Search a number
-
+
42041200140 = 223254730716187
BaseRepresentation
bin100111001001110110…
…011100111000001100
311000111220221020200200
4213021312130320030
51142100021401030
631151412453500
73015551206422
oct471166347014
9130456836620
1042041200140
1116914185a05
12819361a290
133c6cc237b4
14206b70d112
151160cd6d60
hex9c9d9ce0c

42041200140 has 144 divisors (see below), whose sum is σ = 130670572032. Its totient is φ = 10936038528.

The previous prime is 42041200129. The next prime is 42041200151. The reversal of 42041200140 is 4100214024.

42041200140 is a `hidden beast` number, since 420 + 4 + 1 + 200 + 1 + 40 = 666.

42041200140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42041200129) and next prime (42041200151).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2589127 + ... + 2605313.

It is an arithmetic number, because the mean of its divisors is an integer number (907434528).

Almost surely, 242041200140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42041200140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65335286016).

42041200140 is an abundant number, since it is smaller than the sum of its proper divisors (88629371892).

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

42041200140 is a wasteful number, since it uses less digits than its factorization.

42041200140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16556 (or 16551 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 42041200140 its reverse (4100214024), we get a palindrome (46141414164).

The spelling of 42041200140 in words is "forty-two billion, forty-one million, two hundred thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 180 188 235 282 307 423 470 564 614 705 846 921 940 1228 1410 1535 1692 1842 2115 2763 2820 3070 3684 4230 4605 5526 6140 8460 9210 11052 13815 14429 16187 18420 27630 28858 32374 43287 48561 55260 57716 64748 72145 80935 86574 97122 129861 144290 145683 161870 173148 194244 216435 242805 259722 288580 291366 323740 432870 485610 519444 582732 649305 728415 760789 865740 971220 1298610 1456830 1521578 2282367 2597220 2913660 3043156 3803945 4564734 4969409 6847101 7607890 9129468 9938818 11411835 13694202 14908227 15215780 19877636 22823670 24847045 27388404 29816454 34235505 44724681 45647340 49694090 59632908 68471010 74541135 89449362 99388180 136942020 149082270 178898724 223623405 233562223 298164540 447246810 467124446 700686669 894493620 934248892 1167811115 1401373338 2102060007 2335622230 2802746676 3503433345 4204120014 4671244460 7006866690 8408240028 10510300035 14013733380 21020600070 42041200140