Search a number
-
+
400495943016 = 233213427880281
BaseRepresentation
bin1011101001111110110…
…10110001110101101000
31102021202020202212220200
411310333122301311220
523030203430134031
6503552453552200
740635443230011
oct5647732616550
91367666685820
10400495943016
11144938578764
1265751345660
132b9c7302950
1415553dc0008
15a64020e8e6
hex5d3f6b1d68

400495943016 has 48 divisors (see below), whose sum is σ = 1168113169860. Its totient is φ = 123229520640.

The previous prime is 400495942997. The next prime is 400495943051. The reversal of 400495943016 is 610349594004.

400495943016 is a `hidden beast` number, since 4 + 0 + 0 + 49 + 594 + 3 + 0 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 385380224100 + 15115718916 = 620790^2 + 122946^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 213939205 + ... + 213941076.

Almost surely, 2400495943016 is an apocalyptic number.

It is an amenable number.

400495943016 is an abundant number, since it is smaller than the sum of its proper divisors (767617226844).

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

400495943016 is a wasteful number, since it uses less digits than its factorization.

400495943016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427880306 (or 427880299 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 400495943016 in words is "four hundred billion, four hundred ninety-five million, nine hundred forty-three thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 427880281 855760562 1283640843 1711521124 2567281686 3423042248 3850922529 5134563372 5562443653 7701845058 10269126744 11124887306 15403690116 16687330959 22249774612 30807380232 33374661918 44499549224 50061992877 66749323836 100123985754 133498647672 200247971508 400495943016