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400231456641 = 3317538456011
BaseRepresentation
bin1011101001011111010…
…01110101111110000001
31102021001211002120211000
411310233221311332001
523024133223103031
6503510325042213
740626052151502
oct5645751657601
91367054076730
10400231456641
11144812250185
1265698856369
132b98458a633
141552ac12ba9
15a626db83e6
hex5d2fa75f81

400231456641 has 16 divisors (see below), whose sum is σ = 593273801920. Its totient is φ = 266668731360.

The previous prime is 400231456613. The next prime is 400231456657. The reversal of 400231456641 is 146654132004.

400231456641 is a `hidden beast` number, since 4 + 0 + 0 + 2 + 3 + 1 + 4 + 5 + 6 + 641 = 666.

It is not a de Polignac number, because 400231456641 - 25 = 400231456609 is a prime.

It is a super-3 number, since 3×4002314566413 (a number of 36 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 400231456596 and 400231456605.

It is not an unprimeable number, because it can be changed into a prime (400231456661) 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 15 ways as a sum of consecutive naturals, for example, 4180675 + ... + 4275336.

It is an arithmetic number, because the mean of its divisors is an integer number (37079612620).

Almost surely, 2400231456641 is an apocalyptic number.

It is an amenable number.

400231456641 is a deficient number, since it is larger than the sum of its proper divisors (193042345279).

400231456641 is a wasteful number, since it uses less digits than its factorization.

400231456641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8457773 (or 8457767 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 400231456641 its reverse (146654132004), we get a palindrome (546885588645).

The spelling of 400231456641 in words is "four hundred billion, two hundred thirty-one million, four hundred fifty-six thousand, six hundred forty-one".

Divisors: 1 3 9 27 1753 5259 15777 47331 8456011 25368033 76104099 228312297 14823387283 44470161849 133410485547 400231456641