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2421344244032 = 267103241217733
BaseRepresentation
bin100011001111000011010…
…111010001000101000000
322120110220122101011100122
4203033003113101011000
5304132403111302112
65052203350235412
7336636111325550
oct43170327210500
98513818334318
102421344244032
1185398277968a
12331333355b68
13147440c067bc
148529d695160
1542eb8671872
hex233c35d1140

2421344244032 has 112 divisors (see below), whose sum is σ = 5567608180992. Its totient is φ = 1023375237120.

The previous prime is 2421344244029. The next prime is 2421344244037. The reversal of 2421344244032 is 2304424431242.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 2421344243983 and 2421344244001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2421344244037) by changing a digit.

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, 11011838 + ... + 11229570.

Almost surely, 22421344244032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2421344244032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2783804090496).

2421344244032 is an abundant number, since it is smaller than the sum of its proper divisors (3146263936960).

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

2421344244032 is a wasteful number, since it uses less digits than its factorization.

2421344244032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218096 (or 218086 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 35.

Adding to 2421344244032 its reverse (2304424431242), we get a palindrome (4725768675274).

The spelling of 2421344244032 in words is "two trillion, four hundred twenty-one billion, three hundred forty-four million, two hundred forty-four thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 103 112 206 224 241 412 448 482 721 824 964 1442 1648 1687 1928 2884 3296 3374 3856 5768 6592 6748 7712 11536 13496 15424 23072 24823 26992 46144 49646 53984 99292 107968 173761 198584 217733 347522 397168 435466 695044 794336 870932 1390088 1524131 1588672 1741864 2780176 3048262 3483728 5560352 6096524 6967456 11120704 12193048 13934912 22426499 24386096 44852998 48772192 52473653 89705996 97544384 104947306 156985493 179411992 209894612 313970986 358823984 367315571 419789224 627941972 717647968 734631142 839578448 1255883944 1435295936 1469262284 1679156896 2511767888 2938524568 3358313792 5023535776 5404786259 5877049136 10047071552 10809572518 11754098272 21619145036 23508196544 37833503813 43238290072 75667007626 86476580144 151334015252 172953160288 302668030504 345906320576 605336061008 1210672122016 2421344244032