Search a number
-
+
40024342413225 = 3252238347192657
BaseRepresentation
bin10010001100110111001001…
…01101100011111110101001
312020201021211020110201122200
421012123210231203332221
520221224323124210400
6221042532402410413
711300443342122342
oct1106334455437651
9166637736421580
1040024342413225
1111831256950455
1245a4b9b360a09
1319443827c1981
149c528d3a90c9
154961d1ce8b00
hex2466e4b63fa9

40024342413225 has 72 divisors (see below), whose sum is σ = 74806619427072. Its totient is φ = 20417750284800.

The previous prime is 40024342413221. The next prime is 40024342413257. The reversal of 40024342413225 is 52231424342004.

40024342413225 is a `hidden beast` number, since 4 + 0 + 0 + 2 + 4 + 3 + 424 + 1 + 3 + 225 = 666.

It is not a de Polignac number, because 40024342413225 - 22 = 40024342413221 is a prime.

It is a super-2 number, since 2×400243424132252 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40024342413225.

It is not an unprimeable number, because it can be changed into a prime (40024342413221) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 431916097 + ... + 432008753.

It is an arithmetic number, because the mean of its divisors is an integer number (1038980825376).

Almost surely, 240024342413225 is an apocalyptic number.

40024342413225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40024342413225 is a deficient number, since it is larger than the sum of its proper divisors (34782277013847).

40024342413225 is a wasteful number, since it uses less digits than its factorization.

40024342413225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176167 (or 176159 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 40024342413225 its reverse (52231424342004), we get a palindrome (92255766755229).

The spelling of 40024342413225 in words is "forty trillion, twenty-four billion, three hundred forty-two million, four hundred thirteen thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 23 25 45 69 75 115 207 225 345 575 1035 1725 5175 83471 92657 250413 277971 417355 463285 751239 833913 1252065 1389855 1919833 2086775 2131111 2316425 3756195 4169565 5759499 6260325 6393333 6949275 9599165 10655555 17278497 18780975 19179999 20847825 28797495 31966665 47995825 53277775 86392485 95899995 143987475 159833325 431962425 479499975 7734172447 23202517341 38670862235 69607552023 116012586705 177885966281 193354311175 348037760115 533657898843 580062933525 889429831405 1600973696529 1740188800575 2668289494215 4447149157025 8004868482645 13341447471075 40024342413225