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420004241300040 = 233543152115586817
BaseRepresentation
bin101111101111111011101101…
…1100110110101101001001000
32001002010000100201110222200020
41133133313123212311221020
5420022322141233100130
64045135141302540440
7154316206431266415
oct13737673346655110
92032100321428606
10420004241300040
1111190a8867a9181
123b133776737720
13150482cb43a987
1475a0456cad10c
15338541a500e10
hex17dfddb9b5a48

420004241300040 has 128 divisors (see below), whose sum is σ = 1265360330257920. Its totient is φ = 111526785843200.

The previous prime is 420004241300029. The next prime is 420004241300081. The reversal of 420004241300040 is 40003142400024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19152712 + ... + 34739528.

It is an arithmetic number, because the mean of its divisors is an integer number (9885627580140).

Almost surely, 2420004241300040 is an apocalyptic number.

420004241300040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420004241300040 is an abundant number, since it is smaller than the sum of its proper divisors (845356088957880).

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

420004241300040 is a wasteful number, since it uses less digits than its factorization.

420004241300040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15587783 (or 15587779 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 420004241300040 its reverse (40003142400024), we get a palindrome (460007383700064).

The spelling of 420004241300040 in words is "four hundred twenty trillion, four billion, two hundred forty-one million, three hundred thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 431 521 862 1042 1293 1563 1724 2084 2155 2586 2605 3126 3448 4168 4310 5172 5210 6252 6465 7815 8620 10344 10420 12504 12930 15630 17240 20840 25860 31260 51720 62520 224551 449102 673653 898204 1122755 1347306 1796408 2245510 2694612 3368265 4491020 5389224 6736530 8982040 13473060 15586817 26946120 31173634 46760451 62347268 77934085 93520902 124694536 155868170 187041804 233802255 311736340 374083608 467604510 623472680 935209020 1870418040 6717918127 8120731657 13435836254 16241463314 20153754381 24362194971 26871672508 32482926628 33589590635 40307508762 40603658285 48724389942 53743345016 64965853256 67179181270 80615017524 81207316570 97448779884 100768771905 121810974855 134358362540 161230035048 162414633140 194897559768 201537543810 243621949710 268716725080 324829266280 403075087620 487243899420 806150175240 974487798840 3500035344167 7000070688334 10500106032501 14000141376668 17500176720835 21000212065002 28000282753336 35000353441670 42000424130004 52500530162505 70000706883340 84000848260008 105001060325010 140001413766680 210002120650020 420004241300040