Search a number
-
+
4224120023040 = 21135137503907
BaseRepresentation
bin111101011110000001001…
…011000110100000000000
3112221211012012001111210020
4331132001023012200000
51023201444211214130
612552311155533440
7614116426526031
oct75360113064000
915854165044706
104224120023040
1113894916a3105
125827b52ba280
13248443248498
1410863c980a88
1574d2bc2ce10
hex3d7812c6800

4224120023040 has 96 divisors (see below), whose sum is σ = 13513884078240. Its totient is φ = 1126431997952.

The previous prime is 4224120023023. The next prime is 4224120023051. The reversal of 4224120023040 is 403200214224.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 4224120023040.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68721234 + ... + 68782673.

It is an arithmetic number, because the mean of its divisors is an integer number (140769625815).

Almost surely, 24224120023040 is an apocalyptic number.

4224120023040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4224120023040 is an abundant number, since it is smaller than the sum of its proper divisors (9289764055200).

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

4224120023040 is a wasteful number, since it uses less digits than its factorization.

4224120023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137503937 (or 137503917 counting only the distinct ones).

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

Adding to 4224120023040 its reverse (403200214224), we get a palindrome (4627320237264).

The spelling of 4224120023040 in words is "four trillion, two hundred twenty-four billion, one hundred twenty million, twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 5120 6144 7680 10240 15360 30720 137503907 275007814 412511721 550015628 687519535 825023442 1100031256 1375039070 1650046884 2062558605 2200062512 2750078140 3300093768 4125117210 4400125024 5500156280 6600187536 8250234420 8800250048 11000312560 13200375072 16500468840 17600500096 22000625120 26400750144 33000937680 35201000192 44001250240 52801500288 66001875360 70402000384 88002500480 105603000576 132003750720 140804000768 176005000960 211206001152 264007501440 281608001536 352010001920 422412002304 528015002880 704020003840 844824004608 1056030005760 1408040007680 2112060011520 4224120023040