Search a number
-
+
106440437056 = 2614931113953
BaseRepresentation
bin110001100100001011…
…0000010110101000000
3101011202000110102222111
41203020112002311000
53220442222441211
6120521551545104
710455456533632
oct1431026026500
9334660412874
10106440437056
1141160940858
121876682b194
13a063c07545
14521a55ca52
152b7e872421
hex18c8582d40

106440437056 has 28 divisors (see below), whose sum is σ = 211359404052. Its totient is φ = 53184524288.

The previous prime is 106440437029. The next prime is 106440437057. The reversal of 106440437056 is 650734044601.

It can be written as a sum of positive squares in 2 ways, for example, as 56461363456 + 49979073600 = 237616^2 + 223560^2 .

It is a super-2 number, since 2×1064404370562 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106440437057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 461425 + ... + 652528.

Almost surely, 2106440437056 is an apocalyptic number.

106440437056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106440437056 is a deficient number, since it is larger than the sum of its proper divisors (104918966996).

106440437056 is a wasteful number, since it uses less digits than its factorization.

106440437056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115458 (or 1115448 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The spelling of 106440437056 in words is "one hundred six billion, four hundred forty million, four hundred thirty-seven thousand, fifty-six".

Divisors: 1 2 4 8 16 32 64 1493 2986 5972 11944 23888 47776 95552 1113953 2227906 4455812 8911624 17823248 35646496 71292992 1663131829 3326263658 6652527316 13305054632 26610109264 53220218528 106440437056