Search a number
-
+
451267385140 = 22511131933172579
BaseRepresentation
bin1101001000100011010…
…00011101011100110100
31121010210121012101012001
412210101220131130310
524343143422311030
6543150454105044
744413553325115
oct6442150353464
91533717171161
10451267385140
11164421746690
127356064b184
1333728b36ab0
1417bacd6420c
15bb12689cca
hex6911a1d734

451267385140 has 192 divisors, whose sum is σ = 1123070780160. Its totient is φ = 150155919360.

The previous prime is 451267385131. The next prime is 451267385143. The reversal of 451267385140 is 41583762154.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (451267385143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 174976371 + ... + 174978949.

It is an arithmetic number, because the mean of its divisors is an integer number (5849326980).

Almost surely, 2451267385140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 451267385140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561535390080).

451267385140 is an abundant number, since it is smaller than the sum of its proper divisors (671803395020).

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

451267385140 is a wasteful number, since it uses less digits than its factorization.

451267385140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3122 (or 3120 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 46.

The spelling of 451267385140 in words is "four hundred fifty-one billion, two hundred sixty-seven million, three hundred eighty-five thousand, one hundred forty".