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40340530153200 = 24352181185729881
BaseRepresentation
bin10010010110000100000101…
…11110000100011011110000
312021211111221220111011000210
421023002002332010123300
520241414401204400300
6221444103403144120
711332335641431134
oct1113020276043360
9167744856434023
1040340530153200
1111943360661352
124636321b15040
13196813225a634
149d66c638d3c4
1549e53a6d5050
hex24b082f846f0

40340530153200 has 120 divisors (see below), whose sum is σ = 129938111286256. Its totient is φ = 10698041088000.

The previous prime is 40340530153193. The next prime is 40340530153211. The reversal of 40340530153200 is 235103504304.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 92647741 + ... + 93082140.

Almost surely, 240340530153200 is an apocalyptic number.

40340530153200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40340530153200 is an abundant number, since it is smaller than the sum of its proper divisors (89597581133056).

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

40340530153200 is a wasteful number, since it uses less digits than its factorization.

40340530153200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185730083 (or 185730072 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 40340530153200 its reverse (235103504304), we get a palindrome (40575633657504).

The spelling of 40340530153200 in words is "forty trillion, three hundred forty billion, five hundred thirty million, one hundred fifty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 181 200 240 300 362 400 543 600 724 905 1086 1200 1448 1810 2172 2715 2896 3620 4344 4525 5430 7240 8688 9050 10860 13575 14480 18100 21720 27150 36200 43440 54300 72400 108600 217200 185729881 371459762 557189643 742919524 928649405 1114379286 1485839048 1857298810 2228758572 2785948215 2971678096 3714597620 4457517144 4643247025 5571896430 7429195240 8915034288 9286494050 11143792860 13929741075 14858390480 18572988100 22287585720 27859482150 33617108461 37145976200 44575171440 55718964300 67234216922 74291952400 100851325383 111437928600 134468433844 168085542305 201702650766 222875857200 268936867688 336171084610 403405301532 504256626915 537873735376 672342169220 806810603064 840427711525 1008513253830 1344684338440 1613621206128 1680855423050 2017026507660 2521283134575 2689368676880 3361710846100 4034053015320 5042566269150 6723421692200 8068106030640 10085132538300 13446843384400 20170265076600 40340530153200