Search a number
-
+
1346043890160 = 2432510477178439
BaseRepresentation
bin10011100101100110011…
…101111100100111110000
311202200101010001102101100
4103211212131330213300
5134023144213441120
62510210344004400
7166151136200244
oct23454635744760
94680333042340
101346043890160
11479943759382
12198a57460700
1399c15371b68
144921270c424
1525031314490
hex1396677c9f0

1346043890160 has 120 divisors (see below), whose sum is σ = 4520920865760. Its totient is φ = 358908765696.

The previous prime is 1346043890101. The next prime is 1346043890173. The reversal of 1346043890160 is 610983406431.

1346043890160 is a `hidden beast` number, since 1 + 3 + 4 + 604 + 38 + 9 + 0 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×13460438901602 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7454221 + ... + 7632659.

It is an arithmetic number, because the mean of its divisors is an integer number (37674340548).

Almost surely, 21346043890160 is an apocalyptic number.

1346043890160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1346043890160 is an abundant number, since it is smaller than the sum of its proper divisors (3174876975600).

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

1346043890160 is a wasteful number, since it uses less digits than its factorization.

1346043890160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188935 (or 188926 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 1346043890160 in words is "one trillion, three hundred forty-six billion, forty-three million, eight hundred ninety thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 10477 20954 31431 41908 52385 62862 83816 94293 104770 125724 157155 167632 178439 188586 209540 251448 314310 356878 377172 419080 471465 502896 535317 628620 713756 754344 838160 892195 942930 1070634 1257240 1427512 1508688 1605951 1784390 1885860 2141268 2514480 2676585 2855024 3211902 3568780 3771720 4282536 5353170 6423804 7137560 7543440 8029755 8565072 10706340 12847608 14275120 16059510 21412680 25695216 32119020 42825360 64238040 128476080 1869505403 3739010806 5608516209 7478021612 9347527015 11217032418 14956043224 16825548627 18695054030 22434064836 28042581045 29912086448 33651097254 37390108060 44868129672 56085162090 67302194508 74780216120 84127743135 89736259344 112170324180 134604389016 149560432240 168255486270 224340648360 269208778032 336510972540 448681296720 673021945080 1346043890160