Search a number
-
+
242341001000 = 23537172036479
BaseRepresentation
bin1110000110110010100…
…1100011011100101000
3212011112011100101122122
43201230221203130220
512432303244013000
6303155132410412
723336302343420
oct3415451433450
9764464311578
10242341001000
119385a1a4a0a
123ab73616a08
1319b113a0c17
14ba2d551480
15648572b085
hex386ca63728

242341001000 has 128 divisors (see below), whose sum is σ = 686212300800. Its totient is φ = 78200755200.

The previous prime is 242341000981. The next prime is 242341001011. The reversal of 242341001000 is 100143242.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 242341001000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 899240 + ... + 1137239.

It is an arithmetic number, because the mean of its divisors is an integer number (5361033600).

Almost surely, 2242341001000 is an apocalyptic number.

242341001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242341001000 is an abundant number, since it is smaller than the sum of its proper divisors (443871299800).

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

242341001000 is a wasteful number, since it uses less digits than its factorization.

242341001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2036524 (or 2036510 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 242341001000 its reverse (100143242), we get a palindrome (242441144242).

The spelling of 242341001000 in words is "two hundred forty-two billion, three hundred forty-one million, one thousand".

Divisors: 1 2 4 5 7 8 10 14 17 20 25 28 34 35 40 50 56 68 70 85 100 119 125 136 140 170 175 200 238 250 280 340 350 425 476 500 595 680 700 850 875 952 1000 1190 1400 1700 1750 2125 2380 2975 3400 3500 4250 4760 5950 7000 8500 11900 14875 17000 23800 29750 59500 119000 2036479 4072958 8145916 10182395 14255353 16291832 20364790 28510706 34620143 40729580 50911975 57021412 69240286 71276765 81459160 101823950 114042824 138480572 142553530 173100715 203647900 242341001 254559875 276961144 285107060 346201430 356383825 407295800 484682002 509119750 570214120 692402860 712767650 865503575 969364004 1018239500 1211705005 1384805720 1425535300 1731007150 1781919125 1938728008 2036479000 2423410010 2851070600 3462014300 3563838250 4327517875 4846820020 6058525025 6924028600 7127676500 8655035750 9693640040 12117050050 14255353000 17310071500 24234100100 30292625125 34620143000 48468200200 60585250250 121170500500 242341001000