Search a number
-
+
40234233442455 = 335131011811254061
BaseRepresentation
bin10010010010111110000110…
…01100010011000010010111
312021110100120220110202111000
421021133003030103002113
520233144202230124310
6221323203543514343
711321553545334303
oct1111370314230227
9167410526422430
1040234233442455
1111902273968278
1246197b74589b3
13195b0c2066560
149d14c0d64d03
1549b8b87a34c0
hex2497c3313097

40234233442455 has 128 divisors (see below), whose sum is σ = 78222167412480. Its totient is φ = 19503141120000.

The previous prime is 40234233442453. The next prime is 40234233442489. The reversal of 40234233442455 is 55424433243204.

40234233442455 is a `hidden beast` number, since 4 + 0 + 23 + 42 + 3 + 344 + 245 + 5 = 666.

It is not a de Polignac number, because 40234233442455 - 21 = 40234233442453 is a prime.

It is a super-3 number, since 3×402342334424553 (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 40234233442455.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40234233442451) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31456125 + ... + 32710185.

It is an arithmetic number, because the mean of its divisors is an integer number (611110682910).

Almost surely, 240234233442455 is an apocalyptic number.

40234233442455 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

40234233442455 is a deficient number, since it is larger than the sum of its proper divisors (37987933970025).

40234233442455 is a wasteful number, since it uses less digits than its factorization.

40234233442455 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254370 (or 1254364 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 45.

Adding to 40234233442455 its reverse (55424433243204), we get a palindrome (95658666685659).

The spelling of 40234233442455 in words is "forty trillion, two hundred thirty-four billion, two hundred thirty-three million, four hundred forty-two thousand, four hundred fifty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 101 117 135 181 195 303 351 505 543 585 905 909 1313 1515 1629 1755 2353 2715 2727 3939 4545 4887 6565 7059 8145 11765 11817 13635 18281 19695 21177 24435 35295 35451 54843 59085 63531 91405 105885 164529 177255 237653 274215 317655 493587 712959 822645 1188265 1254061 2138877 2467935 3564795 3762183 6270305 6416631 10694385 11286549 16302793 18810915 32083155 33859647 48908379 56432745 81513965 126660161 146725137 169298235 226985041 244541895 379980483 440175411 633300805 680955123 733625685 1134925205 1139941449 1646582093 1899902415 2042865369 2200877055 2950805533 3404775615 3419824347 4939746279 5699707245 6128596107 8232910465 8852416599 10214326845 14754027665 14819238837 17099121735 22925489141 24698731395 26557249797 30642980535 44262082995 44457716511 68776467423 74096194185 79671749391 114627445705 132786248985 206329402269 222288582555 298031358833 343882337115 398358746955 618988206807 894094076499 1031647011345 1490156794165 2682282229497 3094941034035 4470470382495 8046846688491 13411411147485 40234233442455