Search a number
-
+
453701139840 = 27365131931127
BaseRepresentation
bin1101001101000101011…
…00011111110110000000
31121101002012201221000000
412212202230133312000
524413134442433330
6544232154000000
744531065025634
oct6464254376600
91541065657000
10453701139840
11165460513603
1273b1b716000
1333a26110730
1417d6028cdc4
15bc0617c560
hex69a2b1fd80

453701139840 has 1792 divisors, whose sum is σ = 1917915955200. Its totient is φ = 101583175680.

The previous prime is 453701139823. The next prime is 453701139841. The reversal of 453701139840 is 48931107354.

453701139840 is a `hidden beast` number, since 4 + 537 + 0 + 1 + 1 + 39 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (453701139841) 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 223 ways as a sum of consecutive naturals, for example, 3572449857 + ... + 3572449983.

It is an arithmetic number, because the mean of its divisors is an integer number (1070265600).

Almost surely, 2453701139840 is an apocalyptic number.

453701139840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 453701139840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958957977600).

453701139840 is an abundant number, since it is smaller than the sum of its proper divisors (1464214815360).

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

453701139840 is a wasteful number, since it uses less digits than its factorization.

453701139840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 453701139840 in words is "four hundred fifty-three billion, seven hundred one million, one hundred thirty-nine thousand, eight hundred forty".