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34102222859944 = 2357776993710253
BaseRepresentation
bin1111100000100000010101…
…11000010010111010101000
311110202010210112201210021001
413300100022320102322220
513432212323023004234
6200310202255524344
710116542605360141
oct760201270227250
9143663715653231
1034102222859944
11a958742841358
1239a92a55296b4
131604a97420b55
1485c7b0a58ac8
153e2125203d14
hex1f040ae12ea8

34102222859944 has 64 divisors (see below), whose sum is σ = 64210488526800. Its totient is φ = 16979626819584.

The previous prime is 34102222859897. The next prime is 34102222859963. The reversal of 34102222859944 is 44995822220143.

It can be written as a sum of positive squares in 8 ways, for example, as 10476421092900 + 23625801767044 = 3236730^2 + 4860638^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3326067522 + ... + 3326077774.

Almost surely, 234102222859944 is an apocalyptic number.

It is an amenable number.

34102222859944 is a deficient number, since it is larger than the sum of its proper divisors (30108265666856).

34102222859944 is a wasteful number, since it uses less digits than its factorization.

34102222859944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12542 (or 12538 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 55.

The spelling of 34102222859944 in words is "thirty-four trillion, one hundred two billion, two hundred twenty-two million, eight hundred fifty-nine thousand, nine hundred forty-four".

Divisors: 1 2 4 8 577 769 937 1154 1538 1874 2308 3076 3748 4616 6152 7496 10253 20506 41012 82024 443713 540649 720553 887426 1081298 1441106 1774852 2162596 2882212 3549704 4325192 5764424 5915981 7884557 9607061 11831962 15769114 19214122 23663924 31538228 38428244 47327848 63076456 76856488 415759081 831518162 1663036324 3326072648 4549389389 5543274197 7387829909 9098778778 11086548394 14775659818 18197557556 22173096788 29551319636 36395115112 44346193576 59102639272 4262777857493 8525555714986 17051111429972 34102222859944