Search a number
-
+
40363390832832 = 2631010680587
BaseRepresentation
bin10010010110101110101011…
…00100101001000011000000
312021220200222002220000000000
421023113111210221003000
520242303211023122312
6221502404043000000
711334105311130654
oct1113272544510300
9167820862800000
1040363390832832
1111952021943311
12463a841b09000
13196a3364b98c2
149d7854572a64
1549ee27674adc
hex24b5d59290c0

40363390832832 has 154 divisors (see below), whose sum is σ = 120143488557348. Its totient is φ = 13454462351232.

The previous prime is 40363390832813. The next prime is 40363390832839. The reversal of 40363390832832 is 23823809336304.

40363390832832 is a `hidden beast` number, since 40 + 3 + 63 + 390 + 83 + 2 + 83 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (40363390832839) by changing a digit.

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 21 ways as a sum of consecutive naturals, for example, 1561158 + ... + 9119429.

Almost surely, 240363390832832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40363390832832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60071744278674).

40363390832832 is an abundant number, since it is smaller than the sum of its proper divisors (79780097724516).

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

40363390832832 is an frugal number, since it uses more digits than its factorization.

40363390832832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10680629 (or 10680592 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 54.

The spelling of 40363390832832 in words is "forty trillion, three hundred sixty-three billion, three hundred ninety million, eight hundred thirty-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1458 1728 1944 2187 2592 2916 3888 4374 5184 5832 6561 7776 8748 11664 13122 15552 17496 19683 23328 26244 34992 39366 46656 52488 59049 69984 78732 104976 118098 139968 157464 209952 236196 314928 419904 472392 629856 944784 1259712 1889568 3779136 10680587 21361174 32041761 42722348 64083522 85444696 96125283 128167044 170889392 192250566 256334088 288375849 341778784 384501132 512668176 576751698 683557568 769002264 865127547 1025336352 1153503396 1538004528 1730255094 2050672704 2307006792 2595382641 3076009056 3460510188 4614013584 5190765282 6152018112 6921020376 7786147923 9228027168 10381530564 13842040752 15572295846 18456054336 20763061128 23358443769 27684081504 31144591692 41526122256 46716887538 55368163008 62289183384 70075331307 83052244512 93433775076 124578366768 140150662614 166104489024 186867550152 210225993921 249156733536 280301325228 373735100304 420451987842 498313467072 560602650456 630677981763 747470200608 840903975684 1121205300912 1261355963526 1494940401216 1681807951368 2242410601824 2522711927052 3363615902736 4484821203648 5045423854104 6727231805472 10090847708208 13454463610944 20181695416416 40363390832832