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34522350125440 = 275137393731183
BaseRepresentation
bin1111101100101110111000…
…11010101000000110000000
311112020022012221022011221111
413312113130122220012000
514011103233113003230
6201231203153133104
710162105006246402
oct766273432500600
9145208187264844
1034522350125440
11aaaa934717171
123a567b525a194
13163559c905a38
14874c67d90b72
153ed013b0692a
hex1f65dc6a8180

34522350125440 has 64 divisors (see below), whose sum is σ = 83132402189760. Its totient is φ = 13708144832512.

The previous prime is 34522350125413. The next prime is 34522350125453. The reversal of 34522350125440 is 4452105322543.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 34522350125393 and 34522350125402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 196777912 + ... + 196953271.

It is an arithmetic number, because the mean of its divisors is an integer number (1298943784215).

Almost surely, 234522350125440 is an apocalyptic number.

It is an amenable number.

34522350125440 is an abundant number, since it is smaller than the sum of its proper divisors (48610052064320).

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

34522350125440 is a wasteful number, since it uses less digits than its factorization.

34522350125440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393731339 (or 393731327 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 40.

Adding to 34522350125440 its reverse (4452105322543), we get a palindrome (38974455447983).

The spelling of 34522350125440 in words is "thirty-four trillion, five hundred twenty-two billion, three hundred fifty million, one hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 137 160 274 320 548 640 685 1096 1370 2192 2740 4384 5480 8768 10960 17536 21920 43840 87680 393731183 787462366 1574924732 1968655915 3149849464 3937311830 6299698928 7874623660 12599397856 15749247320 25198795712 31498494640 50397591424 53941172071 62996989280 107882344142 125993978560 215764688284 251987957120 269705860355 431529376568 539411720710 863058753136 1078823441420 1726117506272 2157646882840 3452235012544 4315293765680 6904470025088 8630587531360 17261175062720 34522350125440