Search a number
-
+
4224424244224 = 21041271371291
BaseRepresentation
bin111101011110010011010…
…011100111010000000000
3112221211222101111112210111
4331132103103213100000
51023203110101303344
612552401304241104
7614130112416202
oct75362323472000
915854871445714
104224424244224
11138962839aa78
1258287b170194
13248491293712
1410866b132772
1574d487c2834
hex3d7934e7400

4224424244224 has 88 divisors (see below), whose sum is σ = 8682636686976. Its totient is φ = 2053085184000.

The previous prime is 4224424244179. The next prime is 4224424244263.

4224424244224 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 11192019 + ... + 11563309.

Almost surely, 24224424244224 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 4224424244224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4341318343488).

4224424244224 is an abundant number, since it is smaller than the sum of its proper divisors (4458212442752).

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

4224424244224 is a wasteful number, since it uses less digits than its factorization.

4224424244224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371623 (or 371605 counting only the distinct ones).

The product of its digits is 1048576, while the sum is 40.

The spelling of 4224424244224 in words is "four trillion, two hundred twenty-four billion, four hundred twenty-four million, two hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 271 328 512 542 656 1024 1084 1312 2168 2624 4336 5248 8672 10496 11111 17344 20992 22222 34688 41984 44444 69376 88888 138752 177776 277504 355552 371291 711104 742582 1422208 1485164 2844416 2970328 5688832 5940656 11377664 11881312 15222931 23762624 30445862 47525248 60891724 95050496 100619861 121783448 190100992 201239722 243566896 380201984 402479444 487133792 804958888 974267584 1609917776 1948535168 3219835552 3897070336 4125414301 6439671104 7794140672 8250828602 12879342208 15588281344 16501657204 25758684416 33003314408 51517368832 66006628816 103034737664 132013257632 264026515264 528053030528 1056106061056 2112212122112 4224424244224