Search a number
-
+
4224344321296 = 24111311571167013
BaseRepresentation
bin111101011110001110100…
…010101110110100010000
3112221211202211010001011001
4331132032202232310100
51023202424121240141
612552345331231344
7614125122163561
oct75361642566420
915854684101131
104224344321296
111389597271770
12582858448554
1324847a85c448
1410866068a168
1574d41786a31
hex3d78e8aed10

4224344321296 has 80 divisors (see below), whose sum is σ = 9054198762048. Its totient is φ = 1893360268800.

The previous prime is 4224344321261. The next prime is 4224344321303. The reversal of 4224344321296 is 6921234434224.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3036286 + ... + 4203298.

Almost surely, 24224344321296 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 4224344321296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4527099381024).

4224344321296 is an abundant number, since it is smaller than the sum of its proper divisors (4829854440752).

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

4224344321296 is a wasteful number, since it uses less digits than its factorization.

4224344321296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167320 (or 1167314 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 46.

The spelling of 4224344321296 in words is "four trillion, two hundred twenty-four billion, three hundred forty-four million, three hundred twenty-one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 44 88 131 157 176 262 314 524 628 1048 1256 1441 1727 2096 2512 2882 3454 5764 6908 11528 13816 20567 23056 27632 41134 82268 164536 226237 329072 452474 904948 1167013 1809896 2334026 3619792 4668052 9336104 12837143 18672208 25674286 51348572 102697144 152878703 183221041 205394288 305757406 366442082 611514812 732884164 1223029624 1465768328 1681665733 2015431451 2446059248 2931536656 3363331466 4030862902 6726662932 8061725804 13453325864 16123451608 24001956371 26906651728 32246903216 48003912742 96007825484 192015650968 264021520081 384031301936 528043040162 1056086080324 2112172160648 4224344321296