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1340222424024 = 2331173449154883
BaseRepresentation
bin10011100000001011011…
…110110100001111011000
311202010100101221022010110
4103200023132310033120
5133424233420032044
62503404545444320
7165553650432621
oct23401336641730
94663311838113
101340222424024
11477426689740
121978b19406a0
13994c8285843
1448c1d4d4a48
1524ce01e56b9
hex1380b7b43d8

1340222424024 has 128 divisors (see below), whose sum is σ = 3713498784000. Its totient is φ = 399669903360.

The previous prime is 1340222424017. The next prime is 1340222424029. The reversal of 1340222424024 is 4204242220431.

It is a happy number.

It is a super-2 number, since 2×13402224240242 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1340222423982 and 1340222424000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340222424029) 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, 8575687 + ... + 8730569.

It is an arithmetic number, because the mean of its divisors is an integer number (29011709250).

Almost surely, 21340222424024 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 1340222424024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1856749392000).

1340222424024 is an abundant number, since it is smaller than the sum of its proper divisors (2373276359976).

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

1340222424024 is a wasteful number, since it uses less digits than its factorization.

1340222424024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155425 (or 155421 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 1340222424024 its reverse (4204242220431), we get a palindrome (5544464644455).

The spelling of 1340222424024 in words is "one trillion, three hundred forty billion, two hundred twenty-two million, four hundred twenty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 73 88 132 146 219 264 292 438 449 584 803 876 898 1347 1606 1752 1796 2409 2694 3212 3592 4818 4939 5388 6424 9636 9878 10776 14817 19272 19756 29634 32777 39512 59268 65554 98331 118536 131108 154883 196662 262216 309766 360547 393324 464649 619532 721094 786648 929298 1081641 1239064 1442188 1703713 1858596 2163282 2884376 3407426 3717192 4326564 5111139 6814852 8653128 10222278 11306459 13629704 20444556 22612918 33919377 40889112 45225836 67838754 69542467 90451672 124371049 135677508 139084934 208627401 248742098 271355016 278169868 373113147 417254802 497484196 556339736 746226294 764967137 834509604 994968392 1492452588 1529934274 1669019208 2294901411 2984905176 3059868548 4589802822 5076600091 6119737096 9179605644 10153200182 15229800273 18359211288 20306400364 30459600546 40612800728 55842601001 60919201092 111685202002 121838402184 167527803003 223370404004 335055606006 446740808008 670111212012 1340222424024