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39942602240256 = 2834438892
BaseRepresentation
bin10010001010011110111001…
…00111100011000100000000
312020102110211121220201010000
421011033130213203010000
520213404422133142011
6220541213403040000
711261520630120222
oct1105173447430400
9166373747821100
1039942602240256
11117aa6207326a1
124591188810000
131939756cb6111
149c133748c412
15493eeab8d356
hex2453dc9e3100

39942602240256 has 135 divisors (see below), whose sum is σ = 119104326374341. Its totient is φ = 13313897385984.

The previous prime is 39942602240171. The next prime is 39942602240263. The reversal of 39942602240256 is 65204220624993.

The square root of 39942602240256 is 6320016.

It is a perfect power (a square), and thus also a powerful number.

39942602240256 is a `hidden beast` number, since 3 + 9 + 9 + 4 + 2 + 602 + 2 + 4 + 0 + 25 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 37699796480256 + 2242805760000 = 6140016^2 + 1497600^2 .

It is a super-2 number, since 2×399426022402562 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

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 14 ways as a sum of consecutive naturals, for example, 910060360 + ... + 910104248.

Almost surely, 239942602240256 is an apocalyptic number.

39942602240256 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

39942602240256 is the 6320016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39942602240256

39942602240256 is an abundant number, since it is smaller than the sum of its proper divisors (79161724134085).

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

39942602240256 is an frugal number, since it uses more digits than its factorization.

39942602240256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87806 (or 43894 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 39942602240256 in words is "thirty-nine trillion, nine hundred forty-two billion, six hundred two million, two hundred forty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 20736 43889 87778 131667 175556 263334 351112 395001 526668 702224 790002 1053336 1185003 1404448 1580004 2106672 2370006 2808896 3160008 3555009 4213344 4740012 5617792 6320016 7110018 8426688 9480024 11235584 12640032 14220036 16853376 18960048 25280064 28440072 33706752 37920096 50560128 56880144 75840192 101120256 113760288 151680384 227520576 303360768 455041152 910082304 1926244321 3852488642 5778732963 7704977284 11557465926 15409954568 17336198889 23114931852 30819909136 34672397778 46229863704 52008596667 61639818272 69344795556 92459727408 104017193334 123279636544 138689591112 156025790001 184919454816 208034386668 246559273088 277379182224 312051580002 369838909632 416068773336 493118546176 554758364448 624103160004 739677819264 832137546672 1109516728896 1248206320008 1479355638528 1664275093344 2219033457792 2496412640016 3328550186688 4438066915584 4992825280032 6657100373376 9985650560064 13314200746752 19971301120128 39942602240256