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1331285596740 = 22325111279525697
BaseRepresentation
bin10011010111110110110…
…011100001101001000100
311201021021120201102210100
4103113312303201221010
5133302433103043430
62455330102324100
7165116332601601
oct23276663415104
94637246642710
101331285596740
11473660016070
12196018a29630
1398702923668
14486126456a8
152496a846960
hex135f6ce1a44

1331285596740 has 144 divisors (see below), whose sum is σ = 4408797818880. Its totient is φ = 322482954240.

The previous prime is 1331285596717. The next prime is 1331285596789. The reversal of 1331285596740 is 476955821331.

It is a happy number.

1331285596740 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 2 + 8 + 5 + 596 + 7 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2269572 + ... + 2795268.

It is an arithmetic number, because the mean of its divisors is an integer number (30616651520).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1331285596740 = 2662571193480, but 3⋅1331285596740 = 3993856790220 is not.

Almost surely, 21331285596740 is an apocalyptic number.

1331285596740 is a gapful number since it is divisible by the number (10) 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 1331285596740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2204398909440).

1331285596740 is an abundant number, since it is smaller than the sum of its proper divisors (3077512222140).

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

1331285596740 is a wasteful number, since it uses less digits than its factorization.

1331285596740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527002 (or 526997 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 1331285596740 in words is "one trillion, three hundred thirty-one billion, two hundred eighty-five million, five hundred ninety-six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1279 1980 2558 3837 5116 6395 7674 11511 12790 14069 15348 19185 23022 25580 28138 38370 42207 46044 56276 57555 70345 76740 84414 115110 126621 140690 168828 211035 230220 253242 281380 422070 506484 525697 633105 844140 1051394 1266210 1577091 2102788 2532420 2628485 3154182 4731273 5256970 5782667 6308364 7885455 9462546 10513940 11565334 15770910 17348001 18925092 23130668 23656365 28913335 31541820 34696002 47312730 52044003 57826670 69392004 86740005 94625460 104088006 115653340 173480010 208176012 260220015 346960020 520440030 672366463 1040880060 1344732926 2017099389 2689465852 3361832315 4034198778 6051298167 6723664630 7396031093 8068397556 10085496945 12102596334 13447329260 14792062186 20170993890 22188093279 24205192668 29584124372 30256490835 36980155465 40341987780 44376186558 60512981670 66564279837 73960310930 88752373116 110940466395 121025963340 133128559674 147920621860 221880932790 266257119348 332821399185 443761865580 665642798370 1331285596740