Search a number
-
+
42392723120 = 24511425911311
BaseRepresentation
bin100111011110110011…
…011001111010110000
311001102102101110120022
4213132303121322300
51143310014114440
631250331103012
73030350125646
oct473663317260
9131372343508
1042392723120
1116a84650370
1282712a1a68
133cc79c0c67
1420a2295196
151181ac1cb5
hex9decd9eb0

42392723120 has 80 divisors (see below), whose sum is σ = 107558115840. Its totient is φ = 15410553600.

The previous prime is 42392723119. The next prime is 42392723123. The reversal of 42392723120 is 2132729324.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (42392723123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3742265 + ... + 3753575.

It is an arithmetic number, because the mean of its divisors is an integer number (1344476448).

Almost surely, 242392723120 is an apocalyptic number.

42392723120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42392723120 is an abundant number, since it is smaller than the sum of its proper divisors (65165392720).

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

42392723120 is a wasteful number, since it uses less digits than its factorization.

42392723120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15594 (or 15588 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The spelling of 42392723120 in words is "forty-two billion, three hundred ninety-two million, seven hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 4259 8518 11311 17036 21295 22622 34072 42590 45244 46849 56555 68144 85180 90488 93698 113110 124421 170360 180976 187396 226220 234245 248842 340720 374792 452440 468490 497684 622105 749584 904880 936980 995368 1244210 1873960 1990736 2488420 3747920 4976840 9953680 48173549 96347098 192694196 240867745 385388392 481735490 529909039 770776784 963470980 1059818078 1926941960 2119636156 2649545195 3853883920 4239272312 5299090390 8478544624 10598180780 21196361560 42392723120