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4421330468416 = 26172154612
BaseRepresentation
bin100000001010110101111…
…0101001111111001000000
3120122200020010022010201201
41000111223311033321000
51034414341044442131
613223044200110544
7634300455620521
oct100255365177100
916580203263651
104421330468416
111455091870664
125b4a72765454
13260c11656904
14113dca39a848
157a02032c761
hex4056bd4fe40

4421330468416 has 63 divisors (see below), whose sum is σ = 9320631699187. Its totient is φ = 2080491530240.

The previous prime is 4421330468383. The next prime is 4421330468461. The reversal of 4421330468416 is 6148640331244.

The square root of 4421330468416 is 2102696.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1648360000 + 4419682108416 = 40600^2 + 2102304^2 .

It is a super-2 number, since 2×44213304684162 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 285958926 + ... + 285974386.

Almost surely, 24421330468416 is an apocalyptic number.

4421330468416 is the 2102696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4421330468416

4421330468416 is an abundant number, since it is smaller than the sum of its proper divisors (4899301230771).

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

4421330468416 is an frugal number, since it uses more digits than its factorization.

4421330468416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30968 (or 15480 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 46.

The spelling of 4421330468416 in words is "four trillion, four hundred twenty-one billion, three hundred thirty million, four hundred sixty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 289 544 578 1088 1156 2312 4624 9248 15461 18496 30922 61844 123688 247376 262837 494752 525674 989504 1051348 2102696 4205392 4468229 8410784 8936458 16821568 17872916 35745832 71491664 142983328 239042521 285966656 478085042 956170084 1912340168 3824680336 4063722857 7649360672 8127445714 15298721344 16254891428 32509782856 65019565712 69083288569 130039131424 138166577138 260078262848 276333154276 552666308552 1105332617104 2210665234208 4421330468416