Search a number
-
+
10140432043365 = 32513122331634481
BaseRepresentation
bin1001001110010000000011…
…0110011000110101100101
31022220102020010220012122200
42103210000312120311211
52312120101100341430
633322241123045113
72064423234124251
oct223440066306545
938812203805580
1010140432043365
11325a595589798
12117934a210799
1358731439ab80
14270b29ca3261
15128b98a57460
hex93900d98d65

10140432043365 has 96 divisors (see below), whose sum is σ = 18954502205184. Its totient is φ = 4985440911360.

The previous prime is 10140432043309. The next prime is 10140432043429. The reversal of 10140432043365 is 56334023404101.

10140432043365 is a `hidden beast` number, since 1 + 0 + 140 + 4 + 3 + 20 + 433 + 65 = 666.

It is not a de Polignac number, because 10140432043365 - 219 = 10140431519077 is a prime.

It is a super-2 number, since 2×101404320433652 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 2262981925 + ... + 2262986405.

It is an arithmetic number, because the mean of its divisors is an integer number (197442731304).

Almost surely, 210140432043365 is an apocalyptic number.

10140432043365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10140432043365 is a deficient number, since it is larger than the sum of its proper divisors (8814070161819).

10140432043365 is a wasteful number, since it uses less digits than its factorization.

10140432043365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8891 (or 8888 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 10140432043365 its reverse (56334023404101), we get a palindrome (66474455447466).

The spelling of 10140432043365 in words is "ten trillion, one hundred forty billion, four hundred thirty-two million, forty-three thousand, three hundred sixty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 1223 3163 3669 4481 6115 9489 11007 13443 15815 15899 18345 22405 28467 40329 41119 47445 47697 55035 58253 67215 79495 123357 142335 143091 174759 201645 205595 238485 291265 370071 524277 616785 715455 873795 1850355 2621385 3868349 5480263 11605047 14173403 16440789 19341745 27401315 34815141 42520209 49322367 50288537 58025235 70867015 71243419 82203945 127560627 150865611 174075705 184254239 212601045 213730257 246611835 251442685 356217095 452596833 552762717 637803135 641190771 754328055 921271195 1068651285 1658288151 2262984165 2763813585 3205953855 8291440755 17334071869 52002215607 86670359345 156006646821 225342934297 260011078035 676028802891 780033234105 1126714671485 2028086408673 3380144014455 10140432043365