Search a number
-
+
146208159300 = 223527471481339
BaseRepresentation
bin1000100000101010101…
…1110111011001000100
3111222101111110001022010
42020022223313121010
54343413242044200
6151100032134220
713364113564050
oct2101253673104
9458344401263
10146208159300
1157008770105
1224404997370
1310a30b10b38
14710dd44c60
153c0ac76150
hex220aaf7644

146208159300 has 144 divisors (see below), whose sum is σ = 493748398080. Its totient is φ = 32707943040.

The previous prime is 146208159287. The next prime is 146208159329. The reversal of 146208159300 is 3951802641.

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 47 ways as a sum of consecutive naturals, for example, 641970 + ... + 839369.

It is an arithmetic number, because the mean of its divisors is an integer number (3428808320).

Almost surely, 2146208159300 is an apocalyptic number.

146208159300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146208159300 is an abundant number, since it is smaller than the sum of its proper divisors (347540238780).

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

146208159300 is a wasteful number, since it uses less digits than its factorization.

146208159300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481410 (or 1481403 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 146208159300 in words is "one hundred forty-six billion, two hundred eight million, one hundred fifty-nine thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 47 50 60 70 75 84 94 100 105 140 141 150 175 188 210 235 282 300 329 350 420 470 525 564 658 700 705 940 987 1050 1175 1316 1410 1645 1974 2100 2350 2820 3290 3525 3948 4700 4935 6580 7050 8225 9870 14100 16450 19740 24675 32900 49350 98700 1481339 2962678 4444017 5925356 7406695 8888034 10369373 14813390 17776068 20738746 22220085 29626780 31108119 37033475 41477492 44440170 51846865 62216238 69622933 74066950 88880340 103693730 111100425 124432476 139245866 148133900 155540595 207387460 208868799 222200850 259234325 278491732 311081190 348114665 417737598 444401700 487360531 518468650 622162380 696229330 777702975 835475196 974721062 1036937300 1044343995 1392458660 1462081593 1555405950 1740573325 1949442124 2088687990 2436802655 2924163186 3110811900 3481146650 4177375980 4873605310 5221719975 5848326372 6962293300 7310407965 9747210620 10443439950 12184013275 14620815930 20886879900 24368026550 29241631860 36552039825 48736053100 73104079650 146208159300