Search a number
-
+
140922156816 = 2432724121092
BaseRepresentation
bin1000001100111110011…
…1010111011100010000
3111110202002220022002100
42003033213113130100
54302102033004231
6144423322520400
713116116366100
oct2031747273420
9443662808070
10140922156816
115484597a211
122338a666100
131039a94570c
146b6bcb5200
1539ebb781e6
hex20cf9d7710

140922156816 has 405 divisors, whose sum is σ = 474592184703. Its totient is φ = 38921057280.

The previous prime is 140922156811. The next prime is 140922156833. The reversal of 140922156816 is 618651229041.

The square root of 140922156816 is 375396.

It is a perfect power (a square), and thus also a powerful number.

140922156816 is a `hidden beast` number, since 1 + 409 + 221 + 5 + 6 + 8 + 16 = 666.

140922156816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 17636902416 + 123285254400 = 132804^2 + 351120^2 .

It is not an unprimeable number, because it can be changed into a prime (140922156811) 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 80 ways as a sum of consecutive naturals, for example, 1292863770 + ... + 1292863878.

Almost surely, 2140922156816 is an apocalyptic number.

140922156816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

140922156816 is the 375396-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140922156816

140922156816 is an abundant number, since it is smaller than the sum of its proper divisors (333670027887).

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

140922156816 is a wasteful number, since it uses less digits than its factorization.

140922156816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 140922156816 in words is "one hundred forty billion, nine hundred twenty-two million, one hundred fifty-six thousand, eight hundred sixteen".