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330230341320441 = 34719922967197649
BaseRepresentation
bin100101100010101111011111…
…0001100000011111011111001
31121022020201020021110210211120
41023011132332030003323321
5321240443214334223231
63130201420253215453
7126362232464116422
oct11305367614037371
91538221207423746
10330230341320441
11962489a0651911
1231054a29191589
1311235783b62983
145b7933b79a649
15282a0b0657d96
hex12c57be303ef9

330230341320441 has 64 divisors (see below), whose sum is σ = 454035456000000. Its totient is φ = 213390825449472.

The previous prime is 330230341320413. The next prime is 330230341320511. The reversal of 330230341320441 is 144023143032033.

It is a happy number.

It is not a de Polignac number, because 330230341320441 - 223 = 330230332931833 is a prime.

It is a super-2 number, since 2×3302303413204412 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (330230341300441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43173004585 + ... + 43173012233.

It is an arithmetic number, because the mean of its divisors is an integer number (7094304000000).

Almost surely, 2330230341320441 is an apocalyptic number.

It is an amenable number.

330230341320441 is a deficient number, since it is larger than the sum of its proper divisors (123805114679559).

330230341320441 is a wasteful number, since it uses less digits than its factorization.

330230341320441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14846.

The product of its (nonzero) digits is 62208, while the sum is 33.

Adding to 330230341320441 its reverse (144023143032033), we get a palindrome (474253484352474).

The spelling of 330230341320441 in words is "three hundred thirty trillion, two hundred thirty billion, three hundred forty-one million, three hundred twenty thousand, four hundred forty-one".

Divisors: 1 3 47 141 199 229 597 687 6719 7649 9353 10763 20157 22947 28059 32289 45571 136713 315793 359503 947379 1078509 1337081 1522151 1538651 1751621 2141837 4011243 4566453 4615953 5254863 6425511 51393631 62842807 71541097 72316597 82326187 154180893 188528421 214623291 216949791 246978561 306191549 348572579 918574647 1045717737 2415500657 7246501971 10227332569 11769141499 14391002803 16382911213 30681997707 35307424497 43173008409 49148733639 480684630743 553149650453 1442053892229 1659448951359 2342059158301 7026177474903 110076780440147 330230341320441