Search a number
-
+
4001512132240 = 245743166175753
BaseRepresentation
bin111010001110101100101…
…101011000111010010000
3112011112121021000222101221
4322032230231120322100
51011030044101212430
612302134100134424
7562046125630660
oct72165455307220
915145537028357
104001512132240
111303039308a37
1254762a397414
13230458177c3c
14db9620c01a0
156e14daee57a
hex3a3acb58e90

4001512132240 has 80 divisors (see below), whose sum is σ = 10879858965888. Its totient is φ = 1340041264128.

The previous prime is 4001512132237. The next prime is 4001512132249. The reversal of 4001512132240 is 422312151004.

4001512132240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×40015121322402 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4001512132249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83063797 + ... + 83111956.

Almost surely, 24001512132240 is an apocalyptic number.

4001512132240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4001512132240 is an abundant number, since it is smaller than the sum of its proper divisors (6878346833648).

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

4001512132240 is a wasteful number, since it uses less digits than its factorization.

4001512132240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166175816 (or 166175810 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 4001512132240 its reverse (422312151004), we get a palindrome (4423824283244).

The spelling of 4001512132240 in words is "four trillion, one billion, five hundred twelve million, one hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 43 56 70 80 86 112 140 172 215 280 301 344 430 560 602 688 860 1204 1505 1720 2408 3010 3440 4816 6020 12040 24080 166175753 332351506 664703012 830878765 1163230271 1329406024 1661757530 2326460542 2658812048 3323515060 4652921084 5816151355 6647030120 7145557379 9305842168 11632302710 13294060240 14291114758 18611684336 23264605420 28582229516 35727786895 46529210840 50018901653 57164459032 71455573790 93058421680 100037803306 114328918064 142911147580 200075606612 250094508265 285822295160 400151213224 500189016530 571644590320 800302426448 1000378033060 2000756066120 4001512132240