Search a number
-
+
140022304013000 = 23538315710745323
BaseRepresentation
bin11111110101100101111011…
…101100001111101011001000
3200100210000001010011210111202
4133311211323230033223020
5121323111134311404000
61213445205231243332
741331164140210043
oct3765457354175310
9610700033153452
10140022304013000
1140685142272342
1213855316379548
13601907b536c26
1426811895a7c5a
15112c47c66cdd5
hex7f597bb0fac8

140022304013000 has 128 divisors (see below), whose sum is σ = 333711939899520. Its totient is φ = 54981663609600.

The previous prime is 140022304012963. The next prime is 140022304013029. The reversal of 140022304013000 is 310403220041.

It is a super-2 number, since 2×1400223040130002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7658339 + ... + 18403661.

It is an arithmetic number, because the mean of its divisors is an integer number (2607124530465).

Almost surely, 2140022304013000 is an apocalyptic number.

140022304013000 is a gapful number since it is divisible by the number (10) 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 140022304013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166855969949760).

140022304013000 is an abundant number, since it is smaller than the sum of its proper divisors (193689635886520).

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

140022304013000 is a wasteful number, since it uses less digits than its factorization.

140022304013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10745584 (or 10745570 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 140022304013000 its reverse (310403220041), we get a palindrome (140332707233041).

The spelling of 140022304013000 in words is "one hundred forty trillion, twenty-two billion, three hundred four million, thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 83 100 125 157 166 200 250 314 332 415 500 628 664 785 830 1000 1256 1570 1660 2075 3140 3320 3925 4150 6280 7850 8300 10375 13031 15700 16600 19625 20750 26062 31400 39250 41500 52124 65155 78500 83000 104248 130310 157000 260620 325775 521240 651550 1303100 1628875 2606200 3257750 6515500 10745323 13031000 21490646 42981292 53726615 85962584 107453230 214906460 268633075 429812920 537266150 891861809 1074532300 1343165375 1687015711 1783723618 2149064600 2686330750 3374031422 3567447236 4459309045 5372661500 6748062844 7134894472 8435078555 8918618090 10745323000 13496125688 16870157110 17837236180 22296545225 33740314220 35674472360 42175392775 44593090450 67480628440 84350785550 89186180900 111482726125 140022304013 168701571100 178372361800 210876963875 222965452250 280044608026 337403142200 421753927750 445930904500 560089216052 700111520065 843507855500 891861809000 1120178432104 1400223040130 1687015711000 2800446080260 3500557600325 5600892160520 7001115200650 14002230401300 17502788001625 28004460802600 35005576003250 70011152006500 140022304013000