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42334070000 = 245423917713
BaseRepresentation
bin100111011011010011…
…101010010011110000
311001021100000120121112
4213123103222103300
51143200010220000
631240434012452
73026035441415
oct473323522360
9131240016545
1042334070000
1116a5452a412
128255717128
133cb87c6081
14209858810c
15117b888235
hex9db4ea4f0

42334070000 has 100 divisors (see below), whose sum is σ = 102929676960. Its totient is φ = 16861824000.

The previous prime is 42334069933. The next prime is 42334070003. The reversal of 42334070000 is 7043324.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42334070003) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 2381144 + ... + 2398856.

Almost surely, 242334070000 is an apocalyptic number.

42334070000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42334070000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51464838480).

42334070000 is an abundant number, since it is smaller than the sum of its proper divisors (60595606960).

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

42334070000 is a wasteful number, since it uses less digits than its factorization.

42334070000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17980 (or 17959 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 23.

The spelling of 42334070000 in words is "forty-two billion, three hundred thirty-four million, seventy thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 239 250 400 478 500 625 956 1000 1195 1250 1912 2000 2390 2500 3824 4780 5000 5975 9560 10000 11950 17713 19120 23900 29875 35426 47800 59750 70852 88565 95600 119500 141704 149375 177130 239000 283408 298750 354260 442825 478000 597500 708520 885650 1195000 1417040 1771300 2214125 2390000 3542600 4233407 4428250 7085200 8466814 8856500 11070625 16933628 17713000 21167035 22141250 33867256 35426000 42334070 44282500 67734512 84668140 88565000 105835175 169336280 177130000 211670350 338672560 423340700 529175875 846681400 1058351750 1693362800 2116703500 2645879375 4233407000 5291758750 8466814000 10583517500 21167035000 42334070000