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42026130000 = 243254466957
BaseRepresentation
bin100111001000111100…
…111101101001010000
311000110212120121100100
4213020330331221100
51142032142130000
631150113452400
73015306132231
oct471074755120
9130425517310
1042026130000
1116906722548
12818a571100
133c69a7825a
142069709088
15115e80ba00
hex9c8f3da50

42026130000 has 150 divisors (see below), whose sum is σ = 146971761794. Its totient is φ = 11206944000.

The previous prime is 42026129983. The next prime is 42026130059. The reversal of 42026130000 is 3162024.

It is a happy number.

42026130000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 19446860304 + 22579269696 = 139452^2 + 150264^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 143479 + ... + 323478.

Almost surely, 242026130000 is an apocalyptic number.

42026130000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42026130000 is an abundant number, since it is smaller than the sum of its proper divisors (104945631794).

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

42026130000 is a wasteful number, since it uses less digits than its factorization.

42026130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466991 (or 466967 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 42026130000 its reverse (3162024), we get a palindrome (42029292024).

The spelling of 42026130000 in words is "forty-two billion, twenty-six million, one hundred thirty thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 720 750 900 1000 1125 1200 1250 1500 1800 1875 2000 2250 2500 3000 3600 3750 4500 5000 5625 6000 7500 9000 10000 11250 15000 18000 22500 30000 45000 90000 466957 933914 1400871 1867828 2334785 2801742 3735656 4202613 4669570 5603484 7004355 7471312 8405226 9339140 11206968 11673925 14008710 16810452 18678280 21013065 22413936 23347850 28017420 33620904 35021775 37356560 42026130 46695700 56034840 58369625 67241808 70043550 84052260 93391400 105065325 112069680 116739250 140087100 168104520 175108875 186782800 210130650 233478500 280174200 291848125 336209040 350217750 420261300 466957000 525326625 560348400 583696250 700435500 840522600 875544375 933914000 1050653250 1167392500 1400871000 1681045200 1751088750 2101306500 2334785000 2626633125 2801742000 3502177500 4202613000 4669570000 5253266250 7004355000 8405226000 10506532500 14008710000 21013065000 42026130000