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1341134434440 = 233451932144717
BaseRepresentation
bin10011100001000001110…
…101110111000010001000
311202012200222001020020000
4103201001311313002020
5133433120403400230
62504035245203000
7165615363413253
oct23410165670210
94665628036200
101341134434440
11477854474659
12197b07260460
13996121c5b88
1448ca869a09a
1524d452e5b60
hex13841d77088

1341134434440 has 160 divisors (see below), whose sum is σ = 4531059929880. Its totient is φ = 355782647808.

The previous prime is 1341134434427. The next prime is 1341134434543. The reversal of 1341134434440 is 444344311431.

1341134434440 is a `hidden beast` number, since 1 + 3 + 41 + 134 + 43 + 4 + 440 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 598769535204 + 742364899236 = 773802^2 + 861606^2 .

It is a super-2 number, since 2×13411344344402 (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 = 1341134434395 and 1341134434404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 447039 + ... + 1697678.

Almost surely, 21341134434440 is an apocalyptic number.

1341134434440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1341134434440 is an abundant number, since it is smaller than the sum of its proper divisors (3189925495440).

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

1341134434440 is a wasteful number, since it uses less digits than its factorization.

1341134434440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2144933 (or 2144920 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 1341134434440 its reverse (444344311431), we get a palindrome (1785478745871).

The spelling of 1341134434440 in words is "one trillion, three hundred forty-one billion, one hundred thirty-four million, four hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 193 216 270 324 360 386 405 540 579 648 772 810 965 1080 1158 1544 1620 1737 1930 2316 2895 3240 3474 3860 4632 5211 5790 6948 7720 8685 10422 11580 13896 15633 17370 20844 23160 26055 31266 34740 41688 52110 62532 69480 78165 104220 125064 156330 208440 312660 625320 2144717 4289434 6434151 8578868 10723585 12868302 17157736 19302453 21447170 25736604 32170755 38604906 42894340 51473208 57907359 64341510 77209812 85788680 96512265 115814718 128683020 154419624 173722077 193024530 231629436 257366040 289536795 347444154 386049060 413930381 463258872 579073590 694888308 772098120 827860762 868610385 1158147180 1241791143 1389776616 1655721524 1737220770 2069651905 2316294360 2483582286 3311443048 3474441540 3725373429 4139303810 4967164572 6208955715 6948883080 7450746858 8278607620 9934329144 11176120287 12417911430 14901493716 16557215240 18626867145 22352240574 24835822860 29802987432 33528360861 37253734290 44704481148 49671645720 55880601435 67056721722 74507468580 89408962296 111761202870 134113443444 149014937160 167641804305 223522405740 268226886888 335283608610 447044811480 670567217220 1341134434440