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1343134401516 = 22322315741924659
BaseRepresentation
bin10011100010111001000…
…011001000001111101100
311202101212100100002021200
4103202321003020033230
5134001214401322031
62505005531325500
7166016060020125
oct23427103101754
94671770302250
101343134401516
11478690399506
12198384bb0890
139987065b24b
144901814704c
1524e10b9d8e6
hex138b90c83ec

1343134401516 has 144 divisors (see below), whose sum is σ = 3573979718400. Its totient is φ = 424485300096.

The previous prime is 1343134401467. The next prime is 1343134401559. The reversal of 1343134401516 is 6151044313431.

1343134401516 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 134 + 4 + 0 + 1 + 516 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 54455995 + ... + 54480653.

It is an arithmetic number, because the mean of its divisors is an integer number (24819303600).

Almost surely, 21343134401516 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 1343134401516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1786989859200).

1343134401516 is an abundant number, since it is smaller than the sum of its proper divisors (2230845316884).

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

1343134401516 is a wasteful number, since it uses less digits than its factorization.

1343134401516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25268 (or 25263 counting only the distinct ones).

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

Adding to 1343134401516 its reverse (6151044313431), we get a palindrome (7494178714947).

The spelling of 1343134401516 in words is "one trillion, three hundred forty-three billion, one hundred thirty-four million, four hundred one thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 157 207 276 314 414 419 471 628 828 838 942 1257 1413 1676 1884 2514 2826 3611 3771 5028 5652 7222 7542 9637 10833 14444 15084 19274 21666 24659 28911 32499 38548 43332 49318 57822 64998 65783 73977 86733 98636 115644 129996 131566 147954 173466 197349 221931 263132 295908 346932 394698 443862 567157 592047 789396 887724 1134314 1184094 1513009 1701471 2268628 2368188 3026018 3402942 3871463 4539027 5104413 6052036 6805884 7742926 9078054 10208826 10332121 11614389 13617081 15485852 18156108 20417652 20664242 23228778 27234162 30996363 34843167 41328484 46457556 54468324 61992726 69686334 89043649 92989089 123985452 139372668 178087298 185978178 237638783 267130947 356174596 371956356 475277566 534261894 712916349 801392841 950555132 1068523788 1425832698 1602785682 1622142997 2138749047 2851665396 3205571364 3244285994 4277498094 4866428991 6488571988 8554996188 9732857982 14599286973 19465715964 29198573946 37309288931 58397147892 74618577862 111927866793 149237155724 223855733586 335783600379 447711467172 671567200758 1343134401516