Search a number
-
+
42500315000 = 2354111359441
BaseRepresentation
bin100111100101001101…
…110101011101111000
311001200220211200212202
4213211031311131320
51144020040040000
631305133125332
73033124500623
oct474515653570
9131626750782
1042500315000
111702a357780
1282a1329848
1340140921b0
1420b26a0dba
15118b275dd5
hex9e5375778

42500315000 has 160 divisors (see below), whose sum is σ = 116988989040. Its totient is φ = 14265600000.

The previous prime is 42500314999. The next prime is 42500315003. The reversal of 42500315000 is 51300524.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42500315003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 685280 + ... + 744720.

Almost surely, 242500315000 is an apocalyptic number.

42500315000 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 42500315000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58494494520).

42500315000 is an abundant number, since it is smaller than the sum of its proper divisors (74488674040).

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

42500315000 is a wasteful number, since it uses less digits than its factorization.

42500315000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59491 (or 59472 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

Adding to 42500315000 its reverse (51300524), we get a palindrome (42551615524).

The spelling of 42500315000 in words is "forty-two billion, five hundred million, three hundred fifteen thousand".

Divisors: 1 2 4 5 8 10 11 13 20 22 25 26 40 44 50 52 55 65 88 100 104 110 125 130 143 200 220 250 260 275 286 325 440 500 520 550 572 625 650 715 1000 1100 1144 1250 1300 1375 1430 1625 2200 2500 2600 2750 2860 3250 3575 5000 5500 5720 6500 6875 7150 8125 11000 13000 13750 14300 16250 17875 27500 28600 32500 35750 55000 59441 65000 71500 89375 118882 143000 178750 237764 297205 357500 475528 594410 653851 715000 772733 1188820 1307702 1486025 1545466 2377640 2615404 2972050 3090932 3269255 3863665 5230808 5944100 6181864 6538510 7430125 7727330 8500063 11888200 13077020 14860250 15454660 16346275 17000126 19318325 26154040 29720500 30909320 32692550 34000252 37150625 38636650 42500315 59441000 65385100 68000504 74301250 77273300 81731375 85000630 96591625 130770200 148602500 154546600 163462750 170001260 193183250 212501575 297205000 326925500 340002520 386366500 408656875 425003150 482958125 653851000 772733000 817313750 850006300 965916250 1062507875 1634627500 1700012600 1931832500 2125015750 3269255000 3863665000 4250031500 5312539375 8500063000 10625078750 21250157500 42500315000