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1343311410456 = 2332131151943183
BaseRepresentation
bin10011100011000011100…
…110010111010100011000
311202102022200102001220100
4103203003212113110120
5134002100210113311
62505035253255400
7166023336410151
oct23430346272430
94672280361810
101343311410456
114787712a8994
12198414334560
139989b225872
1449033862928
1524e214b5a56
hex138c3997518

1343311410456 has 96 divisors (see below), whose sum is σ = 3690188536320. Its totient is φ = 441409176000.

The previous prime is 1343311410439. The next prime is 1343311410503. The reversal of 1343311410456 is 6540141133431.

1343311410456 is a `hidden beast` number, since 1 + 3 + 433 + 114 + 104 + 5 + 6 = 666.

It is a super-2 number, since 2×13433114104562 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1343311410456.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 952641 + ... + 1895823.

It is an arithmetic number, because the mean of its divisors is an integer number (38439463920).

Almost surely, 21343311410456 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 1343311410456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1845094268160).

1343311410456 is an abundant number, since it is smaller than the sum of its proper divisors (2346877125864).

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

1343311410456 is a wasteful number, since it uses less digits than its factorization.

1343311410456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943477 (or 943470 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 1343311410456 its reverse (6540141133431), we get a palindrome (7883452543887).

The spelling of 1343311410456 in words is "one trillion, three hundred forty-three billion, three hundred eleven million, four hundred ten thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 131 151 262 302 393 453 524 604 786 906 1048 1179 1208 1359 1572 1812 2358 2718 3144 3624 4716 5436 9432 10872 19781 39562 59343 79124 118686 158248 178029 237372 356058 474744 712116 943183 1424232 1886366 2829549 3772732 5659098 7545464 8488647 11318196 16977294 22636392 33954588 67909176 123556973 142420633 247113946 284841266 370670919 427261899 494227892 569682532 741341838 854523798 988455784 1112012757 1139365064 1281785697 1482683676 1709047596 2224025514 2563571394 2965367352 3418095192 4448051028 5127142788 8896102056 10254285576 18657102923 37314205846 55971308769 74628411692 111942617538 149256823384 167913926307 223885235076 335827852614 447770470152 671655705228 1343311410456