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1324402131040 = 255151230923741
BaseRepresentation
bin10011010001011100100…
…001001100000001100000
311200121111212021011000021
4103101130201030001200
5133144333421143130
62452231050003224
7164453630240512
oct23213441140140
94617455234007
101324402131040
1147074852643a
12194817716514
1397b76800031
144815c381bb2
15246b639b37a
hex1345c84c060

1324402131040 has 96 divisors (see below), whose sum is σ = 3151118013120. Its totient is φ = 526002432000.

The previous prime is 1324402130983. The next prime is 1324402131047. The reversal of 1324402131040 is 401312044231.

It is a junction number, because it is equal to n+sod(n) for n = 1324402130996 and 1324402131014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1324402131047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55773570 + ... + 55797310.

It is an arithmetic number, because the mean of its divisors is an integer number (32824145970).

Almost surely, 21324402131040 is an apocalyptic number.

1324402131040 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 1324402131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575559006560).

1324402131040 is an abundant number, since it is smaller than the sum of its proper divisors (1826715882080).

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

1324402131040 is a wasteful number, since it uses less digits than its factorization.

1324402131040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26216 (or 26208 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 1324402131040 its reverse (401312044231), we get a palindrome (1725714175271).

The spelling of 1324402131040 in words is "one trillion, three hundred twenty-four billion, four hundred two million, one hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 151 160 302 604 755 1208 1510 2309 2416 3020 4618 4832 6040 9236 11545 12080 18472 23090 23741 24160 36944 46180 47482 73888 92360 94964 118705 184720 189928 237410 348659 369440 379856 474820 697318 759712 949640 1394636 1743295 1899280 2789272 3486590 3584891 3798560 5578544 6973180 7169782 11157088 13946360 14339564 17924455 27892720 28679128 35848910 54817969 55785440 57358256 71697820 109635938 114716512 143395640 219271876 274089845 286791280 438543752 548179690 573582560 877087504 1096359380 1754175008 2192718760 4385437520 8277513319 8770875040 16555026638 33110053276 41387566595 66220106552 82775133190 132440213104 165550266380 264880426208 331100532760 662201065520 1324402131040