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3122076314368 = 281117547119227
BaseRepresentation
bin101101011011101010001…
…111111110101100000000
3102001110121212101120210201
4231123222033332230000
5402123003014024433
610350132334334544
7441363650544124
oct55335217765400
912043555346721
103122076314368
11aa4079761590
124250b505a454
13198544c3124b
14ab175cc1584
155632bb33a7d
hex2d6ea3feb00

3122076314368 has 144 divisors (see below), whose sum is σ = 7211630530944. Its totient is φ = 1333194670080.

The previous prime is 3122076314341. The next prime is 3122076314369. The reversal of 3122076314368 is 8634136702213.

It is not an unprimeable number, because it can be changed into a prime (3122076314369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26126371 + ... + 26245597.

It is an arithmetic number, because the mean of its divisors is an integer number (50080767576).

Almost surely, 23122076314368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3122076314368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3605815265472).

3122076314368 is an abundant number, since it is smaller than the sum of its proper divisors (4089554216576).

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

3122076314368 is a wasteful number, since it uses less digits than its factorization.

3122076314368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119818 (or 119804 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 46.

The spelling of 3122076314368 in words is "three trillion, one hundred twenty-two billion, seventy-six million, three hundred fourteen thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 176 187 256 272 352 374 544 547 704 748 1088 1094 1408 1496 2176 2188 2816 2992 4352 4376 5984 6017 8752 9299 11968 12034 17504 18598 23936 24068 35008 37196 47872 48136 70016 74392 96272 102289 119227 140032 148784 192544 204578 238454 297568 385088 409156 476908 595136 770176 818312 953816 1190272 1311497 1540352 1636624 1907632 2026859 2380544 2622994 3273248 3815264 4053718 5245988 6546496 7630528 8107436 10491976 13092992 15261056 16214872 20983952 22295449 26185984 30522112 32429744 41967904 44590898 64859488 65217169 83935808 89181796 129718976 130434338 167871616 178363592 259437952 260868676 335743232 356727184 518875904 521737352 713454368 717388859 1043474704 1108691873 1426908736 1434777718 2086949408 2217383746 2853817472 2869555436 4173898816 4434767492 5707634944 5739110872 8347797632 8869534984 11478221744 12195610603 16695595264 17739069968 22956443488 24391221206 35478139936 45912886976 48782442412 70956279872 91825773952 97564884824 141912559744 183651547904 195129769648 283825119488 390259539296 780519078592 1561038157184 3122076314368