Search a number
-
+
31140289380672 = 263353340018883
BaseRepresentation
bin1110001010010011010011…
…11000110000000101000000
311002020222112022100010101000
413011021221320300011000
513040200303040140142
6150121352414012000
76362545254245043
oct705115170600500
9132228468303330
1031140289380672
119a1658259106a
1235ab243aa7000
13144b69421a134
147992ab62cc5a
1539006c87414c
hex1c5269e30140

31140289380672 has 112 divisors (see below), whose sum is σ = 93273980258880. Its totient is φ = 10184245553664.

The previous prime is 31140289380649. The next prime is 31140289380679. The reversal of 31140289380672 is 27608398204113.

It is a happy number.

31140289380672 is a `hidden beast` number, since 3 + 1 + 1 + 402 + 8 + 93 + 80 + 6 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31140289380679) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 169917858 + ... + 170101025.

Almost surely, 231140289380672 is an apocalyptic number.

31140289380672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

31140289380672 is an abundant number, since it is smaller than the sum of its proper divisors (62133690878208).

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

31140289380672 is a wasteful number, since it uses less digits than its factorization.

31140289380672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340018957 (or 340018941 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 31140289380672 in words is "thirty-one trillion, one hundred forty billion, two hundred eighty-nine million, three hundred eighty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 64 72 96 106 108 144 159 192 212 216 288 318 424 432 477 576 636 848 864 954 1272 1431 1696 1728 1908 2544 2862 3392 3816 5088 5724 7632 10176 11448 15264 22896 30528 45792 91584 340018883 680037766 1020056649 1360075532 2040113298 2720151064 3060169947 4080226596 5440302128 6120339894 8160453192 9180509841 10880604256 12240679788 16320906384 18021000799 18361019682 21761208512 24481359576 32641812768 36042001598 36722039364 48962719152 54063002397 65283625536 72084003196 73444078728 97925438304 108126004794 144168006392 146888157456 162189007191 195850876608 216252009588 288336012784 293776314912 324378014382 432504019176 486567021573 576672025568 587552629824 648756028764 865008038352 973134043146 1153344051136 1297512057528 1730016076704 1946268086292 2595024115056 3460032153408 3892536172584 5190048230112 7785072345168 10380096460224 15570144690336 31140289380672