 4123 4681 4858 5738 6593 6874 8246 9329 9362 10757 13186 15221 18658 20083 21514 30442 32767 40166 46151 52397 65303 65534 74141 75299 88939 92302 104794 106547 130606 148282 150598 170377 177878 204383 213094 289199 340754 366779 408766 518987 578398 622573 733558 995543 1037974 1192639 1245146 1408679 1430681 1624307 1991086 2024393 2298371 2385278 2817358 2861362 3237163 3248614 4048786 4596742 5281687 6474326 6968801 9860753 10563374 11370149 13937602 16088597 19721506 22660141 22740298 25726927 30861833 32177194 36971809 43669049 45320282 51453854 61723666 73943618 87338098 100352053 180088489 200704106 216032831 305683343 360176978 432065662 488811613 611366686 702464371 797534737 977623226 1404928742 1595069474 3421681291 5582743159 6843362582 11165486318 15153160003 30306320006 106072120021 212144240042