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3442022003000 = 23537270245347
BaseRepresentation
bin110010000101101000011…
…111111011000100111000
3110012001110102122120121102
4302011220133323010320
5422343230113044000
611153124301030532
7503451341201300
oct62055037730470
913161412576542
103442022003000
111107831761979
12477106255448
131bc7730ccb79
14bc84800c600
155e8053d13d5
hex321687fb138

3442022003000 has 96 divisors (see below), whose sum is σ = 9369324516240. Its totient is φ = 1180121812800.

The previous prime is 3442022002967. The next prime is 3442022003003. The reversal of 3442022003000 is 3002202443.

3442022003000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×34420220030002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3442022003003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35073674 + ... + 35171673.

Almost surely, 23442022003000 is an apocalyptic number.

It is an amenable number.

3442022003000 is an abundant number, since it is smaller than the sum of its proper divisors (5927302513240).

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

3442022003000 is a wasteful number, since it uses less digits than its factorization.

3442022003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70245382 (or 70245361 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 3442022003000 its reverse (3002202443), we get a palindrome (3445024205443).

The spelling of 3442022003000 in words is "three trillion, four hundred forty-two billion, twenty-two million, three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 125 140 175 196 200 245 250 280 350 392 490 500 700 875 980 1000 1225 1400 1750 1960 2450 3500 4900 6125 7000 9800 12250 24500 49000 70245347 140490694 280981388 351226735 491717429 561962776 702453470 983434858 1404906940 1756133675 1966869716 2458587145 2809813880 3442022003 3512267350 3933739432 4917174290 6884044006 7024534700 8780668375 9834348580 12292935725 13768088012 14049069400 17210110015 17561336750 19668697160 24585871450 27536176024 34420220030 35122673500 49171742900 61464678625 68840440060 70245347000 86050550075 98343485800 122929357250 137680880120 172101100150 245858714500 344202200300 430252750375 491717429000 688404400600 860505500750 1721011001500 3442022003000