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400003240432221 = 33731863710889323
BaseRepresentation
bin101101011110011010000001…
…1000011100001001001011101
31221110021221021120201010111000
41122330310003003201021131
5404412123114022312341
63534422541332420513
7150153165122100516
oct13274640303411135
91843257246633430
10400003240432221
111064a9470185358
1238a43383a77739
13142271b39a4a7a
1470ac38db59a0d
15313a0078668b6
hex16bcd030e125d

400003240432221 has 32 divisors (see below), whose sum is σ = 600747453307520. Its totient is φ = 263001692610432.

The previous prime is 400003240432207. The next prime is 400003240432253. The reversal of 400003240432221 is 122234042300004.

400003240432221 is a `hidden beast` number, since 4 + 0 + 0 + 0 + 0 + 3 + 2 + 4 + 0 + 432 + 221 = 666.

It is not a de Polignac number, because 400003240432221 - 227 = 400003106214493 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400003240432291) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 31288866 + ... + 42178188.

It is an arithmetic number, because the mean of its divisors is an integer number (18773357915860).

Almost surely, 2400003240432221 is an apocalyptic number.

It is an amenable number.

400003240432221 is a deficient number, since it is larger than the sum of its proper divisors (200744212875299).

400003240432221 is a wasteful number, since it uses less digits than its factorization.

400003240432221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10908042 (or 10908036 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 400003240432221 its reverse (122234042300004), we get a palindrome (522237282732225).

The spelling of 400003240432221 in words is "four hundred trillion, three billion, two hundred forty million, four hundred thirty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 27 73 219 657 1971 18637 55911 167733 503199 1360501 4081503 10889323 12244509 32667969 36733527 98003907 294011721 794920579 2384761737 7154285211 21462855633 202944312751 608832938253 1826498814759 5479496444277 14814934830823 44444804492469 133334413477407 400003240432221