Search a number
-
+
4020233342412 = 22371913071927271
BaseRepresentation
bin111010100000001000100…
…101001000110111001100
3112020022220222021222210110
4322200020211020313030
51011331414213424122
612314511504440020
7563311062403440
oct72401045106714
915208828258713
104020233342412
11130aa75a07261
1254b194019010
1323214c932ab1
14dc81a606820
156e89746990c
hex3a808948dcc

4020233342412 has 96 divisors (see below), whose sum is σ = 11293505556480. Its totient is φ = 1087350315840.

The previous prime is 4020233342387. The next prime is 4020233342459. The reversal of 4020233342412 is 2142433320204.

It is a super-2 number, since 2×40202333424122 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4020233342412.

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 31 ways as a sum of consecutive naturals, for example, 1122337 + ... + 3049607.

It is an arithmetic number, because the mean of its divisors is an integer number (117640682880).

Almost surely, 24020233342412 is an apocalyptic number.

4020233342412 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4020233342412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5646752778240).

4020233342412 is an abundant number, since it is smaller than the sum of its proper divisors (7273272214068).

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

4020233342412 is a wasteful number, since it uses less digits than its factorization.

4020233342412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1928611 (or 1928609 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 4020233342412 its reverse (2142433320204), we get a palindrome (6162666662616).

The spelling of 4020233342412 in words is "four trillion, twenty billion, two hundred thirty-three million, three hundred forty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 399 532 798 1307 1596 2614 3921 5228 7842 9149 15684 18298 24833 27447 36596 49666 54894 74499 99332 109788 148998 173831 297996 347662 521493 695324 1042986 1927271 2085972 3854542 5781813 7709084 11563626 13490897 23127252 26981794 36618149 40472691 53963588 73236298 80945382 109854447 146472596 161890764 219708894 256327043 439417788 512654086 768981129 1025308172 1537962258 2518943197 3075924516 5037886394 7556829591 10075772788 15113659182 17632602379 30227318364 35265204758 47859920743 52897807137 70530409516 95719841486 105795614274 143579762229 191439682972 211591228548 287159524458 335019445201 574319048916 670038890402 1005058335603 1340077780804 2010116671206 4020233342412