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1445460330016 = 254310122434637
BaseRepresentation
bin10101000010001100001…
…001100100011000100000
312010011222121121211121101
4111002030021210120200
5142140300321030031
63024011343204144
7206300566040233
oct25021411443040
95104877554541
101445460330016
1150801a74506a
121b41818a6654
13a63c9cc0831
144dd6406541a
15278ee1cc361
hex1508c264620

1445460330016 has 96 divisors (see below), whose sum is σ = 2942706811968. Its totient is φ = 698470886400.

The previous prime is 1445460330007. The next prime is 1445460330019. The reversal of 1445460330016 is 6100330645441.

It is not an unprimeable number, because it can be changed into a prime (1445460330019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 311720850 + ... + 311725486.

It is an arithmetic number, because the mean of its divisors is an integer number (30653195958).

Almost surely, 21445460330016 is an apocalyptic number.

1445460330016 is a gapful number since it is divisible by the number (16) 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 1445460330016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471353405984).

1445460330016 is an abundant number, since it is smaller than the sum of its proper divisors (1497246481952).

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

1445460330016 is a wasteful number, since it uses less digits than its factorization.

1445460330016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7034 (or 7026 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

Adding to 1445460330016 its reverse (6100330645441), we get a palindrome (7545790975457).

The spelling of 1445460330016 in words is "one trillion, four hundred forty-five billion, four hundred sixty million, three hundred thirty thousand, sixteen".

Divisors: 1 2 4 8 16 32 43 86 101 172 202 344 404 688 808 1376 1616 2243 3232 4343 4486 4637 8686 8972 9274 17372 17944 18548 34744 35888 37096 69488 71776 74192 96449 138976 148384 192898 199391 226543 385796 398782 453086 468337 771592 797564 906172 936674 1543184 1595128 1812344 1873348 3086368 3190256 3624688 3746696 6380512 7249376 7493392 9741349 10400791 14986784 19482698 20138491 20801582 38965396 40276982 41603164 77930792 80553964 83206328 155861584 161107928 166412656 311723168 322215856 332825312 447234013 644431712 894468026 1050479891 1788936052 2100959782 3577872104 4201919564 7155744208 8403839128 14311488416 16807678256 33615356512 45170635313 90341270626 180682541252 361365082504 722730165008 1445460330016