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445054443444336 = 2431123198611845229
BaseRepresentation
bin110010100110001100101000…
…0000000011101100001110000
32011100210210022101020210012210
41211030121100000131201300
5431313233000010204321
64214315104435452120
7162513056666264265
oct14514312000354160
92140723271223183
10445054443444336
11119898590862820
1241aba648757040
13161445b93b099b
147bc8a6ddc326c
15366bd4a07cb76
hex194c65001d870

445054443444336 has 160 divisors (see below), whose sum is σ = 1308843309381120. Its totient is φ = 128994722841600.

The previous prime is 445054443444293. The next prime is 445054443444343. The reversal of 445054443444336 is 633444344450544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 240269370 + ... + 242114598.

It is an arithmetic number, because the mean of its divisors is an integer number (8180270683632).

Almost surely, 2445054443444336 is an apocalyptic number.

445054443444336 is a gapful number since it is divisible by the number (46) 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 445054443444336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654421654690560).

445054443444336 is an abundant number, since it is smaller than the sum of its proper divisors (863788865936784).

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

445054443444336 is a wasteful number, since it uses less digits than its factorization.

445054443444336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1865135 (or 1865129 counting only the distinct ones).

The product of its (nonzero) digits is 265420800, while the sum is 57.

The spelling of 445054443444336 in words is "four hundred forty-five trillion, fifty-four billion, four hundred forty-three million, four hundred forty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 88 92 132 138 176 184 253 264 276 368 506 528 552 759 1012 1104 1518 2024 3036 4048 6072 12144 19861 39722 59583 79444 119166 158888 218471 238332 317776 436942 456803 476664 655413 873884 913606 953328 1310826 1370409 1747768 1827212 1845229 2621652 2740818 3495536 3654424 3690458 5024833 5243304 5481636 5535687 7308848 7380916 10049666 10486608 10963272 11071374 14761832 15074499 20099332 20297519 21926544 22142748 29523664 30148998 40198664 40595038 42440267 44285496 60297996 60892557 80397328 81190076 84880534 88570992 120595992 121785114 127320801 162380152 169761068 241191984 243570228 254641602 324760304 339522136 466842937 487140456 509283204 679044272 933685874 974280912 1018566408 1400528811 1867371748 2037132816 2801057622 3734743496 5602115244 7469486992 11204230488 22408460976 36648093169 73296186338 109944279507 146592372676 219888559014 293184745352 403129024859 439777118028 586369490704 806258049718 842906142887 879554236056 1209387074577 1612516099436 1685812285774 1759108472112 2418774149154 2528718428661 3225032198872 3371624571548 4837548298308 5057436857322 6450064397744 6743249143096 9271967571757 9675096596616 10114873714644 13486498286192 18543935143514 19350193193232 20229747429288 27815902715271 37087870287028 40459494858576 55631805430542 74175740574056 111263610861084 148351481148112 222527221722168 445054443444336