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4201121320240 = 245134043399907
BaseRepresentation
bin111101001000100110010…
…110000000110100110000
3112212121211100221100121211
4331020212112000310300
51022312344024221430
612533545105525504
7612343463011255
oct75104626006460
915777740840554
104201121320240
11137a75a50a309
1257a257043894
132462195218c0
1410749a30d42c
1574432ac772a
hex3d226580d30

4201121320240 has 80 divisors (see below), whose sum is σ = 10519326907488. Its totient is φ = 1551129366528.

The previous prime is 4201121320237. The next prime is 4201121320373. The reversal of 4201121320240 is 420231211024.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×42011213202403 (a number of 39 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42000367 + ... + 42100273.

Almost surely, 24201121320240 is an apocalyptic number.

4201121320240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4201121320240 is an abundant number, since it is smaller than the sum of its proper divisors (6318205587248).

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

4201121320240 is a wasteful number, since it uses less digits than its factorization.

4201121320240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140366 (or 140360 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 4201121320240 its reverse (420231211024), we get a palindrome (4621352531264).

The spelling of 4201121320240 in words is "four trillion, two hundred one billion, one hundred twenty-one million, three hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 40433 80866 99907 161732 199814 202165 323464 399628 404330 499535 525629 646928 799256 808660 999070 1051258 1298791 1598512 1617320 1998140 2102516 2597582 2628145 3234640 3996280 4205032 5195164 5256290 6493955 7992560 8410064 10390328 10512580 12987910 20780656 21025160 25975820 42050320 51951640 103903280 4039539731 8079079462 16158158924 20197698655 32316317848 40395397310 52514016503 64632635696 80790794620 105028033006 161581589240 210056066012 262570082515 323163178480 420112132024 525140165030 840224264048 1050280330060 2100560660120 4201121320240