Search a number
-
+
424243003440240 = 24335743264345623
BaseRepresentation
bin110000001110110001100010…
…1100001001011110001110000
32001122010020100100021010012000
41200131203011201023301300
5421101244132340041430
64102142313434134000
7155234355054066615
oct14035430541136160
92048106310233160
10424243003440240
111131a44a14a4656
123b6b9177581300
1315294c36018cba
1476a968431450c
15340a8028ede60
hex181d8c584bc70

424243003440240 has 160 divisors (see below), whose sum is σ = 1463248193264640. Its totient is φ = 112979204077824.

The previous prime is 424243003440209. The next prime is 424243003440301. The reversal of 424243003440240 is 42044300342424.

424243003440240 is a `hidden beast` number, since 4 + 2 + 4 + 2 + 4 + 300 + 344 + 0 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 424243003440195 and 424243003440204.

It is a congruent number.

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, 130567932 + ... + 133777691.

It is an arithmetic number, because the mean of its divisors is an integer number (9145301207904).

Almost surely, 2424243003440240 is an apocalyptic number.

424243003440240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424243003440240 is an abundant number, since it is smaller than the sum of its proper divisors (1039005189824400).

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

424243003440240 is a wasteful number, since it uses less digits than its factorization.

424243003440240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264346388 (or 264346376 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 424243003440240 its reverse (42044300342424), we get a palindrome (466287303782664).

The spelling of 424243003440240 in words is "four hundred twenty-four trillion, two hundred forty-three billion, three million, four hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 743 1080 1486 2160 2229 2972 3715 4458 5944 6687 7430 8916 11145 11888 13374 14860 17832 20061 22290 26748 29720 33435 35664 40122 44580 53496 59440 66870 80244 89160 100305 106992 133740 160488 178320 200610 267480 320976 401220 534960 802440 1604880 264345623 528691246 793036869 1057382492 1321728115 1586073738 2114764984 2379110607 2643456230 3172147476 3965184345 4229529968 4758221214 5286912460 6344294952 7137331821 7930368690 9516442428 10573824920 11895553035 12688589904 14274663642 15860737380 19032884856 21147649840 23791106070 28549327284 31721474760 35686659105 38065769712 47582212140 57098654568 63442949520 71373318210 95164424280 114197309136 142746636420 190328848560 196408797889 285493272840 392817595778 570986545680 589226393667 785635191556 982043989445 1178452787334 1571270383112 1767679181001 1964087978890 2356905574668 2946131968335 3142540766224 3535358362002 3928175957780 4713811149336 5303037543003 5892263936670 7070716724004 7856351915560 8838395905005 9427622298672 10606075086006 11784527873340 14141433448008 15712703831120 17676791810010 21212150172012 23569055746680 26515187715015 28282866896016 35353583620020 42424300344024 47138111493360 53030375430030 70707167240040 84848600688048 106060750860060 141414334480080 212121501720120 424243003440240