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1164061343340 = 2232571815104189
BaseRepresentation
bin10000111100000111011…
…101100111111001101100
311010021122102210012011200
4100330013131213321230
5123032444200441330
62250432402245500
7150046345106250
oct20740735477154
94107572705150
101164061343340
11409748310455
12169729956890
1385a02a843ac
14404ab4bc260
152042ea44a60
hex10f07767e6c

1164061343340 has 144 divisors (see below), whose sum is σ = 4057708549440. Its totient is φ = 264601105920.

The previous prime is 1164061343299. The next prime is 1164061343351. The reversal of 1164061343340 is 433431604611.

1164061343340 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 0 + 613 + 4 + 3 + 34 + 0 = 666.

It is a super-2 number, since 2×11640613433402 (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 junction number, because it is equal to n+sod(n) for n = 1164061343295 and 1164061343304.

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 47 ways as a sum of consecutive naturals, for example, 2324035 + ... + 2780154.

Almost surely, 21164061343340 is an apocalyptic number.

1164061343340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1164061343340 is an abundant number, since it is smaller than the sum of its proper divisors (2893647206100).

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

1164061343340 is a wasteful number, since it uses less digits than its factorization.

1164061343340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5104392 (or 5104387 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 1164061343340 its reverse (433431604611), we get a palindrome (1597492947951).

The spelling of 1164061343340 in words is "one trillion, one hundred sixty-four billion, sixty-one million, three hundred forty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 181 210 252 315 362 420 543 630 724 905 1086 1260 1267 1629 1810 2172 2534 2715 3258 3620 3801 5068 5430 6335 6516 7602 8145 10860 11403 12670 15204 16290 19005 22806 25340 32580 38010 45612 57015 76020 114030 228060 5104189 10208378 15312567 20416756 25520945 30625134 35729323 45937701 51041890 61250268 71458646 76562835 91875402 102083780 107187969 142917292 153125670 178646615 183750804 214375938 229688505 306251340 321563907 357293230 428751876 459377010 535939845 643127814 714586460 918754020 923858209 1071879690 1286255628 1607819535 1847716418 2143759380 2771574627 3215639070 3695432836 4619291045 5543149254 6431278140 6467007463 8314723881 9238582090 11086298508 12934014926 13857873135 16629447762 18477164180 19401022389 25868029852 27715746270 32335037315 33258895524 38802044778 41573619405 55431492540 58203067167 64670074630 77604089556 83147238810 97005111945 116406134334 129340149260 166294477620 194010223890 232812268668 291015335835 388020447780 582030671670 1164061343340