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442287386155068 = 223617971910637449
BaseRepresentation
bin110010010010000100000111…
…0100010100101100000111100
32011000000021001101210021212120
41210210020032202211200330
5430432414031323430233
64204400004211002540
7162106131511351506
oct14444101642454074
92130007041707776
10442287386155068
11118a21033092413
1241732312899450
1315ca36a1b0b3bc
147b30b76388d76
15361ed9ae114b3
hex192420e8a583c

442287386155068 has 96 divisors (see below), whose sum is σ = 1063676920320000. Its totient is φ = 142977513070080.

The previous prime is 442287386155067. The next prime is 442287386155073. The reversal of 442287386155068 is 860551683782244.

It is a junction number, because it is equal to n+sod(n) for n = 442287386154993 and 442287386155011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442287386155061) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 36259608 + ... + 46897056.

It is an arithmetic number, because the mean of its divisors is an integer number (11079967920000).

Almost surely, 2442287386155068 is an apocalyptic number.

It is an amenable number.

442287386155068 is an abundant number, since it is smaller than the sum of its proper divisors (621389534164932).

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

442287386155068 is a wasteful number, since it uses less digits than its factorization.

442287386155068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10638315 (or 10638313 counting only the distinct ones).

The product of its (nonzero) digits is 619315200, while the sum is 69.

The spelling of 442287386155068 in words is "four hundred forty-two trillion, two hundred eighty-seven billion, three hundred eighty-six million, one hundred fifty-five thousand, sixty-eight".

Divisors: 1 2 3 4 6 12 61 79 122 158 183 237 244 316 366 474 719 732 948 1438 2157 2876 4314 4819 8628 9638 14457 19276 28914 43859 56801 57828 87718 113602 131577 170403 175436 227204 263154 340806 526308 681612 3464861 6929722 10394583 10637449 13859444 20789166 21274898 31912347 41578332 42549796 63824694 127649388 648884389 840358471 1297768778 1680716942 1946653167 2521075413 2595537556 3361433884 3893306334 5042150826 7648325831 7786612668 10084301652 15296651662 22944977493 30593303324 45889954986 51261866731 91779909972 102523733462 153785600193 205047466924 307571200386 466547875691 604217740649 615142400772 933095751382 1208435481298 1399643627073 1812653221947 1866191502764 2416870962596 2799287254146 3625306443894 5598574508292 7250612887788 36857282179589 73714564359178 110571846538767 147429128718356 221143693077534 442287386155068