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330342411344 = 2411411011572887
BaseRepresentation
bin1001100111010011111…
…00010010110001010000
31011120200010112020011212
410303221330102301100
520403020124130334
6411431320155252
732603123111111
oct4635174226120
91146603466155
10330342411344
11118108752010
1254033008b28
13251c7120a6a
1411dbac40208
1588d63c2ece
hex4ce9f12c50

330342411344 has 160 divisors (see below), whose sum is σ = 727187956992. Its totient is φ = 144069120000.

The previous prime is 330342411341. The next prime is 330342411353. The reversal of 330342411344 is 443114243033.

It is a super-2 number, since 2×3303424113442 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 330342411344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330342411341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114422669 + ... + 114425555.

Almost surely, 2330342411344 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 330342411344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363593978496).

330342411344 is an abundant number, since it is smaller than the sum of its proper divisors (396845545648).

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

330342411344 is a wasteful number, since it uses less digits than its factorization.

330342411344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3205 (or 3199 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 330342411344 its reverse (443114243033), we get a palindrome (773456654377).

The spelling of 330342411344 in words is "three hundred thirty billion, three hundred forty-two million, four hundred eleven thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 41 44 82 88 101 157 164 176 202 314 328 404 451 628 656 808 902 1111 1256 1616 1727 1804 2222 2512 2887 3454 3608 4141 4444 5774 6437 6908 7216 8282 8888 11548 12874 13816 15857 16564 17776 23096 25748 27632 31714 31757 33128 45551 46192 51496 63428 63514 66256 70807 91102 102992 118367 126856 127028 141614 174427 182204 236734 253712 254056 283228 291587 348854 364408 453259 473468 508112 566456 583174 650137 697708 728816 906518 946936 1132912 1166348 1300274 1302037 1395416 1813036 1893872 2332696 2600548 2604074 2790832 3207457 3626072 4665392 4985849 5201096 5208148 6414914 7151507 7252144 9971698 10402192 10416296 11955067 12829828 14303014 18583619 19943396 20832592 23910134 25659656 28606028 37167238 39886792 45779159 47820268 51319312 57212056 74334476 79773584 91558318 95640536 114424112 131505737 148668952 183116636 191281072 204419809 263011474 297337904 366233272 408839618 503570749 526022948 732466544 817679236 1007141498 1052045896 1635358472 1876945519 2014282996 2104091792 3270716944 3753891038 4028565992 7507782076 8057131984 15015564152 20646400709 30031128304 41292801418 82585602836 165171205672 330342411344