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4334105441616 = 2431492333259751
BaseRepresentation
bin111111000100011100110…
…100001011010101010000
3120100100002021000200012120
4333010130310023111100
51032002221443112431
613115021025054240
7625062113256036
oct77043464132520
916310067020176
104334105441616
1114210a1593a55
1259bb8b187380
1325592070b412
1410dab3c4a556
1577b178e5196
hex3f11cd0b550

4334105441616 has 80 divisors (see below), whose sum is σ = 11276457724800. Its totient is φ = 1434385216000.

The previous prime is 4334105441609. The next prime is 4334105441629. The reversal of 4334105441616 is 6161445014334.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16555741 + ... + 16815491.

It is an arithmetic number, because the mean of its divisors is an integer number (140955721560).

Almost surely, 24334105441616 is an apocalyptic number.

It is an amenable number.

4334105441616 is an abundant number, since it is smaller than the sum of its proper divisors (6942352283184).

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

4334105441616 is a wasteful number, since it uses less digits than its factorization.

4334105441616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262244 (or 262238 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 4334105441616 in words is "four trillion, three hundred thirty-four billion, one hundred five million, four hundred forty-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 149 298 447 596 894 1192 1788 2333 2384 3576 4666 6999 7152 9332 13998 18664 27996 37328 55992 111984 259751 347617 519502 695234 779253 1039004 1042851 1390468 1558506 2078008 2085702 2780936 3117012 4156016 4171404 5561872 6234024 8342808 12468048 16685616 38702899 77405798 116108697 154811596 232217394 309623192 464434788 605999083 619246384 928869576 1211998166 1817997249 1857739152 2423996332 3635994498 4847992664 7271988996 9695985328 14543977992 29087955984 90293863367 180587726734 270881590101 361175453468 541763180202 722350906936 1083526360404 1444701813872 2167052720808 4334105441616