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242033152200240 = 24354173336943357
BaseRepresentation
bin110111000010000010111100…
…000011111000111000110000
31011201222010212112010012001010
4313002002330003320320300
5223210432343430401430
62214432254541310520
7101660214066053412
oct6702027403707060
91151863775105033
10242033152200240
11701347576979a5
122318b790b65440
13a50882255682b
1443aa6778dc9b2
151ceac874bccb0
hexdc20bc0f8e30

242033152200240 has 160 divisors (see below), whose sum is σ = 779131647758016. Its totient is φ = 62105399377920.

The previous prime is 242033152200239. The next prime is 242033152200251. The reversal of 242033152200240 is 42002251330242.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 242033152200198 and 242033152200207.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167753359 + ... + 169189998.

Almost surely, 2242033152200240 is an apocalyptic number.

242033152200240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242033152200240 is an abundant number, since it is smaller than the sum of its proper divisors (537098495557776).

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

242033152200240 is a wasteful number, since it uses less digits than its factorization.

242033152200240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336943487 (or 336943481 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The spelling of 242033152200240 in words is "two hundred forty-two trillion, thirty-three billion, one hundred fifty-two million, two hundred thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 73 80 82 120 123 146 164 205 219 240 246 292 328 365 410 438 492 584 615 656 730 820 876 984 1095 1168 1230 1460 1640 1752 1968 2190 2460 2920 2993 3280 3504 4380 4920 5840 5986 8760 8979 9840 11972 14965 17520 17958 23944 29930 35916 44895 47888 59860 71832 89790 119720 143664 179580 239440 359160 718320 336943357 673886714 1010830071 1347773428 1684716785 2021660142 2695546856 3369433570 4043320284 5054150355 5391093712 6738867140 8086640568 10108300710 13477734280 13814677637 16173281136 20216601420 24596865061 26955468560 27629355274 40433202840 41444032911 49193730122 55258710548 69073388185 73790595183 80866405680 82888065822 98387460244 110517421096 122984325305 138146776370 147581190366 165776131644 196774920488 207220164555 221034842192 245968650610 276293552740 295162380732 331552263288 368952975915 393549840976 414440329110 491937301220 552587105480 590324761464 663104526576 737905951830 828880658220 983874602440 1008471467501 1105174210960 1180649522928 1475811903660 1657761316440 1967749204880 2016942935002 2951623807320 3025414402503 3315522632880 4033885870004 5042357337505 5903247614640 6050828805006 8067771740008 10084714675010 12101657610012 15127072012515 16135543480016 20169429350020 24203315220024 30254144025030 40338858700040 48406630440048 60508288050060 80677717400080 121016576100120 242033152200240