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140133204450 = 232523113972269
BaseRepresentation
bin1000001010000010010…
…1110000000111100010
3111101201010100100220100
42002200211300013202
54243443100020300
6144213140523230
713060426404321
oct2024045600742
9441633310810
10140133204450
11544805a4668
12231aa3b0516
13102a33601b5
146ad51c40b8
1539a2784700
hex20a09701e2

140133204450 has 144 divisors (see below), whose sum is σ = 391437446400. Its totient is φ = 35902742400.

The previous prime is 140133204439. The next prime is 140133204469. The reversal of 140133204450 is 54402331041.

It is a happy number.

140133204450 is a `hidden beast` number, since 1 + 4 + 0 + 1 + 3 + 3 + 204 + 450 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1902916 + ... + 1975184.

It is an arithmetic number, because the mean of its divisors is an integer number (2718315600).

Almost surely, 2140133204450 is an apocalyptic number.

140133204450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 140133204450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195718723200).

140133204450 is an abundant number, since it is smaller than the sum of its proper divisors (251304241950).

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

140133204450 is a wasteful number, since it uses less digits than its factorization.

140133204450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72457 (or 72449 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 140133204450 its reverse (54402331041), we get a palindrome (194535535491).

The spelling of 140133204450 in words is "one hundred forty billion, one hundred thirty-three million, two hundred four thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 31 45 50 62 75 90 93 139 150 155 186 225 278 279 310 417 450 465 558 695 775 834 930 1251 1390 1395 1550 2085 2325 2502 2790 3475 4170 4309 4650 6255 6950 6975 8618 10425 12510 12927 13950 20850 21545 25854 31275 38781 43090 62550 64635 72269 77562 107725 129270 144538 193905 215450 216807 323175 361345 387810 433614 646350 650421 722690 969525 1084035 1300842 1806725 1939050 2168070 2240339 3252105 3613450 4480678 5420175 6504210 6721017 10045391 10840350 11201695 13442034 16260525 20090782 20163051 22403390 30136173 32521050 33605085 40326102 50226955 56008475 60272346 67210170 90408519 100453910 100815255 112016950 150680865 168025425 180817038 201630510 251134775 301361730 311407121 336050850 452042595 502269550 504076275 622814242 753404325 904085190 934221363 1008152550 1506808650 1557035605 1868442726 2260212975 2802664089 3114071210 4520425950 4671106815 5605328178 7785178025 9342213630 14013320445 15570356050 23355534075 28026640890 46711068150 70066602225 140133204450