Search a number
-
+
42031201240 = 23577313191559
BaseRepresentation
bin100111001001010000…
…010011101111011000
311000111020010020210001
4213021100103233120
51142034441414430
631150414302344
73015400213210
oct471120235730
9130436106701
1042031201240
1116909576656
1281901b79b4
133c6ab325a2
14206a269240
15115eeae3ca
hex9c9413bd8

42031201240 has 128 divisors (see below), whose sum is σ = 109714176000. Its totient is φ = 14193404928.

The previous prime is 42031201141. The next prime is 42031201309. The reversal of 42031201240 is 4210213024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26959581 + ... + 26961139.

It is an arithmetic number, because the mean of its divisors is an integer number (857142000).

Almost surely, 242031201240 is an apocalyptic number.

42031201240 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 42031201240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54857088000).

42031201240 is an abundant number, since it is smaller than the sum of its proper divisors (67682974760).

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

42031201240 is a wasteful number, since it uses less digits than its factorization.

42031201240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2969 (or 2965 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 42031201240 its reverse (4210213024), we get a palindrome (46241414264).

The spelling of 42031201240 in words is "forty-two billion, thirty-one million, two hundred one thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 73 140 146 280 292 365 511 584 730 1022 1319 1460 1559 2044 2555 2638 2920 3118 4088 5110 5276 6236 6595 7795 9233 10220 10552 10913 12472 13190 15590 18466 20440 21826 26380 31180 36932 43652 46165 52760 54565 62360 73864 87304 92330 96287 109130 113807 184660 192574 218260 227614 369320 385148 436520 455228 481435 569035 674009 770296 796649 910456 962870 1138070 1348018 1593298 1925740 2056321 2276140 2696036 3186596 3370045 3851480 3983245 4112642 4552280 5392072 6373192 6740090 7966490 8225284 10281605 13480180 14394247 15932980 16450568 20563210 26960360 28788494 31865960 41126420 57576988 71971235 82252840 115153976 143942470 150111433 287884940 300222866 575769880 600445732 750557165 1050780031 1200891464 1501114330 2101560062 3002228660 4203120124 5253900155 6004457320 8406240248 10507800310 21015600620 42031201240