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40413212324001 = 321134840969691
BaseRepresentation
bin10010011000001011011110…
…01010100011000010100001
312022002110120020210222112200
421030011233022203002201
520244112224323332001
6221541323510243413
711340521034615546
oct1114055712430241
9168073506728480
1040413212324001
1111971168872000
124648427056569
131971c462883aa
149da01d2b6bcd
154a1391508086
hex24c16f2a30a1

40413212324001 has 48 divisors (see below), whose sum is σ = 64209965951040. Its totient is φ = 24491998555200.

The previous prime is 40413212323963. The next prime is 40413212324033. The reversal of 40413212324001 is 10042321231404.

40413212324001 is a `hidden beast` number, since 4 + 0 + 4 + 1 + 3 + 21 + 232 + 400 + 1 = 666.

It is not a de Polignac number, because 40413212324001 - 213 = 40413212315809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40413212324041) 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 47 ways as a sum of consecutive naturals, for example, 579856566 + ... + 579926256.

It is an arithmetic number, because the mean of its divisors is an integer number (1337707623980).

Almost surely, 240413212324001 is an apocalyptic number.

It is an amenable number.

40413212324001 is a deficient number, since it is larger than the sum of its proper divisors (23796753627039).

40413212324001 is a wasteful number, since it uses less digits than its factorization.

40413212324001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118139 (or 118114 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 40413212324001 its reverse (10042321231404), we get a palindrome (50455533555405).

The spelling of 40413212324001 in words is "forty trillion, four hundred thirteen billion, two hundred twelve million, three hundred twenty-four thousand, one".

Divisors: 1 3 9 11 33 99 121 363 1089 1331 3993 11979 48409 69691 145227 209073 435681 532499 627219 766601 1597497 2299803 4792491 5857489 6899409 8432611 17572467 25297833 52717401 64432379 75893499 92758721 193297137 278276163 579891411 834828489 3373671619 10121014857 30363044571 37110387809 111331163427 333993490281 408214265899 1224642797697 3673928393091 4490356924889 13471070774667 40413212324001