Search a number
-
+
4021443402408 = 2332292003961547
BaseRepresentation
bin111010100001010000101…
…101001001101010101000
3112020110001022020102001100
4322201100231021222220
51011341404002334113
612315231532321400
7563353054631235
oct72412055115250
915213038212040
104021443402408
111310536a64243
1254b471313260
132322b353a223
14dc8d31d478c
156e9187e0d73
hex3a850b49aa8

4021443402408 has 96 divisors (see below), whose sum is σ = 11272611823200. Its totient is φ = 1293610141824.

The previous prime is 4021443402407. The next prime is 4021443402433. The reversal of 4021443402408 is 8042043441204.

4021443402408 is a `hidden beast` number, since 4 + 0 + 214 + 4 + 34 + 0 + 2 + 408 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4021443402407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3701491 + ... + 4663037.

It is an arithmetic number, because the mean of its divisors is an integer number (117423039825).

Almost surely, 24021443402408 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 4021443402408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5636305911600).

4021443402408 is an abundant number, since it is smaller than the sum of its proper divisors (7251168420792).

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

4021443402408 is a wasteful number, since it uses less digits than its factorization.

4021443402408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963591 (or 963584 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The spelling of 4021443402408 in words is "four trillion, twenty-one billion, four hundred forty-three million, four hundred two thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2003 2088 4006 6009 8012 12018 16024 18027 24036 36054 48072 58087 72108 116174 144216 174261 232348 348522 464696 522783 697044 961547 1045566 1394088 1923094 2091132 2884641 3846188 4182264 5769282 7692376 8653923 11538564 17307846 23077128 27884863 34615692 55769726 69231384 83654589 111539452 167309178 223078904 250963767 334618356 501927534 669236712 1003855068 1925978641 2007710136 3851957282 5777935923 7703914564 11555871846 15407829128 17333807769 23111743692 34667615538 46223487384 55853380589 69335231076 111706761178 138670462152 167560141767 223413522356 335120283534 446827044712 502680425301 670240567068 1005360850602 1340481134136 2010721701204 4021443402408