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1343014120404 = 223211171232316189
BaseRepresentation
bin10011100010110001111…
…000010010101111010100
311202101112222000011121200
4103202301320102233110
5134000443103323104
62504545553312500
7166013066445255
oct23426170225724
94671488004550
101343014120404
11478629505530
12198350865730
13998517663a8
1449006196b2c
1524e0533eb39
hex138b1e12bd4

1343014120404 has 144 divisors (see below), whose sum is σ = 3921874407360. Its totient is φ = 382979589120.

The previous prime is 1343014120397. The next prime is 1343014120439. The reversal of 1343014120404 is 4040214103431.

1343014120404 is a `hidden beast` number, since 13 + 430 + 14 + 1 + 204 + 0 + 4 = 666.

It is a congruent number.

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, 82950342 + ... + 82966530.

It is an arithmetic number, because the mean of its divisors is an integer number (27235238940).

Almost surely, 21343014120404 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 1343014120404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1960937203680).

1343014120404 is an abundant number, since it is smaller than the sum of its proper divisors (2578860286956).

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

1343014120404 is a wasteful number, since it uses less digits than its factorization.

1343014120404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28550 (or 28545 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1343014120404 its reverse (4040214103431), we get a palindrome (5383228223835).

The spelling of 1343014120404 in words is "one trillion, three hundred forty-three billion, fourteen million, one hundred twenty thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 306 374 396 561 612 748 1122 1683 2244 3366 6732 12323 16189 24646 32378 36969 48567 49292 64756 73938 97134 110907 135553 145701 147876 178079 194268 209491 221814 271106 275213 291402 356158 406659 418982 443628 534237 542212 550426 582804 628473 712316 813318 825639 837964 1068474 1100852 1219977 1256946 1602711 1626636 1651278 1885419 2136948 2304401 2439954 2476917 2513892 3027343 3205422 3302556 3770838 4608802 4879908 4953834 6054686 6410844 6913203 7541676 9082029 9217604 9907668 12109372 13826406 18164058 20739609 27246087 27652812 36328116 41479218 54492174 82958436 108984348 199497047 398994094 598491141 797988188 1196982282 1795473423 2194467517 2393964564 3391449799 3590946846 4388935034 6583402551 6782899598 7181893692 8777870068 10174349397 13166805102 13565799196 19750207653 20348698794 26333610204 30523048191 37305947789 39500415306 40697397588 61046096382 74611895578 79000830612 111917843367 122092192764 149223791156 223835686734 335753530101 447671373468 671507060202 1343014120404