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444756211486140 = 2235174310140360499
BaseRepresentation
bin110010100100000001101111…
…1111111110100110110111100
32011022202021112002012120212110
41211020003133333310312330
5431243341210120024030
64213530103301534020
7162452401350413511
oct14510033777646674
92138667462176773
10444756211486140
111197930606824a4
1241a70897414310
131612243b962a78
147bb845b9d9308
1536641e2c131b0
hex19480dfff4dbc

444756211486140 has 96 divisors (see below), whose sum is σ = 1349235806688000. Its totient is φ = 109029156074496.

The previous prime is 444756211486109. The next prime is 444756211486163. The reversal of 444756211486140 is 41684112657444.

It is a congruent number.

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, 5070136390 + ... + 5070224109.

It is an arithmetic number, because the mean of its divisors is an integer number (14054539653000).

Almost surely, 2444756211486140 is an apocalyptic number.

It is an amenable number.

444756211486140 is an abundant number, since it is smaller than the sum of its proper divisors (904479595201860).

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

444756211486140 is a wasteful number, since it uses less digits than its factorization.

444756211486140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10140360571 (or 10140360569 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 57.

The spelling of 444756211486140 in words is "four hundred forty-four trillion, seven hundred fifty-six billion, two hundred eleven million, four hundred eighty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 43 51 60 68 85 86 102 129 170 172 204 215 255 258 340 430 510 516 645 731 860 1020 1290 1462 2193 2580 2924 3655 4386 7310 8772 10965 14620 21930 43860 10140360499 20280720998 30421081497 40561441996 50701802495 60842162994 101403604990 121684325988 152105407485 172386128483 202807209980 304210814970 344772256966 436035501457 517158385449 608421629940 689544513932 861930642415 872071002914 1034316770898 1308106504371 1723861284830 1744142005828 2068633541796 2180177507285 2585791927245 2616213008742 3447722569660 4360355014570 5171583854490 5232426017484 6540532521855 7412603524769 8720710029140 10343167708980 13081065043710 14825207049538 22237810574307 26162130087420 29650414099076 37063017623845 44475621148614 74126035247690 88951242297228 111189052871535 148252070495380 222378105743070 444756211486140