Search a number
-
+
40223166542000 = 2453137309211663
BaseRepresentation
bin10010010010101001011111…
…00011011011000010110000
312021102022000122010222001222
421021110233203123002300
520233004021113321000
6221314133445444212
711321012364254351
oct1111245743330260
9167368018128058
1040223166542000
11118a8604996152
124617629110668
13195a04a317150
149d0b5123bd28
1549b46bdeba85
hex24952f8db0b0

40223166542000 has 160 divisors (see below), whose sum is σ = 104755951023360. Its totient is φ = 14849528601600.

The previous prime is 40223166541969. The next prime is 40223166542047. The reversal of 40223166542000 is 24566132204.

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, 189928169 + ... + 190139831.

It is an arithmetic number, because the mean of its divisors is an integer number (654724693896).

Almost surely, 240223166542000 is an apocalyptic number.

40223166542000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40223166542000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52377975511680).

40223166542000 is an abundant number, since it is smaller than the sum of its proper divisors (64532784481360).

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

40223166542000 is a wasteful number, since it uses less digits than its factorization.

40223166542000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219008 (or 218992 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The spelling of 40223166542000 in words is "forty trillion, two hundred twenty-three billion, one hundred sixty-six million, five hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 650 1000 1040 1300 1625 2000 2600 3250 5200 6500 7309 13000 14618 26000 29236 36545 58472 73090 95017 116944 146180 182725 190034 211663 292360 365450 380068 423326 475085 584720 730900 760136 846652 913625 950170 1058315 1461800 1520272 1693304 1827250 1900340 2116630 2375425 2751619 2923600 3386608 3654500 3800680 4233260 4750850 5291575 5503238 7309000 7601360 8466520 9501700 10583150 11006476 11877125 13758095 14618000 16933040 19003400 21166300 22012952 23754250 26457875 27516190 38006800 42332600 44025904 47508500 52915750 55032380 68790475 84665200 95017000 105831500 110064760 137580950 190034000 211663000 220129520 275161900 343952375 423326000 550323800 687904750 1100647600 1375809500 1547044867 2751619000 3094089734 5503238000 6188179468 7735224335 12376358936 15470448670 20111583271 24752717872 30940897340 38676121675 40223166542 61881794680 77352243350 80446333084 100557916355 123763589360 154704486700 160892666168 193380608375 201115832710 309408973400 321785332336 386761216750 402231665420 502789581775 618817946800 773522433500 804463330840 1005579163550 1547044867000 1608926661680 2011158327100 2513947908875 3094089734000 4022316654200 5027895817750 8044633308400 10055791635500 20111583271000 40223166542000