Search a number
-
+
444322004033340 = 223258081305464123
BaseRepresentation
bin110010100000110111100011…
…1001101110101111100111100
32011021012202202102021120022100
41211001233013031311330330
5431214232431013031330
64212554413305145100
7162406130316102426
oct14501570715657474
92137182672246270
10444322004033340
111196359a390a554
1241a006b818b190
13160c05013745c4
147ba142a6b5816
153657c7d13d060
hex1941bc7375f3c

444322004033340 has 72 divisors (see below), whose sum is σ = 1347943533391728. Its totient is φ = 118471205076480.

The previous prime is 444322004033317. The next prime is 444322004033377. The reversal of 444322004033340 is 43330400223444.

444322004033340 is a `hidden beast` number, since 4 + 4 + 4 + 3 + 2 + 200 + 403 + 3 + 3 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 444322004033295 and 444322004033304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151277482 + ... + 154186641.

It is an arithmetic number, because the mean of its divisors is an integer number (18721437963774).

Almost surely, 2444322004033340 is an apocalyptic number.

It is an amenable number.

444322004033340 is an abundant number, since it is smaller than the sum of its proper divisors (903621529358388).

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

444322004033340 is a wasteful number, since it uses less digits than its factorization.

444322004033340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305472219 (or 305472214 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

Adding to 444322004033340 its reverse (43330400223444), we get a palindrome (487652404256784).

The spelling of 444322004033340 in words is "four hundred forty-four trillion, three hundred twenty-two billion, four million, thirty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 8081 16162 24243 32324 40405 48486 72729 80810 96972 121215 145458 161620 242430 290916 363645 484860 727290 1454580 305464123 610928246 916392369 1221856492 1527320615 1832784738 2749177107 3054641230 3665569476 4581961845 5498354214 6109282460 9163923690 10996708428 13745885535 18327847380 27491771070 54983542140 2468455577963 4936911155926 7405366733889 9873822311852 12342277889815 14810733467778 22216100201667 24684555779630 29621466935556 37026833669445 44432200403334 49369111559260 74053667338890 88864400806668 111080501008335 148107334677780 222161002016670 444322004033340