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1330033013442 = 2327109373259631
BaseRepresentation
bin10011010110101100001…
…001010011001011000010
311201011001021202121112100
4103112230021103023002
5133242401422412232
62455001515211230
7165043313036340
oct23265411231302
94634037677470
101330033013442
11473077a64761
12195929446b16
139856327b003
1448534148990
15248e58c0c7c
hex135ac2532c2

1330033013442 has 96 divisors (see below), whose sum is σ = 3332553269760. Its totient is φ = 375512215680.

The previous prime is 1330033013327. The next prime is 1330033013443. The reversal of 1330033013442 is 2443103300331.

1330033013442 is a `hidden beast` number, since 13 + 3 + 0 + 0 + 3 + 301 + 344 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (1330033013443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4992967 + ... + 5252597.

It is an arithmetic number, because the mean of its divisors is an integer number (34714096560).

Almost surely, 21330033013442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1330033013442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666276634880).

1330033013442 is an abundant number, since it is smaller than the sum of its proper divisors (2002520256318).

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

1330033013442 is a wasteful number, since it uses less digits than its factorization.

1330033013442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260128 (or 260125 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 1330033013442 its reverse (2443103300331), we get a palindrome (3773136313773).

The spelling of 1330033013442 in words is "one trillion, three hundred thirty billion, thirty-three million, thirteen thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 109 126 218 327 373 654 746 763 981 1119 1526 1962 2238 2289 2611 3357 4578 5222 6714 6867 7833 13734 15666 23499 40657 46998 81314 121971 243942 259631 284599 365913 519262 569198 731826 778893 853797 1557786 1707594 1817417 2336679 2561391 3634834 4673358 5122782 5452251 10904502 16356753 28299779 32713506 56599558 84899337 96842363 169798674 193684726 198098453 254698011 290527089 396196906 509396022 581054178 594295359 677896541 871581267 1188590718 1355793082 1743162534 1782886077 2033689623 3565772154 4067379246 6101068869 10555817567 12202137738 21111635134 31667452701 63334905402 73890722969 95002358103 147781445938 190004716206 221672168907 443344337814 665016506721 1330033013442