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40340033005545 = 32572132336039881
BaseRepresentation
bin10010010110000011001010…
…10101100110011111101001
312021211110200021000102122200
421023001211111212133221
520241412341422134140
6221443542203410413
711332320423644100
oct1113014525463751
9167743607012580
1040340033005545
1111943125a72a19
124636203523a09
131968083263920
149d667a33b037
1549e50bc32030
hex24b0655667e9

40340033005545 has 144 divisors (see below), whose sum is σ = 87971461158672. Its totient is φ = 16949546127360.

The previous prime is 40340033005487. The next prime is 40340033005579. The reversal of 40340033005545 is 54550033004304.

40340033005545 is a `hidden beast` number, since 4 + 0 + 340 + 0 + 3 + 300 + 5 + 5 + 4 + 5 = 666.

40340033005545 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 12644190121689 + 27695842883856 = 3555867^2 + 5262684^2 .

It is not a de Polignac number, because 40340033005545 - 212 = 40340033001449 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3659005 + ... + 9698885.

It is an arithmetic number, because the mean of its divisors is an integer number (610912924713).

Almost surely, 240340033005545 is an apocalyptic number.

40340033005545 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40340033005545 is an abundant number, since it is smaller than the sum of its proper divisors (47631428153127).

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

40340033005545 is a wasteful number, since it uses less digits than its factorization.

40340033005545 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6040152 (or 6040142 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 36.

Adding to 40340033005545 its reverse (54550033004304), we get a palindrome (94890066009849).

The spelling of 40340033005545 in words is "forty trillion, three hundred forty billion, thirty-three million, five thousand, five hundred forty-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 49 63 65 91 105 117 147 195 233 245 273 315 441 455 585 637 699 735 819 1165 1365 1631 1911 2097 2205 3029 3185 3495 4095 4893 5733 8155 9087 9555 10485 11417 14679 15145 21203 24465 27261 28665 34251 45435 57085 63609 73395 102753 106015 136305 148421 171255 190827 318045 445263 513765 742105 954135 1335789 2226315 6039881 6678945 18119643 30199405 42279167 54358929 78518453 90598215 126837501 211395835 235555359 271794645 295954169 380512503 392592265 549629171 634187505 706666077 887862507 1177776795 1407292273 1479770845 1648887513 1902562515 2663587521 2748145855 3533330385 3847404197 4221876819 4439312535 4946662539 7036461365 8244437565 9851045911 11542212591 12665630457 13317937605 18294799549 19237020985 21109384095 24733312695 29553137733 34626637773 49255229555 54884398647 57711062955 63328152285 68957321377 88659413199 91473997745 128063596843 147765688665 164653195941 173133188865 206871964131 274421993235 344786606885 384190790529 443297065995 620615892393 640317984215 823265979705 896445177901 1034359820655 1152572371587 1920953952645 2689335533703 3103079461965 4482225889505 5762861857935 8068006601109 13446677668515 40340033005545